%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN480+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 13:53:22 EDT 2022 % Result : Theorem 0.97s 1.14s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN480+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n004.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 17:40:22 EDT 2022 % 0.12/0.33 % CPUTime : % 0.97/1.14 (* PROOF-FOUND *) % 0.97/1.14 % SZS status Theorem % 0.97/1.14 (* BEGIN-PROOF *) % 0.97/1.14 % SZS output start Proof % 0.97/1.14 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a1533))/\((~(c0_1 (a1533)))/\(~(c3_1 (a1533)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a1534))/\((c2_1 (a1534))/\(~(c3_1 (a1534)))))))/\(((~(hskp2))\/((ndr1_0)/\((c3_1 (a1535))/\((~(c1_1 (a1535)))/\(~(c2_1 (a1535)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a1536))/\((~(c0_1 (a1536)))/\(~(c2_1 (a1536)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c1_1 (a1538)))/\((~(c2_1 (a1538)))/\(~(c3_1 (a1538)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a1539))/\((c3_1 (a1539))/\(~(c0_1 (a1539)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a1543))/\((~(c1_1 (a1543)))/\(~(c2_1 (a1543)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))))/\(((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600)))))))/\(((~(hskp25))\/((ndr1_0)/\((c3_1 (a1612))/\((~(c0_1 (a1612)))/\(~(c2_1 (a1612)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624)))))))/\(((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a1632)))/\((~(c1_1 (a1632)))/\(~(c2_1 (a1632)))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp0)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5)))/\(((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))\/(~(c3_1 X7))))))\/(hskp3)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(hskp4)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(hskp3)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp4)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((hskp12)\/(hskp3)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c1_1 X47))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp13)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))))/\(((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp14)\/(hskp1)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21)))/\(((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7)))/\(((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10))/\(((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22)))/\(((hskp29)\/((hskp19)\/(hskp25)))/\(((hskp14)\/((hskp1)\/(hskp4)))/\(((hskp14)\/((hskp20)\/(hskp15)))/\(((hskp31)\/((hskp15)\/(hskp7)))/\(((hskp1)\/((hskp15)\/(hskp26)))/\(((hskp10)\/((hskp12)\/(hskp3)))/\(((hskp23)\/((hskp3)\/(hskp26)))/\((hskp5)\/((hskp27)\/(hskp9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.97/1.14 Proof. % 0.97/1.14 assert (zenon_L1_ : (~(hskp10)) -> (hskp10) -> False). % 0.97/1.14 do 0 intro. intros zenon_H1 zenon_H2. % 0.97/1.14 exact (zenon_H1 zenon_H2). % 0.97/1.14 (* end of lemma zenon_L1_ *) % 0.97/1.14 assert (zenon_L2_ : (~(hskp3)) -> (hskp3) -> False). % 0.97/1.14 do 0 intro. intros zenon_H3 zenon_H4. % 0.97/1.14 exact (zenon_H3 zenon_H4). % 0.97/1.14 (* end of lemma zenon_L2_ *) % 0.97/1.14 assert (zenon_L3_ : ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp10)) -> (~(hskp12)) -> (~(hskp3)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H5 zenon_H1 zenon_H6 zenon_H3. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H7 ]. % 0.97/1.14 exact (zenon_H1 zenon_H2). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H8 | zenon_intro zenon_H4 ]. % 0.97/1.14 exact (zenon_H6 zenon_H8). % 0.97/1.14 exact (zenon_H3 zenon_H4). % 0.97/1.14 (* end of lemma zenon_L3_ *) % 0.97/1.14 assert (zenon_L4_ : (~(hskp14)) -> (hskp14) -> False). % 0.97/1.14 do 0 intro. intros zenon_H9 zenon_Ha. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 (* end of lemma zenon_L4_ *) % 0.97/1.14 assert (zenon_L5_ : (~(hskp20)) -> (hskp20) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hb zenon_Hc. % 0.97/1.14 exact (zenon_Hb zenon_Hc). % 0.97/1.14 (* end of lemma zenon_L5_ *) % 0.97/1.14 assert (zenon_L6_ : (~(hskp15)) -> (hskp15) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hd zenon_He. % 0.97/1.14 exact (zenon_Hd zenon_He). % 0.97/1.14 (* end of lemma zenon_L6_ *) % 0.97/1.14 assert (zenon_L7_ : ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(hskp20)) -> (~(hskp15)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.97/1.14 exact (zenon_Hb zenon_Hc). % 0.97/1.14 exact (zenon_Hd zenon_He). % 0.97/1.14 (* end of lemma zenon_L7_ *) % 0.97/1.14 assert (zenon_L8_ : (~(hskp23)) -> (hskp23) -> False). % 0.97/1.14 do 0 intro. intros zenon_H11 zenon_H12. % 0.97/1.14 exact (zenon_H11 zenon_H12). % 0.97/1.14 (* end of lemma zenon_L8_ *) % 0.97/1.14 assert (zenon_L9_ : ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp23)) -> (~(hskp3)) -> (~(hskp26)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H13 zenon_H11 zenon_H3 zenon_H14. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H12 | zenon_intro zenon_H15 ]. % 0.97/1.14 exact (zenon_H11 zenon_H12). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H4 | zenon_intro zenon_H16 ]. % 0.97/1.14 exact (zenon_H3 zenon_H4). % 0.97/1.14 exact (zenon_H14 zenon_H16). % 0.97/1.14 (* end of lemma zenon_L9_ *) % 0.97/1.14 assert (zenon_L10_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.97/1.14 do 0 intro. intros zenon_H17 zenon_H18. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 (* end of lemma zenon_L10_ *) % 0.97/1.14 assert (zenon_L11_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (ndr1_0) -> (~(c0_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c3_1 (a1624))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H19 zenon_H18 zenon_H1a zenon_H1b zenon_H1c. % 0.97/1.14 generalize (zenon_H19 (a1624)). zenon_intro zenon_H1d. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.97/1.14 exact (zenon_H1a zenon_H20). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.97/1.14 exact (zenon_H1b zenon_H22). % 0.97/1.14 exact (zenon_H1c zenon_H21). % 0.97/1.14 (* end of lemma zenon_L11_ *) % 0.97/1.14 assert (zenon_L12_ : (~(hskp30)) -> (hskp30) -> False). % 0.97/1.14 do 0 intro. intros zenon_H23 zenon_H24. % 0.97/1.14 exact (zenon_H23 zenon_H24). % 0.97/1.14 (* end of lemma zenon_L12_ *) % 0.97/1.14 assert (zenon_L13_ : (~(hskp8)) -> (hskp8) -> False). % 0.97/1.14 do 0 intro. intros zenon_H25 zenon_H26. % 0.97/1.14 exact (zenon_H25 zenon_H26). % 0.97/1.14 (* end of lemma zenon_L13_ *) % 0.97/1.14 assert (zenon_L14_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp8)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H18 zenon_H23 zenon_H25. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.97/1.14 apply (zenon_L11_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.97/1.14 exact (zenon_H23 zenon_H24). % 0.97/1.14 exact (zenon_H25 zenon_H26). % 0.97/1.14 (* end of lemma zenon_L14_ *) % 0.97/1.14 assert (zenon_L15_ : (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (c0_1 (a1546)) -> (c1_1 (a1546)) -> (c3_1 (a1546)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H29 zenon_H18 zenon_H2a zenon_H2b zenon_H2c. % 0.97/1.14 generalize (zenon_H29 (a1546)). zenon_intro zenon_H2d. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H17 | zenon_intro zenon_H2e ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.97/1.14 exact (zenon_H30 zenon_H2a). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.97/1.14 exact (zenon_H32 zenon_H2b). % 0.97/1.14 exact (zenon_H31 zenon_H2c). % 0.97/1.14 (* end of lemma zenon_L15_ *) % 0.97/1.14 assert (zenon_L16_ : ((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H33 zenon_H34 zenon_H1. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H29 | zenon_intro zenon_H2 ]. % 0.97/1.14 apply (zenon_L15_); trivial. % 0.97/1.14 exact (zenon_H1 zenon_H2). % 0.97/1.14 (* end of lemma zenon_L16_ *) % 0.97/1.14 assert (zenon_L17_ : ((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H37 zenon_H38 zenon_H34 zenon_H1 zenon_H25 zenon_H27. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 0.97/1.14 apply (zenon_L14_); trivial. % 0.97/1.14 apply (zenon_L16_); trivial. % 0.97/1.14 (* end of lemma zenon_L17_ *) % 0.97/1.14 assert (zenon_L18_ : ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (c3_1 (a1593)) -> (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (c0_1 (a1593)) -> (ndr1_0) -> False). % 0.97/1.14 do 0 intro. intros zenon_H34 zenon_H1 zenon_H3b zenon_H3c zenon_H3d zenon_H18. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H29 | zenon_intro zenon_H2 ]. % 0.97/1.14 generalize (zenon_H29 (a1593)). zenon_intro zenon_H3e. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H17 | zenon_intro zenon_H3f ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.97/1.14 exact (zenon_H41 zenon_H3d). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.97/1.14 generalize (zenon_H3c (a1593)). zenon_intro zenon_H44. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H17 | zenon_intro zenon_H45 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.97/1.14 exact (zenon_H43 zenon_H47). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ]. % 0.97/1.14 exact (zenon_H41 zenon_H3d). % 0.97/1.14 exact (zenon_H42 zenon_H3b). % 0.97/1.14 exact (zenon_H42 zenon_H3b). % 0.97/1.14 exact (zenon_H1 zenon_H2). % 0.97/1.14 (* end of lemma zenon_L18_ *) % 0.97/1.14 assert (zenon_L19_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H48 zenon_H18 zenon_H49 zenon_H4a zenon_H4b. % 0.97/1.14 generalize (zenon_H48 (a1574)). zenon_intro zenon_H4c. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H17 | zenon_intro zenon_H4d ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.97/1.14 exact (zenon_H49 zenon_H4f). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.97/1.14 exact (zenon_H51 zenon_H4a). % 0.97/1.14 exact (zenon_H50 zenon_H4b). % 0.97/1.14 (* end of lemma zenon_L19_ *) % 0.97/1.14 assert (zenon_L20_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(hskp14)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H52 zenon_H53 zenon_H1 zenon_H34 zenon_H4b zenon_H4a zenon_H49 zenon_H9. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 0.97/1.14 apply (zenon_L18_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 0.97/1.14 apply (zenon_L19_); trivial. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 (* end of lemma zenon_L20_ *) % 0.97/1.14 assert (zenon_L21_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1554))) -> (c1_1 (a1554)) -> (c2_1 (a1554)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H58 zenon_H18 zenon_H59 zenon_H5a zenon_H5b. % 0.97/1.14 generalize (zenon_H58 (a1554)). zenon_intro zenon_H5c. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H17 | zenon_intro zenon_H5d ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.97/1.14 exact (zenon_H59 zenon_H5f). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.97/1.14 exact (zenon_H61 zenon_H5a). % 0.97/1.14 exact (zenon_H60 zenon_H5b). % 0.97/1.14 (* end of lemma zenon_L21_ *) % 0.97/1.14 assert (zenon_L22_ : (forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55)))))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H62 zenon_H18 zenon_H63 zenon_H64 zenon_H65. % 0.97/1.14 generalize (zenon_H62 (a1565)). zenon_intro zenon_H66. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H17 | zenon_intro zenon_H67 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.97/1.14 exact (zenon_H63 zenon_H69). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.97/1.14 exact (zenon_H64 zenon_H6b). % 0.97/1.14 exact (zenon_H6a zenon_H65). % 0.97/1.14 (* end of lemma zenon_L22_ *) % 0.97/1.14 assert (zenon_L23_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1554)) -> (c1_1 (a1554)) -> (~(c0_1 (a1554))) -> (~(hskp14)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H6c zenon_H6d zenon_H5b zenon_H5a zenon_H59 zenon_H9. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 0.97/1.14 apply (zenon_L21_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 0.97/1.14 apply (zenon_L22_); trivial. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 (* end of lemma zenon_L23_ *) % 0.97/1.14 assert (zenon_L24_ : (forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57)))))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H71 zenon_H18 zenon_H72 zenon_H73 zenon_H74. % 0.97/1.14 generalize (zenon_H71 (a1558)). zenon_intro zenon_H75. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H17 | zenon_intro zenon_H76 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 0.97/1.14 exact (zenon_H72 zenon_H78). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ]. % 0.97/1.14 exact (zenon_H7a zenon_H73). % 0.97/1.14 exact (zenon_H79 zenon_H74). % 0.97/1.14 (* end of lemma zenon_L24_ *) % 0.97/1.14 assert (zenon_L25_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1554)) -> (c1_1 (a1554)) -> (~(c0_1 (a1554))) -> (~(hskp10)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H7b zenon_H7c zenon_H5b zenon_H5a zenon_H59 zenon_H1. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 0.97/1.14 apply (zenon_L21_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 0.97/1.14 apply (zenon_L24_); trivial. % 0.97/1.14 exact (zenon_H1 zenon_H2). % 0.97/1.14 (* end of lemma zenon_L25_ *) % 0.97/1.14 assert (zenon_L26_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c0_1 (a1554))) -> (c1_1 (a1554)) -> (c2_1 (a1554)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H13 zenon_H3 zenon_H27 zenon_H25 zenon_H1 zenon_H34 zenon_H38 zenon_H83 zenon_Hf zenon_H59 zenon_H5a zenon_H5b zenon_H6d zenon_H84. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.14 apply (zenon_L7_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 0.97/1.14 apply (zenon_L9_); trivial. % 0.97/1.14 apply (zenon_L17_); trivial. % 0.97/1.14 apply (zenon_L20_); trivial. % 0.97/1.14 apply (zenon_L23_); trivial. % 0.97/1.14 apply (zenon_L25_); trivial. % 0.97/1.14 (* end of lemma zenon_L26_ *) % 0.97/1.14 assert (zenon_L27_ : (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H3c zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 0.97/1.14 generalize (zenon_H3c (a1549)). zenon_intro zenon_H8b. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H8b); [ zenon_intro zenon_H17 | zenon_intro zenon_H8c ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8e | zenon_intro zenon_H8d ]. % 0.97/1.14 exact (zenon_H88 zenon_H8e). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 0.97/1.14 exact (zenon_H90 zenon_H89). % 0.97/1.14 exact (zenon_H8f zenon_H8a). % 0.97/1.14 (* end of lemma zenon_L27_ *) % 0.97/1.14 assert (zenon_L28_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp14)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H85 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_H9. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 0.97/1.14 apply (zenon_L19_); trivial. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 (* end of lemma zenon_L28_ *) % 0.97/1.14 assert (zenon_L29_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_H9 zenon_Hd zenon_Hf. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.14 apply (zenon_L7_); trivial. % 0.97/1.14 apply (zenon_L28_); trivial. % 0.97/1.14 (* end of lemma zenon_L29_ *) % 0.97/1.14 assert (zenon_L30_ : (~(hskp19)) -> (hskp19) -> False). % 0.97/1.14 do 0 intro. intros zenon_H91 zenon_H92. % 0.97/1.14 exact (zenon_H91 zenon_H92). % 0.97/1.14 (* end of lemma zenon_L30_ *) % 0.97/1.14 assert (zenon_L31_ : ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp24)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H91 zenon_H94. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H62 | zenon_intro zenon_H95 ]. % 0.97/1.14 apply (zenon_L22_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H92 | zenon_intro zenon_H96 ]. % 0.97/1.14 exact (zenon_H91 zenon_H92). % 0.97/1.14 exact (zenon_H94 zenon_H96). % 0.97/1.14 (* end of lemma zenon_L31_ *) % 0.97/1.14 assert (zenon_L32_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1600))) -> (~(c3_1 (a1600))) -> (c0_1 (a1600)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H97 zenon_H18 zenon_H98 zenon_H99 zenon_H9a. % 0.97/1.14 generalize (zenon_H97 (a1600)). zenon_intro zenon_H9b. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H9b); [ zenon_intro zenon_H17 | zenon_intro zenon_H9c ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 0.97/1.14 exact (zenon_H98 zenon_H9e). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.97/1.14 exact (zenon_H99 zenon_Ha0). % 0.97/1.14 exact (zenon_H9f zenon_H9a). % 0.97/1.14 (* end of lemma zenon_L32_ *) % 0.97/1.14 assert (zenon_L33_ : (~(hskp13)) -> (hskp13) -> False). % 0.97/1.14 do 0 intro. intros zenon_Ha1 zenon_Ha2. % 0.97/1.14 exact (zenon_Ha1 zenon_Ha2). % 0.97/1.14 (* end of lemma zenon_L33_ *) % 0.97/1.14 assert (zenon_L34_ : ((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Ha3 zenon_Ha4 zenon_H91 zenon_Ha1. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H18. zenon_intro zenon_Ha5. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H9a. zenon_intro zenon_Ha6. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha7 ]. % 0.97/1.14 apply (zenon_L32_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha2 ]. % 0.97/1.14 exact (zenon_H91 zenon_H92). % 0.97/1.14 exact (zenon_Ha1 zenon_Ha2). % 0.97/1.14 (* end of lemma zenon_L34_ *) % 0.97/1.14 assert (zenon_L35_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp19)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H91 zenon_H93. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 0.97/1.14 apply (zenon_L31_); trivial. % 0.97/1.14 apply (zenon_L34_); trivial. % 0.97/1.14 (* end of lemma zenon_L35_ *) % 0.97/1.14 assert (zenon_L36_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp13)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Ha9 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H23 zenon_Ha1. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H24 | zenon_intro zenon_Ha2 ]. % 0.97/1.14 exact (zenon_H23 zenon_H24). % 0.97/1.14 exact (zenon_Ha1 zenon_Ha2). % 0.97/1.14 (* end of lemma zenon_L36_ *) % 0.97/1.14 assert (zenon_L37_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (c1_1 (a1546)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c3_1 (a1546)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hab zenon_H18 zenon_H2b zenon_H48 zenon_H2c. % 0.97/1.14 generalize (zenon_Hab (a1546)). zenon_intro zenon_Hac. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hac); [ zenon_intro zenon_H17 | zenon_intro zenon_Had ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H32 | zenon_intro zenon_Hae ]. % 0.97/1.14 exact (zenon_H32 zenon_H2b). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haf | zenon_intro zenon_H31 ]. % 0.97/1.14 generalize (zenon_H48 (a1546)). zenon_intro zenon_Hb0. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_H17 | zenon_intro zenon_Hb1 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H2f ]. % 0.97/1.14 exact (zenon_Haf zenon_Hb2). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.97/1.14 exact (zenon_H32 zenon_H2b). % 0.97/1.14 exact (zenon_H31 zenon_H2c). % 0.97/1.14 exact (zenon_H31 zenon_H2c). % 0.97/1.14 (* end of lemma zenon_L37_ *) % 0.97/1.14 assert (zenon_L38_ : (~(hskp22)) -> (hskp22) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hb3 zenon_Hb4. % 0.97/1.14 exact (zenon_Hb3 zenon_Hb4). % 0.97/1.14 (* end of lemma zenon_L38_ *) % 0.97/1.14 assert (zenon_L39_ : ((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp22)) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp14)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H33 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hb3 zenon_Hb5 zenon_H9. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hab | zenon_intro zenon_Hb6 ]. % 0.97/1.14 apply (zenon_L37_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Ha | zenon_intro zenon_Hb4 ]. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 exact (zenon_Hb3 zenon_Hb4). % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 (* end of lemma zenon_L39_ *) % 0.97/1.14 assert (zenon_L40_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp22)) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H38 zenon_H53 zenon_H9 zenon_Hb3 zenon_Hb5 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 0.97/1.14 apply (zenon_L36_); trivial. % 0.97/1.14 apply (zenon_L39_); trivial. % 0.97/1.14 (* end of lemma zenon_L40_ *) % 0.97/1.14 assert (zenon_L41_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hb7 zenon_H18 zenon_Hb8 zenon_Hb9 zenon_Hba. % 0.97/1.14 generalize (zenon_Hb7 (a1573)). zenon_intro zenon_Hbb. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hbb); [ zenon_intro zenon_H17 | zenon_intro zenon_Hbc ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ]. % 0.97/1.14 exact (zenon_Hb8 zenon_Hbe). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.97/1.14 exact (zenon_Hb9 zenon_Hc0). % 0.97/1.14 exact (zenon_Hbf zenon_Hba). % 0.97/1.14 (* end of lemma zenon_L41_ *) % 0.97/1.14 assert (zenon_L42_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a1581))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a1581))) -> (c2_1 (a1581)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hc1 zenon_H18 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Hc5. % 0.97/1.14 generalize (zenon_Hc1 (a1581)). zenon_intro zenon_Hc6. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hc6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc7 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc8 ]. % 0.97/1.14 exact (zenon_Hc2 zenon_Hc9). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.97/1.14 generalize (zenon_Hc3 (a1581)). zenon_intro zenon_Hcc. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hcc); [ zenon_intro zenon_H17 | zenon_intro zenon_Hcd ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.97/1.14 exact (zenon_Hcb zenon_Hcf). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hca ]. % 0.97/1.14 exact (zenon_Hc4 zenon_Hd0). % 0.97/1.14 exact (zenon_Hca zenon_Hc5). % 0.97/1.14 exact (zenon_Hca zenon_Hc5). % 0.97/1.14 (* end of lemma zenon_L42_ *) % 0.97/1.14 assert (zenon_L43_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1581)) -> (~(c3_1 (a1581))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1581))) -> (ndr1_0) -> (c0_1 (a1546)) -> (c1_1 (a1546)) -> (c3_1 (a1546)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_Hc5 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H18 zenon_H2a zenon_H2b zenon_H2c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.97/1.14 apply (zenon_L41_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 0.97/1.14 apply (zenon_L42_); trivial. % 0.97/1.14 apply (zenon_L15_); trivial. % 0.97/1.14 (* end of lemma zenon_L43_ *) % 0.97/1.14 assert (zenon_L44_ : ((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (~(c1_1 (a1581))) -> (~(c3_1 (a1581))) -> (c2_1 (a1581)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H33 zenon_Hd3 zenon_H1c zenon_H1b zenon_H1a zenon_Hc2 zenon_Hc4 zenon_Hc5 zenon_Hd1 zenon_Hb8 zenon_Hb9 zenon_Hba. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 0.97/1.14 apply (zenon_L11_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 0.97/1.14 apply (zenon_L43_); trivial. % 0.97/1.14 apply (zenon_L41_); trivial. % 0.97/1.14 (* end of lemma zenon_L44_ *) % 0.97/1.14 assert (zenon_L45_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> (~(c1_1 (a1581))) -> (~(c3_1 (a1581))) -> (c2_1 (a1581)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H83 zenon_H38 zenon_Hd3 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hc2 zenon_Hc4 zenon_Hc5 zenon_Hd1 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H11 zenon_H3 zenon_H13. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 0.97/1.14 apply (zenon_L9_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 0.97/1.14 apply (zenon_L36_); trivial. % 0.97/1.14 apply (zenon_L44_); trivial. % 0.97/1.14 (* end of lemma zenon_L45_ *) % 0.97/1.14 assert (zenon_L46_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a1593))) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hd5 zenon_H18 zenon_H43 zenon_H56 zenon_H3d. % 0.97/1.14 generalize (zenon_Hd5 (a1593)). zenon_intro zenon_Hd6. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hd7 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H47 | zenon_intro zenon_Hd8 ]. % 0.97/1.14 exact (zenon_H43 zenon_H47). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H41 ]. % 0.97/1.14 exact (zenon_H56 zenon_Hd9). % 0.97/1.14 exact (zenon_H41 zenon_H3d). % 0.97/1.14 (* end of lemma zenon_L46_ *) % 0.97/1.14 assert (zenon_L47_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a1593))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H48 zenon_H18 zenon_H56 zenon_Hd5 zenon_H3d zenon_H3b. % 0.97/1.14 generalize (zenon_H48 (a1593)). zenon_intro zenon_Hda. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hda); [ zenon_intro zenon_H17 | zenon_intro zenon_Hdb ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H40 ]. % 0.97/1.14 exact (zenon_H56 zenon_Hd9). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.97/1.14 apply (zenon_L46_); trivial. % 0.97/1.14 exact (zenon_H42 zenon_H3b). % 0.97/1.14 (* end of lemma zenon_L47_ *) % 0.97/1.14 assert (zenon_L48_ : (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (c0_1 (a1593)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(c2_1 (a1593))) -> (c3_1 (a1593)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H29 zenon_H18 zenon_H3d zenon_Hd5 zenon_H56 zenon_H3b. % 0.97/1.14 generalize (zenon_H29 (a1593)). zenon_intro zenon_H3e. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H17 | zenon_intro zenon_H3f ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.97/1.14 exact (zenon_H41 zenon_H3d). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.97/1.14 apply (zenon_L46_); trivial. % 0.97/1.14 exact (zenon_H42 zenon_H3b). % 0.97/1.14 (* end of lemma zenon_L48_ *) % 0.97/1.14 assert (zenon_L49_ : (~(hskp5)) -> (hskp5) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hdc zenon_Hdd. % 0.97/1.14 exact (zenon_Hdc zenon_Hdd). % 0.97/1.14 (* end of lemma zenon_L49_ *) % 0.97/1.14 assert (zenon_L50_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c3_1 (a1593)) -> (~(c2_1 (a1593))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c0_1 (a1593)) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hde zenon_H3b zenon_H56 zenon_Hd5 zenon_H3d zenon_H18 zenon_Hdc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H48 | zenon_intro zenon_Hdf ]. % 0.97/1.14 apply (zenon_L47_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 0.97/1.14 apply (zenon_L48_); trivial. % 0.97/1.14 exact (zenon_Hdc zenon_Hdd). % 0.97/1.14 (* end of lemma zenon_L50_ *) % 0.97/1.14 assert (zenon_L51_ : (~(hskp11)) -> (hskp11) -> False). % 0.97/1.14 do 0 intro. intros zenon_He0 zenon_He1. % 0.97/1.14 exact (zenon_He0 zenon_He1). % 0.97/1.14 (* end of lemma zenon_L51_ *) % 0.97/1.14 assert (zenon_L52_ : (~(hskp1)) -> (hskp1) -> False). % 0.97/1.14 do 0 intro. intros zenon_He2 zenon_He3. % 0.97/1.14 exact (zenon_He2 zenon_He3). % 0.97/1.14 (* end of lemma zenon_L52_ *) % 0.97/1.14 assert (zenon_L53_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp11)) -> (~(hskp1)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H52 zenon_He4 zenon_Hdc zenon_Hde zenon_He0 zenon_He2. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He5 ]. % 0.97/1.14 apply (zenon_L50_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He1 | zenon_intro zenon_He3 ]. % 0.97/1.14 exact (zenon_He0 zenon_He1). % 0.97/1.14 exact (zenon_He2 zenon_He3). % 0.97/1.14 (* end of lemma zenon_L53_ *) % 0.97/1.14 assert (zenon_L54_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_He6 zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13 zenon_H3 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_Hd3 zenon_H38 zenon_H83. % 0.97/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.14 apply (zenon_L45_); trivial. % 0.97/1.14 apply (zenon_L53_); trivial. % 0.97/1.14 (* end of lemma zenon_L54_ *) % 0.97/1.14 assert (zenon_L55_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H6c zenon_He9 zenon_Hea zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13 zenon_H3 zenon_Hd1 zenon_Hd3 zenon_H83 zenon_Ha9 zenon_H8a zenon_H89 zenon_H88 zenon_Hb5 zenon_H9 zenon_H53 zenon_H38 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.14 apply (zenon_L35_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.14 apply (zenon_L40_); trivial. % 0.97/1.14 apply (zenon_L54_); trivial. % 0.97/1.14 (* end of lemma zenon_L55_ *) % 0.97/1.14 assert (zenon_L56_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hee zenon_H18 zenon_H88 zenon_Hd5 zenon_H89 zenon_H8a. % 0.97/1.14 generalize (zenon_Hee (a1549)). zenon_intro zenon_Hef. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_H17 | zenon_intro zenon_Hf0 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H8e | zenon_intro zenon_Hf1 ]. % 0.97/1.14 exact (zenon_H88 zenon_H8e). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H8f ]. % 0.97/1.14 generalize (zenon_Hd5 (a1549)). zenon_intro zenon_Hf3. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_Hf3); [ zenon_intro zenon_H17 | zenon_intro zenon_Hf4 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H8e | zenon_intro zenon_Hf5 ]. % 0.97/1.14 exact (zenon_H88 zenon_H8e). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H90 ]. % 0.97/1.14 exact (zenon_Hf2 zenon_Hf6). % 0.97/1.14 exact (zenon_H90 zenon_H89). % 0.97/1.14 exact (zenon_H8f zenon_H8a). % 0.97/1.14 (* end of lemma zenon_L56_ *) % 0.97/1.14 assert (zenon_L57_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp3)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hf7 zenon_H8a zenon_H89 zenon_Hd5 zenon_H88 zenon_H18 zenon_H91 zenon_H3. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf8 ]. % 0.97/1.14 apply (zenon_L56_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H92 | zenon_intro zenon_H4 ]. % 0.97/1.14 exact (zenon_H91 zenon_H92). % 0.97/1.14 exact (zenon_H3 zenon_H4). % 0.97/1.14 (* end of lemma zenon_L57_ *) % 0.97/1.14 assert (zenon_L58_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp3)) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp11)) -> (~(hskp1)) -> False). % 0.97/1.14 do 0 intro. intros zenon_He4 zenon_H3 zenon_H91 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_Hf7 zenon_He0 zenon_He2. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He5 ]. % 0.97/1.14 apply (zenon_L57_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He1 | zenon_intro zenon_He3 ]. % 0.97/1.14 exact (zenon_He0 zenon_He1). % 0.97/1.14 exact (zenon_He2 zenon_He3). % 0.97/1.14 (* end of lemma zenon_L58_ *) % 0.97/1.14 assert (zenon_L59_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_Hb3. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfa ]. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H71 | zenon_intro zenon_Hb4 ]. % 0.97/1.14 apply (zenon_L24_); trivial. % 0.97/1.14 exact (zenon_Hb3 zenon_Hb4). % 0.97/1.14 (* end of lemma zenon_L59_ *) % 0.97/1.14 assert (zenon_L60_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H7b zenon_He9 zenon_Hea zenon_H82 zenon_Hdc zenon_Hde zenon_H13 zenon_Ha9 zenon_Ha1 zenon_Hd1 zenon_Hd3 zenon_H38 zenon_H83 zenon_Hf9 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_He0 zenon_He2 zenon_He4. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.14 apply (zenon_L58_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.14 apply (zenon_L59_); trivial. % 0.97/1.14 apply (zenon_L54_); trivial. % 0.97/1.14 (* end of lemma zenon_L60_ *) % 0.97/1.14 assert (zenon_L61_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H80 zenon_Hf9 zenon_Hf7 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H93 zenon_H38 zenon_Hb5 zenon_Ha9 zenon_H83 zenon_Hd3 zenon_Hd1 zenon_H3 zenon_H13 zenon_Hde zenon_Hdc zenon_He0 zenon_He2 zenon_He4 zenon_H82 zenon_Hea zenon_He9 zenon_H84. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.14 apply (zenon_L29_); trivial. % 0.97/1.14 apply (zenon_L55_); trivial. % 0.97/1.14 apply (zenon_L60_); trivial. % 0.97/1.14 (* end of lemma zenon_L61_ *) % 0.97/1.14 assert (zenon_L62_ : (~(hskp16)) -> (hskp16) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hfb zenon_Hfc. % 0.97/1.14 exact (zenon_Hfb zenon_Hfc). % 0.97/1.14 (* end of lemma zenon_L62_ *) % 0.97/1.14 assert (zenon_L63_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp3)) -> (~(hskp19)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hfd zenon_H3 zenon_H91 zenon_H88 zenon_H89 zenon_H8a zenon_Hf7 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hfb. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 0.97/1.14 apply (zenon_L57_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 0.97/1.14 apply (zenon_L22_); trivial. % 0.97/1.14 exact (zenon_Hfb zenon_Hfc). % 0.97/1.14 (* end of lemma zenon_L63_ *) % 0.97/1.14 assert (zenon_L64_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H58 zenon_H18 zenon_Hff zenon_H100 zenon_H101. % 0.97/1.14 generalize (zenon_H58 (a1556)). zenon_intro zenon_H102. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_H17 | zenon_intro zenon_H103 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ]. % 0.97/1.14 generalize (zenon_Hff (a1556)). zenon_intro zenon_H106. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_H17 | zenon_intro zenon_H107 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H108 | zenon_intro zenon_H104 ]. % 0.97/1.14 exact (zenon_H108 zenon_H105). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.97/1.14 exact (zenon_H10a zenon_H100). % 0.97/1.14 exact (zenon_H109 zenon_H101). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.97/1.14 exact (zenon_H10a zenon_H100). % 0.97/1.14 exact (zenon_H109 zenon_H101). % 0.97/1.14 (* end of lemma zenon_L64_ *) % 0.97/1.14 assert (zenon_L65_ : (~(hskp31)) -> (hskp31) -> False). % 0.97/1.14 do 0 intro. intros zenon_H10b zenon_H10c. % 0.97/1.14 exact (zenon_H10b zenon_H10c). % 0.97/1.14 (* end of lemma zenon_L65_ *) % 0.97/1.14 assert (zenon_L66_ : (~(hskp7)) -> (hskp7) -> False). % 0.97/1.14 do 0 intro. intros zenon_H10d zenon_H10e. % 0.97/1.14 exact (zenon_H10d zenon_H10e). % 0.97/1.14 (* end of lemma zenon_L66_ *) % 0.97/1.14 assert (zenon_L67_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (~(hskp31)) -> (~(hskp7)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H10f zenon_H101 zenon_H100 zenon_H18 zenon_H58 zenon_H10b zenon_H10d. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hff | zenon_intro zenon_H110 ]. % 0.97/1.14 apply (zenon_L64_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10c | zenon_intro zenon_H10e ]. % 0.97/1.14 exact (zenon_H10b zenon_H10c). % 0.97/1.14 exact (zenon_H10d zenon_H10e). % 0.97/1.14 (* end of lemma zenon_L67_ *) % 0.97/1.14 assert (zenon_L68_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> (~(hskp31)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H6d zenon_H10d zenon_H10b zenon_H100 zenon_H101 zenon_H10f zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 0.97/1.14 apply (zenon_L67_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 0.97/1.14 apply (zenon_L22_); trivial. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 (* end of lemma zenon_L68_ *) % 0.97/1.14 assert (zenon_L69_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H58 zenon_H18 zenon_H111 zenon_H112 zenon_H100 zenon_H101. % 0.97/1.14 generalize (zenon_H58 (a1556)). zenon_intro zenon_H102. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_H17 | zenon_intro zenon_H103 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ]. % 0.97/1.14 generalize (zenon_H111 (a1556)). zenon_intro zenon_H113. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H17 | zenon_intro zenon_H114 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.97/1.14 exact (zenon_H112 zenon_H116). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H108 | zenon_intro zenon_H10a ]. % 0.97/1.14 exact (zenon_H108 zenon_H105). % 0.97/1.14 exact (zenon_H10a zenon_H100). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.97/1.14 exact (zenon_H10a zenon_H100). % 0.97/1.14 exact (zenon_H109 zenon_H101). % 0.97/1.14 (* end of lemma zenon_L69_ *) % 0.97/1.14 assert (zenon_L70_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hc1 zenon_H18 zenon_Hab zenon_H117 zenon_H118 zenon_H119. % 0.97/1.14 generalize (zenon_Hc1 (a1562)). zenon_intro zenon_H11a. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H11a); [ zenon_intro zenon_H17 | zenon_intro zenon_H11b ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11d | zenon_intro zenon_H11c ]. % 0.97/1.14 generalize (zenon_Hab (a1562)). zenon_intro zenon_H11e. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H11e); [ zenon_intro zenon_H17 | zenon_intro zenon_H11f ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H121 | zenon_intro zenon_H120 ]. % 0.97/1.14 exact (zenon_H121 zenon_H11d). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H123 | zenon_intro zenon_H122 ]. % 0.97/1.14 exact (zenon_H123 zenon_H117). % 0.97/1.14 exact (zenon_H122 zenon_H118). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 0.97/1.14 exact (zenon_H124 zenon_H119). % 0.97/1.14 exact (zenon_H123 zenon_H117). % 0.97/1.14 (* end of lemma zenon_L70_ *) % 0.97/1.14 assert (zenon_L71_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (c0_1 (a1562)) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (~(hskp23)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H58 zenon_H119 zenon_H118 zenon_H117 zenon_H18 zenon_Hc1 zenon_H11. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 0.97/1.14 apply (zenon_L69_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 0.97/1.14 apply (zenon_L70_); trivial. % 0.97/1.14 exact (zenon_H11 zenon_H12). % 0.97/1.14 (* end of lemma zenon_L71_ *) % 0.97/1.14 assert (zenon_L72_ : (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (c0_1 (a1562)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H29 zenon_H18 zenon_H119 zenon_Hc1 zenon_H117 zenon_H118. % 0.97/1.14 generalize (zenon_H29 (a1562)). zenon_intro zenon_H127. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H17 | zenon_intro zenon_H128 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H124 | zenon_intro zenon_H129 ]. % 0.97/1.14 exact (zenon_H124 zenon_H119). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H121 | zenon_intro zenon_H122 ]. % 0.97/1.14 generalize (zenon_Hc1 (a1562)). zenon_intro zenon_H11a. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H11a); [ zenon_intro zenon_H17 | zenon_intro zenon_H11b ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11d | zenon_intro zenon_H11c ]. % 0.97/1.14 exact (zenon_H121 zenon_H11d). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 0.97/1.14 exact (zenon_H124 zenon_H119). % 0.97/1.14 exact (zenon_H123 zenon_H117). % 0.97/1.14 exact (zenon_H122 zenon_H118). % 0.97/1.14 (* end of lemma zenon_L72_ *) % 0.97/1.14 assert (zenon_L73_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (c0_1 (a1562)) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12a zenon_H118 zenon_H117 zenon_H119 zenon_H29 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hb. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12b ]. % 0.97/1.14 apply (zenon_L72_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H62 | zenon_intro zenon_Hc ]. % 0.97/1.14 apply (zenon_L22_); trivial. % 0.97/1.14 exact (zenon_Hb zenon_Hc). % 0.97/1.14 (* end of lemma zenon_L73_ *) % 0.97/1.14 assert (zenon_L74_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(hskp23)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (c0_1 (a1562)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H11 zenon_H58 zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H12a zenon_H118 zenon_H117 zenon_H119 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hb. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.97/1.14 apply (zenon_L41_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 0.97/1.14 apply (zenon_L71_); trivial. % 0.97/1.14 apply (zenon_L73_); trivial. % 0.97/1.14 (* end of lemma zenon_L74_ *) % 0.97/1.14 assert (zenon_L75_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp23)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H6d zenon_H11 zenon_Hc1 zenon_H117 zenon_H118 zenon_H119 zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 0.97/1.14 apply (zenon_L71_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 0.97/1.14 apply (zenon_L22_); trivial. % 0.97/1.14 exact (zenon_H9 zenon_Ha). % 0.97/1.14 (* end of lemma zenon_L75_ *) % 0.97/1.14 assert (zenon_L76_ : (~(hskp2)) -> (hskp2) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12c zenon_H12d. % 0.97/1.14 exact (zenon_H12c zenon_H12d). % 0.97/1.14 (* end of lemma zenon_L76_ *) % 0.97/1.14 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12e zenon_H12f zenon_Hb zenon_H12a zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_H6d zenon_H12c. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H58 | zenon_intro zenon_H132 ]. % 0.97/1.14 apply (zenon_L74_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12d ]. % 0.97/1.14 apply (zenon_L75_); trivial. % 0.97/1.14 exact (zenon_H12c zenon_H12d). % 0.97/1.14 (* end of lemma zenon_L77_ *) % 0.97/1.14 assert (zenon_L78_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H133 zenon_H12f zenon_H12c zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H125 zenon_H11 zenon_H112 zenon_H12a zenon_Hb zenon_Hd1 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 0.97/1.14 apply (zenon_L68_); trivial. % 0.97/1.14 apply (zenon_L77_); trivial. % 0.97/1.14 (* end of lemma zenon_L78_ *) % 0.97/1.14 assert (zenon_L79_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H100 zenon_H101 zenon_H10d zenon_H10f zenon_Hd1 zenon_Hb zenon_H12a zenon_H112 zenon_H125 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H12c zenon_H12f zenon_H133. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.14 apply (zenon_L78_); trivial. % 0.97/1.14 apply (zenon_L53_); trivial. % 0.97/1.14 (* end of lemma zenon_L79_ *) % 0.97/1.14 assert (zenon_L80_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hee zenon_H18 zenon_H134 zenon_H135 zenon_H136. % 0.97/1.14 generalize (zenon_Hee (a1566)). zenon_intro zenon_H137. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H137); [ zenon_intro zenon_H17 | zenon_intro zenon_H138 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ]. % 0.97/1.14 exact (zenon_H134 zenon_H13a). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ]. % 0.97/1.14 exact (zenon_H13c zenon_H135). % 0.97/1.14 exact (zenon_H13b zenon_H136). % 0.97/1.14 (* end of lemma zenon_L80_ *) % 0.97/1.14 assert (zenon_L81_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp3)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H13d zenon_H136 zenon_H135 zenon_H134 zenon_H18 zenon_H10b zenon_H3. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hee | zenon_intro zenon_H13e ]. % 0.97/1.14 apply (zenon_L80_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H10c | zenon_intro zenon_H4 ]. % 0.97/1.14 exact (zenon_H10b zenon_H10c). % 0.97/1.14 exact (zenon_H3 zenon_H4). % 0.97/1.14 (* end of lemma zenon_L81_ *) % 0.97/1.14 assert (zenon_L82_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H13f zenon_H18 zenon_Hc1 zenon_H134 zenon_H135 zenon_H136. % 0.97/1.14 generalize (zenon_H13f (a1566)). zenon_intro zenon_H140. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H140); [ zenon_intro zenon_H17 | zenon_intro zenon_H141 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H139 ]. % 0.97/1.14 generalize (zenon_Hc1 (a1566)). zenon_intro zenon_H143. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_H17 | zenon_intro zenon_H144 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H13a | zenon_intro zenon_H145 ]. % 0.97/1.14 exact (zenon_H134 zenon_H13a). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H146 | zenon_intro zenon_H13c ]. % 0.97/1.14 exact (zenon_H146 zenon_H142). % 0.97/1.14 exact (zenon_H13c zenon_H135). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ]. % 0.97/1.14 exact (zenon_H13c zenon_H135). % 0.97/1.14 exact (zenon_H13b zenon_H136). % 0.97/1.14 (* end of lemma zenon_L82_ *) % 0.97/1.14 assert (zenon_L83_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12a zenon_H136 zenon_H135 zenon_H134 zenon_H13f zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hb. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12b ]. % 0.97/1.14 apply (zenon_L82_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H62 | zenon_intro zenon_Hc ]. % 0.97/1.14 apply (zenon_L22_); trivial. % 0.97/1.14 exact (zenon_Hb zenon_Hc). % 0.97/1.14 (* end of lemma zenon_L83_ *) % 0.97/1.14 assert (zenon_L84_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp20)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H12e zenon_H147 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_Hb zenon_H63 zenon_H64 zenon_H65 zenon_H134 zenon_H135 zenon_H136 zenon_H12a zenon_H88 zenon_H89 zenon_H8a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 0.97/1.14 apply (zenon_L74_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 0.97/1.14 apply (zenon_L83_); trivial. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 (* end of lemma zenon_L84_ *) % 0.97/1.14 assert (zenon_L85_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H133 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H125 zenon_H11 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hb zenon_H65 zenon_H64 zenon_H63 zenon_Hd1 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H3 zenon_H13d. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 0.97/1.14 apply (zenon_L81_); trivial. % 0.97/1.14 apply (zenon_L84_); trivial. % 0.97/1.14 (* end of lemma zenon_L85_ *) % 0.97/1.14 assert (zenon_L86_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13d zenon_H3 zenon_H136 zenon_H135 zenon_H134 zenon_H18 zenon_Hd1 zenon_H63 zenon_H64 zenon_H65 zenon_Hb zenon_H12a zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H133. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.14 apply (zenon_L85_); trivial. % 0.97/1.14 apply (zenon_L53_); trivial. % 0.97/1.14 (* end of lemma zenon_L86_ *) % 0.97/1.14 assert (zenon_L87_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H149 zenon_He9 zenon_H81 zenon_H53 zenon_H9 zenon_H133 zenon_H147 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_Hd1 zenon_H13d zenon_Hde zenon_Hdc zenon_H82 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_He0 zenon_He2 zenon_He4. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.14 apply (zenon_L58_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.14 apply (zenon_L86_); trivial. % 0.97/1.14 apply (zenon_L28_); trivial. % 0.97/1.14 (* end of lemma zenon_L87_ *) % 0.97/1.14 assert (zenon_L88_ : (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(c1_1 (a1581))) -> (~(c3_1 (a1581))) -> (c2_1 (a1581)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H14c zenon_H18 zenon_Hc2 zenon_Hc4 zenon_Hc5. % 0.97/1.14 generalize (zenon_H14c (a1581)). zenon_intro zenon_H14d. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_H17 | zenon_intro zenon_H14e ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hce ]. % 0.97/1.14 exact (zenon_Hc2 zenon_Hc9). % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hca ]. % 0.97/1.14 exact (zenon_Hc4 zenon_Hd0). % 0.97/1.14 exact (zenon_Hca zenon_Hc5). % 0.97/1.14 (* end of lemma zenon_L88_ *) % 0.97/1.14 assert (zenon_L89_ : (~(hskp18)) -> (hskp18) -> False). % 0.97/1.14 do 0 intro. intros zenon_H14f zenon_H150. % 0.97/1.14 exact (zenon_H14f zenon_H150). % 0.97/1.14 (* end of lemma zenon_L89_ *) % 0.97/1.14 assert (zenon_L90_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp18)) -> False). % 0.97/1.14 do 0 intro. intros zenon_He6 zenon_H151 zenon_H25 zenon_H14f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 0.97/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 0.97/1.14 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H14c | zenon_intro zenon_H152 ]. % 0.97/1.14 apply (zenon_L88_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H26 | zenon_intro zenon_H150 ]. % 0.97/1.14 exact (zenon_H25 zenon_H26). % 0.97/1.14 exact (zenon_H14f zenon_H150). % 0.97/1.14 (* end of lemma zenon_L90_ *) % 0.97/1.14 assert (zenon_L91_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp18)) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hea zenon_H151 zenon_H14f zenon_H25 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.14 apply (zenon_L59_); trivial. % 0.97/1.14 apply (zenon_L90_); trivial. % 0.97/1.14 (* end of lemma zenon_L91_ *) % 0.97/1.14 assert (zenon_L92_ : (forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88)))))) -> (ndr1_0) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H153 zenon_H18 zenon_H112 zenon_H100 zenon_H101. % 0.97/1.14 generalize (zenon_H153 (a1556)). zenon_intro zenon_H154. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H154); [ zenon_intro zenon_H17 | zenon_intro zenon_H155 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H116 | zenon_intro zenon_H104 ]. % 0.97/1.14 exact (zenon_H112 zenon_H116). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.97/1.14 exact (zenon_H10a zenon_H100). % 0.97/1.14 exact (zenon_H109 zenon_H101). % 0.97/1.14 (* end of lemma zenon_L92_ *) % 0.97/1.14 assert (zenon_L93_ : (~(hskp21)) -> (hskp21) -> False). % 0.97/1.14 do 0 intro. intros zenon_H156 zenon_H157. % 0.97/1.14 exact (zenon_H156 zenon_H157). % 0.97/1.14 (* end of lemma zenon_L93_ *) % 0.97/1.14 assert (zenon_L94_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H101 zenon_H100 zenon_H112 zenon_H18 zenon_H156. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H3c | zenon_intro zenon_H159 ]. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H153 | zenon_intro zenon_H157 ]. % 0.97/1.14 apply (zenon_L92_); trivial. % 0.97/1.14 exact (zenon_H156 zenon_H157). % 0.97/1.14 (* end of lemma zenon_L94_ *) % 0.97/1.14 assert (zenon_L95_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H15a zenon_H18 zenon_H15b zenon_H15c zenon_H15d. % 0.97/1.14 generalize (zenon_H15a (a1575)). zenon_intro zenon_H15e. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H15e); [ zenon_intro zenon_H17 | zenon_intro zenon_H15f ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.97/1.14 exact (zenon_H15b zenon_H161). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ]. % 0.97/1.14 exact (zenon_H15c zenon_H163). % 0.97/1.14 exact (zenon_H162 zenon_H15d). % 0.97/1.14 (* end of lemma zenon_L95_ *) % 0.97/1.14 assert (zenon_L96_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c3_1 (a1558)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H48 zenon_H18 zenon_H72 zenon_H74 zenon_H164. % 0.97/1.14 generalize (zenon_H48 (a1558)). zenon_intro zenon_H165. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H165); [ zenon_intro zenon_H17 | zenon_intro zenon_H166 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H78 | zenon_intro zenon_H167 ]. % 0.97/1.14 exact (zenon_H72 zenon_H78). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H79 | zenon_intro zenon_H168 ]. % 0.97/1.14 exact (zenon_H79 zenon_H74). % 0.97/1.14 exact (zenon_H168 zenon_H164). % 0.97/1.14 (* end of lemma zenon_L96_ *) % 0.97/1.14 assert (zenon_L97_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H97 zenon_H18 zenon_H72 zenon_H48 zenon_H74 zenon_H73. % 0.97/1.14 generalize (zenon_H97 (a1558)). zenon_intro zenon_H169. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H78 | zenon_intro zenon_H16b ]. % 0.97/1.14 exact (zenon_H72 zenon_H78). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H7a ]. % 0.97/1.14 apply (zenon_L96_); trivial. % 0.97/1.14 exact (zenon_H7a zenon_H73). % 0.97/1.14 (* end of lemma zenon_L97_ *) % 0.97/1.14 assert (zenon_L98_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H16c zenon_H1c zenon_H1b zenon_H1a zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H18 zenon_H72 zenon_H48 zenon_H74 zenon_H73. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 0.97/1.14 apply (zenon_L11_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 0.97/1.14 apply (zenon_L41_); trivial. % 0.97/1.14 apply (zenon_L97_); trivial. % 0.97/1.14 (* end of lemma zenon_L98_ *) % 0.97/1.14 assert (zenon_L99_ : (~(hskp28)) -> (hskp28) -> False). % 0.97/1.14 do 0 intro. intros zenon_H16e zenon_H16f. % 0.97/1.14 exact (zenon_H16e zenon_H16f). % 0.97/1.14 (* end of lemma zenon_L99_ *) % 0.97/1.14 assert (zenon_L100_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> (~(c0_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c3_1 (a1624))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp28)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H73 zenon_H74 zenon_H72 zenon_H18 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H1a zenon_H1b zenon_H1c zenon_H16c zenon_H16e. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 0.97/1.14 apply (zenon_L95_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 0.97/1.14 apply (zenon_L98_); trivial. % 0.97/1.14 exact (zenon_H16e zenon_H16f). % 0.97/1.14 (* end of lemma zenon_L100_ *) % 0.97/1.14 assert (zenon_L101_ : (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H29 zenon_H18 zenon_H58 zenon_H172 zenon_H173 zenon_H174. % 0.97/1.14 generalize (zenon_H29 (a1542)). zenon_intro zenon_H175. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_H17 | zenon_intro zenon_H176 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H178 | zenon_intro zenon_H177 ]. % 0.97/1.14 generalize (zenon_H58 (a1542)). zenon_intro zenon_H179. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H17 | zenon_intro zenon_H17a ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 0.97/1.14 exact (zenon_H178 zenon_H17c). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H17e | zenon_intro zenon_H17d ]. % 0.97/1.14 exact (zenon_H17e zenon_H172). % 0.97/1.14 exact (zenon_H17d zenon_H173). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H17e | zenon_intro zenon_H17f ]. % 0.97/1.14 exact (zenon_H17e zenon_H172). % 0.97/1.14 exact (zenon_H17f zenon_H174). % 0.97/1.14 (* end of lemma zenon_L101_ *) % 0.97/1.14 assert (zenon_L102_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hde zenon_H73 zenon_H74 zenon_H72 zenon_H97 zenon_H174 zenon_H173 zenon_H172 zenon_H58 zenon_H18 zenon_Hdc. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H48 | zenon_intro zenon_Hdf ]. % 0.97/1.14 apply (zenon_L97_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 0.97/1.14 apply (zenon_L101_); trivial. % 0.97/1.14 exact (zenon_Hdc zenon_Hdd). % 0.97/1.14 (* end of lemma zenon_L102_ *) % 0.97/1.14 assert (zenon_L103_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a1572))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H13f zenon_H18 zenon_H180 zenon_H181 zenon_H182. % 0.97/1.14 generalize (zenon_H13f (a1572)). zenon_intro zenon_H183. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H183); [ zenon_intro zenon_H17 | zenon_intro zenon_H184 ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.97/1.14 exact (zenon_H180 zenon_H186). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ]. % 0.97/1.14 exact (zenon_H188 zenon_H181). % 0.97/1.14 exact (zenon_H187 zenon_H182). % 0.97/1.14 (* end of lemma zenon_L103_ *) % 0.97/1.14 assert (zenon_L104_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp5)) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H147 zenon_Hdc zenon_H172 zenon_H173 zenon_H174 zenon_H97 zenon_H72 zenon_H74 zenon_H73 zenon_Hde zenon_H182 zenon_H181 zenon_H180 zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 0.97/1.14 apply (zenon_L102_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 0.97/1.14 apply (zenon_L103_); trivial. % 0.97/1.14 apply (zenon_L27_); trivial. % 0.97/1.14 (* end of lemma zenon_L104_ *) % 0.97/1.14 assert (zenon_L105_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp5)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 0.97/1.14 do 0 intro. intros zenon_H189 zenon_H16c zenon_H1c zenon_H1b zenon_H1a zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H147 zenon_Hdc zenon_H72 zenon_H74 zenon_H73 zenon_Hde zenon_H182 zenon_H181 zenon_H180 zenon_H88 zenon_H89 zenon_H8a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 0.97/1.14 apply (zenon_L11_); trivial. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 0.97/1.14 apply (zenon_L41_); trivial. % 0.97/1.14 apply (zenon_L104_); trivial. % 0.97/1.14 (* end of lemma zenon_L105_ *) % 0.97/1.14 assert (zenon_L106_ : ((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1572))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H37 zenon_H18c zenon_Hde zenon_Hdc zenon_H180 zenon_H181 zenon_H182 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H15b zenon_H15c zenon_H15d zenon_H16c zenon_H73 zenon_H74 zenon_H72 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.14 apply (zenon_L100_); trivial. % 0.97/1.14 apply (zenon_L105_); trivial. % 0.97/1.14 (* end of lemma zenon_L106_ *) % 0.97/1.14 assert (zenon_L107_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1572))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H83 zenon_H18c zenon_Hde zenon_Hdc zenon_H180 zenon_H181 zenon_H182 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H15b zenon_H15c zenon_H15d zenon_H16c zenon_H73 zenon_H74 zenon_H72 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170 zenon_H11 zenon_H3 zenon_H13. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 0.97/1.14 apply (zenon_L9_); trivial. % 0.97/1.14 apply (zenon_L106_); trivial. % 0.97/1.14 (* end of lemma zenon_L107_ *) % 0.97/1.14 assert (zenon_L108_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H18d zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_H13 zenon_H3 zenon_H170 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H72 zenon_H74 zenon_H73 zenon_H16c zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_H182 zenon_H181 zenon_H180 zenon_Hdc zenon_Hde zenon_H18c zenon_H83. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.14 apply (zenon_L107_); trivial. % 0.97/1.14 apply (zenon_L53_); trivial. % 0.97/1.14 (* end of lemma zenon_L108_ *) % 0.97/1.14 assert (zenon_L109_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H190 zenon_He9 zenon_H191 zenon_H82 zenon_H13 zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_H16c zenon_H147 zenon_Hdc zenon_Hde zenon_H18c zenon_H83 zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_He0 zenon_He2 zenon_He4. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.14 apply (zenon_L58_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.14 apply (zenon_L94_); trivial. % 0.97/1.14 apply (zenon_L108_); trivial. % 0.97/1.14 (* end of lemma zenon_L109_ *) % 0.97/1.14 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H7b zenon_H194 zenon_He9 zenon_H191 zenon_H82 zenon_H13 zenon_H170 zenon_H16c zenon_H147 zenon_Hdc zenon_Hde zenon_H18c zenon_H83 zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_Hf7 zenon_H3 zenon_He0 zenon_He2 zenon_He4 zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 0.97/1.14 apply (zenon_L91_); trivial. % 0.97/1.14 apply (zenon_L109_); trivial. % 0.97/1.14 (* end of lemma zenon_L110_ *) % 0.97/1.14 assert (zenon_L111_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 0.97/1.14 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H191 zenon_H13 zenon_H170 zenon_H16c zenon_H18c zenon_H83 zenon_H158 zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_He9 zenon_H133 zenon_H12f zenon_H12c zenon_H125 zenon_H12a zenon_Hd1 zenon_H10f zenon_H10d zenon_H6d zenon_Hde zenon_Hdc zenon_He0 zenon_He2 zenon_He4 zenon_H82 zenon_Hf7 zenon_H3 zenon_Hfd zenon_H13d zenon_H147 zenon_H196 zenon_H84. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.14 apply (zenon_L29_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 0.97/1.14 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.14 apply (zenon_L63_); trivial. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.14 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.14 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.14 apply (zenon_L79_); trivial. % 0.97/1.14 apply (zenon_L28_); trivial. % 0.97/1.14 apply (zenon_L87_); trivial. % 0.97/1.14 apply (zenon_L110_); trivial. % 0.97/1.14 (* end of lemma zenon_L111_ *) % 0.97/1.14 assert (zenon_L112_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> False). % 0.97/1.14 do 0 intro. intros zenon_Hc1 zenon_H18 zenon_H199 zenon_H19a zenon_H19b. % 0.97/1.14 generalize (zenon_Hc1 (a1553)). zenon_intro zenon_H19c. % 0.97/1.14 apply (zenon_imply_s _ _ zenon_H19c); [ zenon_intro zenon_H17 | zenon_intro zenon_H19d ]. % 0.97/1.14 exact (zenon_H17 zenon_H18). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.97/1.14 exact (zenon_H199 zenon_H19f). % 0.97/1.14 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.97/1.14 exact (zenon_H1a1 zenon_H19a). % 0.97/1.14 exact (zenon_H1a0 zenon_H19b). % 0.97/1.14 (* end of lemma zenon_L112_ *) % 0.97/1.15 assert (zenon_L113_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H12a zenon_H19b zenon_H19a zenon_H199 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hb. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12b ]. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H62 | zenon_intro zenon_Hc ]. % 0.97/1.15 apply (zenon_L22_); trivial. % 0.97/1.15 exact (zenon_Hb zenon_Hc). % 0.97/1.15 (* end of lemma zenon_L113_ *) % 0.97/1.15 assert (zenon_L114_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H6c zenon_H81 zenon_H53 zenon_H9 zenon_H8a zenon_H89 zenon_H88 zenon_H199 zenon_H19a zenon_H19b zenon_H12a. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.15 apply (zenon_L113_); trivial. % 0.97/1.15 apply (zenon_L28_); trivial. % 0.97/1.15 (* end of lemma zenon_L114_ *) % 0.97/1.15 assert (zenon_L115_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H84 zenon_H199 zenon_H19a zenon_H19b zenon_H12a zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.15 apply (zenon_L29_); trivial. % 0.97/1.15 apply (zenon_L114_); trivial. % 0.97/1.15 (* end of lemma zenon_L115_ *) % 0.97/1.15 assert (zenon_L116_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1572))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H58 zenon_H18 zenon_H180 zenon_H1a2 zenon_H182 zenon_H181. % 0.97/1.15 generalize (zenon_H58 (a1572)). zenon_intro zenon_H1a3. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_H17 | zenon_intro zenon_H1a4 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H186 | zenon_intro zenon_H1a5 ]. % 0.97/1.15 exact (zenon_H180 zenon_H186). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H188 ]. % 0.97/1.15 generalize (zenon_H1a2 (a1572)). zenon_intro zenon_H1a7. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1a7); [ zenon_intro zenon_H17 | zenon_intro zenon_H1a8 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H186 | zenon_intro zenon_H1a9 ]. % 0.97/1.15 exact (zenon_H180 zenon_H186). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1aa | zenon_intro zenon_H187 ]. % 0.97/1.15 exact (zenon_H1a6 zenon_H1aa). % 0.97/1.15 exact (zenon_H187 zenon_H182). % 0.97/1.15 exact (zenon_H188 zenon_H181). % 0.97/1.15 (* end of lemma zenon_L116_ *) % 0.97/1.15 assert (zenon_L117_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c0_1 (a1572))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H12f zenon_H181 zenon_H182 zenon_H1a2 zenon_H180 zenon_H19b zenon_H19a zenon_H199 zenon_H18 zenon_H12c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H58 | zenon_intro zenon_H132 ]. % 0.97/1.15 apply (zenon_L116_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12d ]. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 exact (zenon_H12c zenon_H12d). % 0.97/1.15 (* end of lemma zenon_L117_ *) % 0.97/1.15 assert (zenon_L118_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp2)) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp19)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (ndr1_0) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1ab zenon_H12c zenon_H180 zenon_H182 zenon_H181 zenon_H12f zenon_H3 zenon_H91 zenon_H88 zenon_H89 zenon_H8a zenon_Hf7 zenon_H18 zenon_H199 zenon_H19a zenon_H19b. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 0.97/1.15 apply (zenon_L117_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 0.97/1.15 apply (zenon_L57_); trivial. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 (* end of lemma zenon_L118_ *) % 0.97/1.15 assert (zenon_L119_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (ndr1_0) -> (c0_1 (a1593)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(c2_1 (a1593))) -> (c3_1 (a1593)) -> False). % 0.97/1.15 do 0 intro. intros zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H19b zenon_H19a zenon_H199 zenon_H18 zenon_H3d zenon_Hd5 zenon_H56 zenon_H3b. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.97/1.15 apply (zenon_L41_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 apply (zenon_L48_); trivial. % 0.97/1.15 (* end of lemma zenon_L119_ *) % 0.97/1.15 assert (zenon_L120_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp2)) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H52 zenon_H1ab zenon_H12c zenon_H180 zenon_H182 zenon_H181 zenon_H12f zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H199 zenon_H19a zenon_H19b. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 0.97/1.15 apply (zenon_L117_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 0.97/1.15 apply (zenon_L119_); trivial. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 (* end of lemma zenon_L120_ *) % 0.97/1.15 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Heb zenon_Hea zenon_H82 zenon_H1ab zenon_H180 zenon_H182 zenon_H181 zenon_H199 zenon_H19a zenon_H19b zenon_H12c zenon_H12f zenon_H13 zenon_H3 zenon_Ha9 zenon_Ha1 zenon_Hd1 zenon_Hd3 zenon_H38 zenon_H83 zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.15 apply (zenon_L59_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L45_); trivial. % 0.97/1.15 apply (zenon_L120_); trivial. % 0.97/1.15 (* end of lemma zenon_L121_ *) % 0.97/1.15 assert (zenon_L122_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H190 zenon_He9 zenon_Hea zenon_H82 zenon_H13 zenon_Ha9 zenon_Ha1 zenon_Hd1 zenon_Hd3 zenon_H38 zenon_H83 zenon_H72 zenon_H73 zenon_H74 zenon_Hf9 zenon_H12f zenon_H12c zenon_H19b zenon_H19a zenon_H199 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_H1ab. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L118_); trivial. % 0.97/1.15 apply (zenon_L121_); trivial. % 0.97/1.15 (* end of lemma zenon_L122_ *) % 0.97/1.15 assert (zenon_L123_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (~(hskp1)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H195 zenon_H1ad zenon_H19b zenon_H19a zenon_H199 zenon_He2. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1ae ]. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H153 | zenon_intro zenon_He3 ]. % 0.97/1.15 apply (zenon_L92_); trivial. % 0.97/1.15 exact (zenon_He2 zenon_He3). % 0.97/1.15 (* end of lemma zenon_L123_ *) % 0.97/1.15 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H1ad zenon_He2 zenon_H84 zenon_H12a zenon_Hf zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81 zenon_Hea zenon_H151 zenon_H25 zenon_Hf9 zenon_H1ab zenon_H3 zenon_Hf7 zenon_H12c zenon_H12f zenon_H83 zenon_H38 zenon_Hd3 zenon_Hd1 zenon_Ha9 zenon_H13 zenon_H82 zenon_He9 zenon_H194 zenon_H80. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_L115_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 0.97/1.15 apply (zenon_L91_); trivial. % 0.97/1.15 apply (zenon_L122_); trivial. % 0.97/1.15 apply (zenon_L123_); trivial. % 0.97/1.15 (* end of lemma zenon_L124_ *) % 0.97/1.15 assert (zenon_L125_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (c2_1 (a1554)) -> (c1_1 (a1554)) -> (~(c0_1 (a1554))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp5)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1b3 zenon_H5b zenon_H5a zenon_H59 zenon_H18 zenon_H9 zenon_Hdc. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H58 | zenon_intro zenon_H1b4 ]. % 0.97/1.15 apply (zenon_L21_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_Ha | zenon_intro zenon_Hdd ]. % 0.97/1.15 exact (zenon_H9 zenon_Ha). % 0.97/1.15 exact (zenon_Hdc zenon_Hdd). % 0.97/1.15 (* end of lemma zenon_L125_ *) % 0.97/1.15 assert (zenon_L126_ : ((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1b5 zenon_H80 zenon_H7c zenon_H1 zenon_Hdc zenon_H1b3. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_L125_); trivial. % 0.97/1.15 apply (zenon_L25_); trivial. % 0.97/1.15 (* end of lemma zenon_L126_ *) % 0.97/1.15 assert (zenon_L127_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp10)) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1b8 zenon_H80 zenon_H7c zenon_Hdc zenon_H1b3 zenon_H1 zenon_H3 zenon_H5. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 0.97/1.15 apply (zenon_L3_); trivial. % 0.97/1.15 apply (zenon_L126_); trivial. % 0.97/1.15 (* end of lemma zenon_L127_ *) % 0.97/1.15 assert (zenon_L128_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H16e. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 0.97/1.15 apply (zenon_L95_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 0.97/1.15 apply (zenon_L19_); trivial. % 0.97/1.15 exact (zenon_H16e zenon_H16f). % 0.97/1.15 (* end of lemma zenon_L128_ *) % 0.97/1.15 assert (zenon_L129_ : (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H111 zenon_H18 zenon_H1b9 zenon_H1ba zenon_H1bb. % 0.97/1.15 generalize (zenon_H111 (a1547)). zenon_intro zenon_H1bc. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H17 | zenon_intro zenon_H1bd ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ]. % 0.97/1.15 exact (zenon_H1b9 zenon_H1bf). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 0.97/1.15 exact (zenon_H1c1 zenon_H1ba). % 0.97/1.15 exact (zenon_H1c0 zenon_H1bb). % 0.97/1.15 (* end of lemma zenon_L129_ *) % 0.97/1.15 assert (zenon_L130_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 0.97/1.15 do 0 intro. intros zenon_Hab zenon_H18 zenon_H172 zenon_H173 zenon_H174. % 0.97/1.15 generalize (zenon_Hab (a1542)). zenon_intro zenon_H1c2. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1c2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1c3 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H17e | zenon_intro zenon_H1c4 ]. % 0.97/1.15 exact (zenon_H17e zenon_H172). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H17d | zenon_intro zenon_H17f ]. % 0.97/1.15 exact (zenon_H17d zenon_H173). % 0.97/1.15 exact (zenon_H17f zenon_H174). % 0.97/1.15 (* end of lemma zenon_L130_ *) % 0.97/1.15 assert (zenon_L131_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(hskp23)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H189 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H11. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 0.97/1.15 apply (zenon_L129_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 0.97/1.15 apply (zenon_L130_); trivial. % 0.97/1.15 exact (zenon_H11 zenon_H12). % 0.97/1.15 (* end of lemma zenon_L131_ *) % 0.97/1.15 assert (zenon_L132_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.15 apply (zenon_L128_); trivial. % 0.97/1.15 apply (zenon_L131_); trivial. % 0.97/1.15 (* end of lemma zenon_L132_ *) % 0.97/1.15 assert (zenon_L133_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18d zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L132_); trivial. % 0.97/1.15 apply (zenon_L53_); trivial. % 0.97/1.15 (* end of lemma zenon_L133_ *) % 0.97/1.15 assert (zenon_L134_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.15 apply (zenon_L94_); trivial. % 0.97/1.15 apply (zenon_L133_); trivial. % 0.97/1.15 (* end of lemma zenon_L134_ *) % 0.97/1.15 assert (zenon_L135_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H149 zenon_He9 zenon_H81 zenon_H191 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H18c zenon_H158 zenon_H133 zenon_H147 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_Hd1 zenon_H13d zenon_Hde zenon_Hdc zenon_H82 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_He0 zenon_He2 zenon_He4. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L58_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.15 apply (zenon_L86_); trivial. % 0.97/1.15 apply (zenon_L134_); trivial. % 0.97/1.15 (* end of lemma zenon_L135_ *) % 0.97/1.15 assert (zenon_L136_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp15)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1c5 zenon_H73 zenon_H74 zenon_H48 zenon_H72 zenon_H18 zenon_H16e zenon_Hd. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H97 | zenon_intro zenon_H1c6 ]. % 0.97/1.15 apply (zenon_L97_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H16f | zenon_intro zenon_He ]. % 0.97/1.15 exact (zenon_H16e zenon_H16f). % 0.97/1.15 exact (zenon_Hd zenon_He). % 0.97/1.15 (* end of lemma zenon_L136_ *) % 0.97/1.15 assert (zenon_L137_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp28)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_Hd zenon_H18 zenon_H72 zenon_H74 zenon_H73 zenon_H1c5 zenon_H16e. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 0.97/1.15 apply (zenon_L95_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 0.97/1.15 apply (zenon_L136_); trivial. % 0.97/1.15 exact (zenon_H16e zenon_H16f). % 0.97/1.15 (* end of lemma zenon_L137_ *) % 0.97/1.15 assert (zenon_L138_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.15 apply (zenon_L137_); trivial. % 0.97/1.15 apply (zenon_L131_); trivial. % 0.97/1.15 (* end of lemma zenon_L138_ *) % 0.97/1.15 assert (zenon_L139_ : (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1c7 zenon_H18 zenon_H56 zenon_H3d zenon_H3b. % 0.97/1.15 generalize (zenon_H1c7 (a1593)). zenon_intro zenon_H1c8. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H17 | zenon_intro zenon_H1c9 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H46 ]. % 0.97/1.15 exact (zenon_H56 zenon_Hd9). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H41 | zenon_intro zenon_H42 ]. % 0.97/1.15 exact (zenon_H41 zenon_H3d). % 0.97/1.15 exact (zenon_H42 zenon_H3b). % 0.97/1.15 (* end of lemma zenon_L139_ *) % 0.97/1.15 assert (zenon_L140_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(c1_1 (a1549))) -> (c3_1 (a1593)) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1ca zenon_H8a zenon_H89 zenon_Hd5 zenon_H88 zenon_H3b zenon_H3d zenon_H56 zenon_H18 zenon_Hd. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hee | zenon_intro zenon_H1cb ]. % 0.97/1.15 apply (zenon_L56_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c7 | zenon_intro zenon_He ]. % 0.97/1.15 apply (zenon_L139_); trivial. % 0.97/1.15 exact (zenon_Hd zenon_He). % 0.97/1.15 (* end of lemma zenon_L140_ *) % 0.97/1.15 assert (zenon_L141_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp15)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp11)) -> (~(hskp1)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H52 zenon_He4 zenon_Hd zenon_H88 zenon_H89 zenon_H8a zenon_H1ca zenon_He0 zenon_He2. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He5 ]. % 0.97/1.15 apply (zenon_L140_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He1 | zenon_intro zenon_He3 ]. % 0.97/1.15 exact (zenon_He0 zenon_He1). % 0.97/1.15 exact (zenon_He2 zenon_He3). % 0.97/1.15 (* end of lemma zenon_L141_ *) % 0.97/1.15 assert (zenon_L142_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H191 zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_H1ca zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_Hd zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.15 apply (zenon_L94_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L138_); trivial. % 0.97/1.15 apply (zenon_L141_); trivial. % 0.97/1.15 (* end of lemma zenon_L142_ *) % 0.97/1.15 assert (zenon_L143_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp3)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H13d zenon_H8a zenon_H89 zenon_Hd5 zenon_H88 zenon_H18 zenon_H10b zenon_H3. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hee | zenon_intro zenon_H13e ]. % 0.97/1.15 apply (zenon_L56_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H10c | zenon_intro zenon_H4 ]. % 0.97/1.15 exact (zenon_H10b zenon_H10c). % 0.97/1.15 exact (zenon_H3 zenon_H4). % 0.97/1.15 (* end of lemma zenon_L143_ *) % 0.97/1.15 assert (zenon_L144_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp3)) -> (~(hskp31)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.97/1.15 do 0 intro. intros zenon_Hfd zenon_H3 zenon_H10b zenon_H88 zenon_H89 zenon_H8a zenon_H13d zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hfb. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 0.97/1.15 apply (zenon_L143_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 0.97/1.15 apply (zenon_L22_); trivial. % 0.97/1.15 exact (zenon_Hfb zenon_Hfc). % 0.97/1.15 (* end of lemma zenon_L144_ *) % 0.97/1.15 assert (zenon_L145_ : (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c3_1 (a1565))) -> (c0_1 (a1565)) -> (c1_1 (a1565)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H111 zenon_H18 zenon_H64 zenon_H1cc zenon_H65. % 0.97/1.15 generalize (zenon_H111 (a1565)). zenon_intro zenon_H1cd. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1cd); [ zenon_intro zenon_H17 | zenon_intro zenon_H1ce ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H6b | zenon_intro zenon_H1cf ]. % 0.97/1.15 exact (zenon_H64 zenon_H6b). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6a ]. % 0.97/1.15 exact (zenon_H1d0 zenon_H1cc). % 0.97/1.15 exact (zenon_H6a zenon_H65). % 0.97/1.15 (* end of lemma zenon_L145_ *) % 0.97/1.15 assert (zenon_L146_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H19 zenon_H18 zenon_H111 zenon_H64 zenon_H65 zenon_H63. % 0.97/1.15 generalize (zenon_H19 (a1565)). zenon_intro zenon_H1d1. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H17 | zenon_intro zenon_H1d2 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1d3 ]. % 0.97/1.15 apply (zenon_L145_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H69 | zenon_intro zenon_H6b ]. % 0.97/1.15 exact (zenon_H63 zenon_H69). % 0.97/1.15 exact (zenon_H64 zenon_H6b). % 0.97/1.15 (* end of lemma zenon_L146_ *) % 0.97/1.15 assert (zenon_L147_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (c0_1 (a1562)) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (~(hskp23)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H19 zenon_H119 zenon_H118 zenon_H117 zenon_H18 zenon_Hc1 zenon_H11. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 0.97/1.15 apply (zenon_L146_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 0.97/1.15 apply (zenon_L70_); trivial. % 0.97/1.15 exact (zenon_H11 zenon_H12). % 0.97/1.15 (* end of lemma zenon_L147_ *) % 0.97/1.15 assert (zenon_L148_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp23)) -> (ndr1_0) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H12f zenon_Hb zenon_H12a zenon_H101 zenon_H100 zenon_H112 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H11 zenon_H18 zenon_H117 zenon_H118 zenon_H119 zenon_H19 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H12c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H58 | zenon_intro zenon_H132 ]. % 0.97/1.15 apply (zenon_L74_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12d ]. % 0.97/1.15 apply (zenon_L147_); trivial. % 0.97/1.15 exact (zenon_H12c zenon_H12d). % 0.97/1.15 (* end of lemma zenon_L148_ *) % 0.97/1.15 assert (zenon_L149_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp23)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp28)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H12e zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H73 zenon_H74 zenon_H72 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H12f zenon_Hb zenon_H12a zenon_H101 zenon_H100 zenon_H112 zenon_Hd1 zenon_H11 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H12c zenon_H16c zenon_H16e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 0.97/1.15 apply (zenon_L95_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 0.97/1.15 apply (zenon_L148_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 0.97/1.15 apply (zenon_L41_); trivial. % 0.97/1.15 apply (zenon_L97_); trivial. % 0.97/1.15 exact (zenon_H16e zenon_H16f). % 0.97/1.15 (* end of lemma zenon_L149_ *) % 0.97/1.15 assert (zenon_L150_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp23)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H3 zenon_H13d zenon_H15b zenon_H15c zenon_H15d zenon_H16c zenon_H73 zenon_H74 zenon_H72 zenon_Hd1 zenon_Hb zenon_H12a zenon_H112 zenon_H100 zenon_H101 zenon_H11 zenon_H125 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H12c zenon_H12f zenon_H170 zenon_H133. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 0.97/1.15 apply (zenon_L144_); trivial. % 0.97/1.15 apply (zenon_L149_); trivial. % 0.97/1.15 apply (zenon_L131_); trivial. % 0.97/1.15 (* end of lemma zenon_L150_ *) % 0.97/1.15 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp16)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H52 zenon_Hfd zenon_Hdc zenon_Hde zenon_H65 zenon_H64 zenon_H63 zenon_Hfb. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 0.97/1.15 apply (zenon_L50_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 0.97/1.15 apply (zenon_L22_); trivial. % 0.97/1.15 exact (zenon_Hfb zenon_Hfc). % 0.97/1.15 (* end of lemma zenon_L151_ *) % 0.97/1.15 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18d zenon_H82 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_Hdc zenon_Hde zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L132_); trivial. % 0.97/1.15 apply (zenon_L151_); trivial. % 0.97/1.15 (* end of lemma zenon_L152_ *) % 0.97/1.15 assert (zenon_L153_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_Hdc zenon_Hde zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.15 apply (zenon_L94_); trivial. % 0.97/1.15 apply (zenon_L152_); trivial. % 0.97/1.15 (* end of lemma zenon_L153_ *) % 0.97/1.15 assert (zenon_L154_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 0.97/1.15 do 0 intro. intros zenon_He9 zenon_H81 zenon_H158 zenon_H101 zenon_H100 zenon_H112 zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H13d zenon_H16c zenon_H73 zenon_H74 zenon_H72 zenon_Hd1 zenon_H12a zenon_H125 zenon_H12c zenon_H12f zenon_H170 zenon_H133 zenon_Hde zenon_Hdc zenon_H82 zenon_H191 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L63_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.15 apply (zenon_L94_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L150_); trivial. % 0.97/1.15 apply (zenon_L151_); trivial. % 0.97/1.15 apply (zenon_L153_); trivial. % 0.97/1.15 (* end of lemma zenon_L154_ *) % 0.97/1.15 assert (zenon_L155_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H195 zenon_H80 zenon_H16c zenon_H1c5 zenon_H1ca zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_He9 zenon_H191 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H18c zenon_H158 zenon_H133 zenon_H12f zenon_H12c zenon_H125 zenon_H12a zenon_Hd1 zenon_H10f zenon_H10d zenon_H6d zenon_Hde zenon_Hdc zenon_He0 zenon_He2 zenon_He4 zenon_H82 zenon_Hf7 zenon_H3 zenon_Hfd zenon_H13d zenon_H147 zenon_H196 zenon_H84. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.15 apply (zenon_L29_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L63_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.15 apply (zenon_L79_); trivial. % 0.97/1.15 apply (zenon_L134_); trivial. % 0.97/1.15 apply (zenon_L135_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.15 apply (zenon_L142_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_L154_); trivial. % 0.97/1.15 apply (zenon_L135_); trivial. % 0.97/1.15 (* end of lemma zenon_L155_ *) % 0.97/1.15 assert (zenon_L156_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H38 zenon_H1d4 zenon_H91 zenon_H72 zenon_H74 zenon_H73 zenon_Hdc zenon_Hde zenon_H19b zenon_H19a zenon_H199 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 0.97/1.15 apply (zenon_L36_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ]. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H97 | zenon_intro zenon_H92 ]. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H48 | zenon_intro zenon_Hdf ]. % 0.97/1.15 apply (zenon_L97_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 0.97/1.15 apply (zenon_L15_); trivial. % 0.97/1.15 exact (zenon_Hdc zenon_Hdd). % 0.97/1.15 exact (zenon_H91 zenon_H92). % 0.97/1.15 (* end of lemma zenon_L156_ *) % 0.97/1.15 assert (zenon_L157_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d6 zenon_H19b zenon_H19a zenon_H199 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H156. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d7 ]. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H71 | zenon_intro zenon_H157 ]. % 0.97/1.15 apply (zenon_L24_); trivial. % 0.97/1.15 exact (zenon_H156 zenon_H157). % 0.97/1.15 (* end of lemma zenon_L157_ *) % 0.97/1.15 assert (zenon_L158_ : (~(hskp17)) -> (hskp17) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1d8 zenon_H1d9. % 0.97/1.15 exact (zenon_H1d8 zenon_H1d9). % 0.97/1.15 (* end of lemma zenon_L158_ *) % 0.97/1.15 assert (zenon_L159_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(hskp17)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H52 zenon_H1da zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H1d8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 0.97/1.15 apply (zenon_L41_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 0.97/1.15 apply (zenon_L139_); trivial. % 0.97/1.15 exact (zenon_H1d8 zenon_H1d9). % 0.97/1.15 (* end of lemma zenon_L159_ *) % 0.97/1.15 assert (zenon_L160_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1da zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_Hd zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L138_); trivial. % 0.97/1.15 apply (zenon_L159_); trivial. % 0.97/1.15 (* end of lemma zenon_L160_ *) % 0.97/1.15 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_Hd zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.15 apply (zenon_L157_); trivial. % 0.97/1.15 apply (zenon_L160_); trivial. % 0.97/1.15 (* end of lemma zenon_L161_ *) % 0.97/1.15 assert (zenon_L162_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_Hd zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H1d6 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H199 zenon_H19a zenon_H19b zenon_Hde zenon_Hdc zenon_H73 zenon_H74 zenon_H72 zenon_H1d4 zenon_H38. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L156_); trivial. % 0.97/1.15 apply (zenon_L161_); trivial. % 0.97/1.15 (* end of lemma zenon_L162_ *) % 0.97/1.15 assert (zenon_L163_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a1570))) -> (~(c1_1 (a1570))) -> (c3_1 (a1570)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1a2 zenon_H18 zenon_H1dc zenon_H1dd zenon_H1de. % 0.97/1.15 generalize (zenon_H1a2 (a1570)). zenon_intro zenon_H1df. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e0 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 0.97/1.15 exact (zenon_H1dc zenon_H1e2). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1e3 ]. % 0.97/1.15 exact (zenon_H1dd zenon_H1e4). % 0.97/1.15 exact (zenon_H1e3 zenon_H1de). % 0.97/1.15 (* end of lemma zenon_L163_ *) % 0.97/1.15 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H52 zenon_H1ab zenon_H1de zenon_H1dd zenon_H1dc zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H199 zenon_H19a zenon_H19b. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 0.97/1.15 apply (zenon_L163_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 0.97/1.15 apply (zenon_L119_); trivial. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 (* end of lemma zenon_L164_ *) % 0.97/1.15 assert (zenon_L165_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1e5 zenon_He9 zenon_Hea zenon_H82 zenon_H1ab zenon_H13 zenon_H3 zenon_Hd1 zenon_Hd3 zenon_H83 zenon_Hf9 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_H199 zenon_H19a zenon_H19b zenon_Hde zenon_Hdc zenon_H73 zenon_H74 zenon_H72 zenon_H1d4 zenon_H38. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L156_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.15 apply (zenon_L59_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L45_); trivial. % 0.97/1.15 apply (zenon_L164_); trivial. % 0.97/1.15 (* end of lemma zenon_L165_ *) % 0.97/1.15 assert (zenon_L166_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H1e8 zenon_Hea zenon_H1ab zenon_H13 zenon_H3 zenon_Hd1 zenon_Hd3 zenon_H83 zenon_Hf9 zenon_H38 zenon_H1d4 zenon_H72 zenon_H74 zenon_H73 zenon_Hdc zenon_Hde zenon_H19b zenon_H19a zenon_H199 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H1d6 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1c5 zenon_Hd zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 0.97/1.15 apply (zenon_L162_); trivial. % 0.97/1.15 apply (zenon_L165_); trivial. % 0.97/1.15 (* end of lemma zenon_L166_ *) % 0.97/1.15 assert (zenon_L167_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1da zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L132_); trivial. % 0.97/1.15 apply (zenon_L159_); trivial. % 0.97/1.15 (* end of lemma zenon_L167_ *) % 0.97/1.15 assert (zenon_L168_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.15 apply (zenon_L157_); trivial. % 0.97/1.15 apply (zenon_L167_); trivial. % 0.97/1.15 (* end of lemma zenon_L168_ *) % 0.97/1.15 assert (zenon_L169_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_He9 zenon_H81 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H199 zenon_H19a zenon_H19b zenon_H12a zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L35_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.15 apply (zenon_L113_); trivial. % 0.97/1.15 apply (zenon_L168_); trivial. % 0.97/1.15 (* end of lemma zenon_L169_ *) % 0.97/1.15 assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (~(hskp19)) -> False). % 0.97/1.15 do 0 intro. intros zenon_Ha3 zenon_H1d4 zenon_H19b zenon_H19a zenon_H199 zenon_H91. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H18. zenon_intro zenon_Ha5. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H9a. zenon_intro zenon_Ha6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ]. % 0.97/1.15 apply (zenon_L112_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H97 | zenon_intro zenon_H92 ]. % 0.97/1.15 apply (zenon_L32_); trivial. % 0.97/1.15 exact (zenon_H91 zenon_H92). % 0.97/1.15 (* end of lemma zenon_L170_ *) % 0.97/1.15 assert (zenon_L171_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp19)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Ha8 zenon_H1d4 zenon_H19b zenon_H19a zenon_H199 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H91 zenon_H93. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 0.97/1.15 apply (zenon_L31_); trivial. % 0.97/1.15 apply (zenon_L170_); trivial. % 0.97/1.15 (* end of lemma zenon_L171_ *) % 0.97/1.15 assert (zenon_L172_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_H1ab zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H1de zenon_H1dd zenon_H1dc zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 0.97/1.15 apply (zenon_L157_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L132_); trivial. % 0.97/1.15 apply (zenon_L164_); trivial. % 0.97/1.15 (* end of lemma zenon_L172_ *) % 0.97/1.15 assert (zenon_L173_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H6c zenon_H1e8 zenon_H1ab zenon_Hd1 zenon_H1d4 zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H93 zenon_H12a zenon_H19b zenon_H19a zenon_H199 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_H81 zenon_He9. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 0.97/1.15 apply (zenon_L169_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L171_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.15 apply (zenon_L113_); trivial. % 0.97/1.15 apply (zenon_L172_); trivial. % 0.97/1.15 (* end of lemma zenon_L173_ *) % 0.97/1.15 assert (zenon_L174_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> False). % 0.97/1.15 do 0 intro. intros zenon_Hc3 zenon_H18 zenon_H1e9 zenon_H1ea zenon_H1eb. % 0.97/1.15 generalize (zenon_Hc3 (a1545)). zenon_intro zenon_H1ec. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H17 | zenon_intro zenon_H1ed ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ee ]. % 0.97/1.15 exact (zenon_H1e9 zenon_H1ef). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f0 ]. % 0.97/1.15 exact (zenon_H1ea zenon_H1f1). % 0.97/1.15 exact (zenon_H1f0 zenon_H1eb). % 0.97/1.15 (* end of lemma zenon_L174_ *) % 0.97/1.15 assert (zenon_L175_ : ((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H37 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hb8 zenon_Hb9 zenon_Hba. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 0.97/1.15 apply (zenon_L11_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 0.97/1.15 apply (zenon_L174_); trivial. % 0.97/1.15 apply (zenon_L41_); trivial. % 0.97/1.15 (* end of lemma zenon_L175_ *) % 0.97/1.15 assert (zenon_L176_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H83 zenon_Hd3 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H11 zenon_H3 zenon_H13. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 0.97/1.15 apply (zenon_L9_); trivial. % 0.97/1.15 apply (zenon_L175_); trivial. % 0.97/1.15 (* end of lemma zenon_L176_ *) % 0.97/1.15 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Heb zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_H88 zenon_H89 zenon_H8a zenon_Hd zenon_H1ca zenon_H13 zenon_H3 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L176_); trivial. % 0.97/1.15 apply (zenon_L141_); trivial. % 0.97/1.15 (* end of lemma zenon_L177_ *) % 0.97/1.15 assert (zenon_L178_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 0.97/1.15 do 0 intro. intros zenon_He9 zenon_H82 zenon_Hd zenon_H1ca zenon_H13 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_He0 zenon_He2 zenon_He4. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L58_); trivial. % 0.97/1.15 apply (zenon_L177_); trivial. % 0.97/1.15 (* end of lemma zenon_L178_ *) % 0.97/1.15 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_Heb zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13 zenon_H3 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.15 apply (zenon_L176_); trivial. % 0.97/1.15 apply (zenon_L53_); trivial. % 0.97/1.15 (* end of lemma zenon_L179_ *) % 0.97/1.15 assert (zenon_L180_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H6c zenon_He9 zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13 zenon_H3 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L35_); trivial. % 0.97/1.15 apply (zenon_L179_); trivial. % 0.97/1.15 (* end of lemma zenon_L180_ *) % 0.97/1.15 assert (zenon_L181_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H84 zenon_Hdc zenon_Hde zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8 zenon_He4 zenon_He2 zenon_He0 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H3 zenon_Hf7 zenon_H83 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H13 zenon_H1ca zenon_H82 zenon_He9. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.15 apply (zenon_L178_); trivial. % 0.97/1.15 apply (zenon_L180_); trivial. % 0.97/1.15 (* end of lemma zenon_L181_ *) % 0.97/1.15 assert (zenon_L182_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 0.97/1.15 do 0 intro. intros zenon_He9 zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 0.97/1.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.15 apply (zenon_L63_); trivial. % 0.97/1.15 apply (zenon_L179_); trivial. % 0.97/1.15 (* end of lemma zenon_L182_ *) % 0.97/1.15 assert (zenon_L183_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H84 zenon_H196 zenon_H133 zenon_H147 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hd1 zenon_H13d zenon_Hfd zenon_H3 zenon_Hf7 zenon_H83 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H13 zenon_Hde zenon_Hdc zenon_He0 zenon_He2 zenon_He4 zenon_H82 zenon_He9 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.15 apply (zenon_L29_); trivial. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 0.97/1.15 apply (zenon_L182_); trivial. % 0.97/1.15 apply (zenon_L87_); trivial. % 0.97/1.15 (* end of lemma zenon_L183_ *) % 0.97/1.15 assert (zenon_L184_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 0.97/1.15 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H191 zenon_H170 zenon_H16c zenon_H18c zenon_H158 zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_He9 zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83 zenon_Hf7 zenon_H3 zenon_Hfd zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H147 zenon_H133 zenon_H196 zenon_H84. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 0.97/1.15 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.15 apply (zenon_L183_); trivial. % 0.97/1.15 apply (zenon_L110_); trivial. % 0.97/1.15 (* end of lemma zenon_L184_ *) % 0.97/1.15 assert (zenon_L185_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (c2_1 (a1545)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H58 zenon_H18 zenon_H1e9 zenon_H15a zenon_H1eb. % 0.97/1.15 generalize (zenon_H58 (a1545)). zenon_intro zenon_H1f2. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1f2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1f3 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f4 ]. % 0.97/1.15 exact (zenon_H1e9 zenon_H1ef). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f0 ]. % 0.97/1.15 generalize (zenon_H15a (a1545)). zenon_intro zenon_H1f6. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_H17 | zenon_intro zenon_H1f7 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f8 ]. % 0.97/1.15 exact (zenon_H1e9 zenon_H1ef). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f0 ]. % 0.97/1.15 exact (zenon_H1f5 zenon_H1f9). % 0.97/1.15 exact (zenon_H1f0 zenon_H1eb). % 0.97/1.15 exact (zenon_H1f0 zenon_H1eb). % 0.97/1.15 (* end of lemma zenon_L185_ *) % 0.97/1.15 assert (zenon_L186_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (~(c1_1 (a1581))) -> (c2_1 (a1581)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H15a zenon_H18 zenon_Hc1 zenon_Hc2 zenon_Hc5. % 0.97/1.15 generalize (zenon_H15a (a1581)). zenon_intro zenon_H1fa. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1fa); [ zenon_intro zenon_H17 | zenon_intro zenon_H1fb ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1fc ]. % 0.97/1.15 generalize (zenon_Hc1 (a1581)). zenon_intro zenon_Hc6. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_Hc6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc7 ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc8 ]. % 0.97/1.15 exact (zenon_Hc2 zenon_Hc9). % 0.97/1.15 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.97/1.15 exact (zenon_Hcb zenon_Hcf). % 0.97/1.15 exact (zenon_Hca zenon_Hc5). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hca ]. % 0.97/1.15 exact (zenon_Hc2 zenon_Hc9). % 0.97/1.15 exact (zenon_Hca zenon_Hc5). % 0.97/1.15 (* end of lemma zenon_L186_ *) % 0.97/1.15 assert (zenon_L187_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (c2_1 (a1581)) -> (~(c1_1 (a1581))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(hskp2)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H12f zenon_H1eb zenon_H1e9 zenon_Hc5 zenon_Hc2 zenon_H18 zenon_H15a zenon_H12c. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H58 | zenon_intro zenon_H132 ]. % 0.97/1.15 apply (zenon_L185_); trivial. % 0.97/1.15 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12d ]. % 0.97/1.15 apply (zenon_L186_); trivial. % 0.97/1.15 exact (zenon_H12c zenon_H12d). % 0.97/1.15 (* end of lemma zenon_L187_ *) % 0.97/1.15 assert (zenon_L188_ : (forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55)))))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1558)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H62 zenon_H18 zenon_H72 zenon_H48 zenon_H74. % 0.97/1.15 generalize (zenon_H62 (a1558)). zenon_intro zenon_H1fd. % 0.97/1.15 apply (zenon_imply_s _ _ zenon_H1fd); [ zenon_intro zenon_H17 | zenon_intro zenon_H1fe ]. % 0.97/1.15 exact (zenon_H17 zenon_H18). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H78 | zenon_intro zenon_H1ff ]. % 0.97/1.15 exact (zenon_H72 zenon_H78). % 0.97/1.15 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H164 | zenon_intro zenon_H79 ]. % 0.97/1.15 apply (zenon_L96_); trivial. % 0.97/1.15 exact (zenon_H79 zenon_H74). % 0.97/1.15 (* end of lemma zenon_L188_ *) % 0.97/1.15 assert (zenon_L189_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp2)) -> (~(c1_1 (a1581))) -> (c2_1 (a1581)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp31)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp28)) -> False). % 0.97/1.15 do 0 intro. intros zenon_H170 zenon_H12c zenon_Hc2 zenon_Hc5 zenon_H1e9 zenon_H1eb zenon_H12f zenon_Hfb zenon_H18 zenon_H72 zenon_H74 zenon_H13d zenon_H8a zenon_H89 zenon_H88 zenon_H10b zenon_H3 zenon_Hfd zenon_H16e. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 0.97/1.16 apply (zenon_L187_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 0.97/1.16 apply (zenon_L143_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 0.97/1.16 apply (zenon_L188_); trivial. % 0.97/1.16 exact (zenon_Hfb zenon_Hfc). % 0.97/1.16 exact (zenon_H16e zenon_H16f). % 0.97/1.16 (* end of lemma zenon_L189_ *) % 0.97/1.16 assert (zenon_L190_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H19 zenon_H174 zenon_H173 zenon_H172 zenon_H18 zenon_H11. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 0.97/1.16 apply (zenon_L146_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 0.97/1.16 apply (zenon_L130_); trivial. % 0.97/1.16 exact (zenon_H11 zenon_H12). % 0.97/1.16 (* end of lemma zenon_L190_ *) % 0.97/1.16 assert (zenon_L191_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp23)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H189 zenon_Hd3 zenon_H11 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hb8 zenon_Hb9 zenon_Hba. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 0.97/1.16 apply (zenon_L190_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 0.97/1.16 apply (zenon_L174_); trivial. % 0.97/1.16 apply (zenon_L41_); trivial. % 0.97/1.16 (* end of lemma zenon_L191_ *) % 0.97/1.16 assert (zenon_L192_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c1_1 (a1581))) -> (c2_1 (a1581)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H18c zenon_H170 zenon_H13d zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H74 zenon_Hfb zenon_Hfd zenon_H18 zenon_H1e9 zenon_H1eb zenon_Hc2 zenon_Hc5 zenon_H12c zenon_H12f zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H125 zenon_H11 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hb zenon_H65 zenon_H64 zenon_H63 zenon_Hd1 zenon_H1ea zenon_Hd3 zenon_H133. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 0.97/1.16 apply (zenon_L189_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 0.97/1.16 apply (zenon_L148_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 0.97/1.16 apply (zenon_L174_); trivial. % 0.97/1.16 apply (zenon_L41_); trivial. % 0.97/1.16 apply (zenon_L191_); trivial. % 0.97/1.16 (* end of lemma zenon_L192_ *) % 0.97/1.16 assert (zenon_L193_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 0.97/1.16 do 0 intro. intros zenon_He9 zenon_H81 zenon_H191 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H158 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H18c zenon_H170 zenon_H13d zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hd1 zenon_H1ea zenon_Hd3 zenon_H133 zenon_Hde zenon_Hdc zenon_H82 zenon_Hea zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 0.97/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.16 apply (zenon_L63_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.16 apply (zenon_L59_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.16 apply (zenon_L192_); trivial. % 0.97/1.16 apply (zenon_L151_); trivial. % 0.97/1.16 apply (zenon_L153_); trivial. % 0.97/1.16 (* end of lemma zenon_L193_ *) % 0.97/1.16 assert (zenon_L194_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp2)) -> (~(c1_1 (a1581))) -> (c2_1 (a1581)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H170 zenon_H12c zenon_Hc2 zenon_Hc5 zenon_H1e9 zenon_H1eb zenon_H12f zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H16e. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 0.97/1.16 apply (zenon_L187_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 0.97/1.16 apply (zenon_L19_); trivial. % 0.97/1.16 exact (zenon_H16e zenon_H16f). % 0.97/1.16 (* end of lemma zenon_L194_ *) % 0.97/1.16 assert (zenon_L195_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1581)) -> (~(c1_1 (a1581))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H12f zenon_H12c zenon_Hc5 zenon_Hc2 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.16 apply (zenon_L194_); trivial. % 0.97/1.16 apply (zenon_L131_); trivial. % 0.97/1.16 (* end of lemma zenon_L195_ *) % 0.97/1.16 assert (zenon_L196_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H85 zenon_Hea zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H170 zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.16 apply (zenon_L59_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.16 apply (zenon_L195_); trivial. % 0.97/1.16 apply (zenon_L53_); trivial. % 0.97/1.16 (* end of lemma zenon_L196_ *) % 0.97/1.16 assert (zenon_L197_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H195 zenon_H80 zenon_Hea zenon_H12f zenon_H12c zenon_Hf9 zenon_H158 zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1c5 zenon_H170 zenon_H1ca zenon_H191 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_He9 zenon_H82 zenon_He4 zenon_He2 zenon_He0 zenon_Hdc zenon_Hde zenon_H13 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83 zenon_Hf7 zenon_H3 zenon_Hfd zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H147 zenon_H133 zenon_H196 zenon_H84. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 0.97/1.16 apply (zenon_L183_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 0.97/1.16 apply (zenon_L142_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 0.97/1.16 apply (zenon_L193_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 0.97/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.16 apply (zenon_L58_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 0.97/1.16 apply (zenon_L86_); trivial. % 0.97/1.16 apply (zenon_L196_); trivial. % 0.97/1.16 (* end of lemma zenon_L197_ *) % 0.97/1.16 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H13 zenon_H3 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.16 apply (zenon_L176_); trivial. % 0.97/1.16 apply (zenon_L159_); trivial. % 0.97/1.16 (* end of lemma zenon_L198_ *) % 0.97/1.16 assert (zenon_L199_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_He9 zenon_H82 zenon_H1da zenon_H1d8 zenon_H13 zenon_H3 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H83 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H199 zenon_H19a zenon_H19b zenon_Hde zenon_Hdc zenon_H73 zenon_H74 zenon_H72 zenon_H1d4 zenon_H38. % 0.97/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.16 apply (zenon_L156_); trivial. % 0.97/1.16 apply (zenon_L198_); trivial. % 0.97/1.16 (* end of lemma zenon_L199_ *) % 0.97/1.16 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H7b zenon_H1e8 zenon_Hea zenon_H1ab zenon_Hd1 zenon_Hf9 zenon_H38 zenon_H1d4 zenon_Hdc zenon_Hde zenon_H19b zenon_H19a zenon_H199 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H83 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H3 zenon_H13 zenon_H1da zenon_H82 zenon_He9. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 0.97/1.16 apply (zenon_L199_); trivial. % 0.97/1.16 apply (zenon_L165_); trivial. % 0.97/1.16 (* end of lemma zenon_L200_ *) % 0.97/1.16 assert (zenon_L201_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp10)) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H1b8 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H13 zenon_H27 zenon_H25 zenon_H34 zenon_H38 zenon_H83 zenon_Hf zenon_H6d zenon_H84 zenon_H1 zenon_H3 zenon_H5. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 0.97/1.16 apply (zenon_L3_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.97/1.16 apply (zenon_L26_); trivial. % 0.97/1.16 (* end of lemma zenon_L201_ *) % 0.97/1.16 assert (zenon_L202_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_He6 zenon_H82 zenon_H1da zenon_H1d8 zenon_H13 zenon_H3 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_Hd3 zenon_H38 zenon_H83. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 0.97/1.16 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.97/1.16 apply (zenon_L45_); trivial. % 0.97/1.16 apply (zenon_L159_); trivial. % 0.97/1.16 (* end of lemma zenon_L202_ *) % 0.97/1.16 assert (zenon_L203_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H200 zenon_H18 zenon_H201 zenon_H202 zenon_H203. % 0.97/1.16 generalize (zenon_H200 (a1539)). zenon_intro zenon_H204. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H204); [ zenon_intro zenon_H17 | zenon_intro zenon_H205 ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ]. % 0.97/1.16 exact (zenon_H201 zenon_H207). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ]. % 0.97/1.16 exact (zenon_H209 zenon_H202). % 0.97/1.16 exact (zenon_H208 zenon_H203). % 0.97/1.16 (* end of lemma zenon_L203_ *) % 0.97/1.16 assert (zenon_L204_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp28)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H20a zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_He2 zenon_H16e. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H200 | zenon_intro zenon_H20b ]. % 0.97/1.16 apply (zenon_L203_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_He3 | zenon_intro zenon_H16f ]. % 0.97/1.16 exact (zenon_He2 zenon_He3). % 0.97/1.16 exact (zenon_H16e zenon_H16f). % 0.97/1.16 (* end of lemma zenon_L204_ *) % 0.97/1.16 assert (zenon_L205_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a1573))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (c0_1 (a1573)) -> False). % 0.97/1.16 do 0 intro. intros zenon_Hd5 zenon_H18 zenon_Hb8 zenon_Hc1 zenon_Hba. % 0.97/1.16 generalize (zenon_Hd5 (a1573)). zenon_intro zenon_H20c. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_H17 | zenon_intro zenon_H20d ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Hbe | zenon_intro zenon_H20e ]. % 0.97/1.16 exact (zenon_Hb8 zenon_Hbe). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H20f | zenon_intro zenon_Hbf ]. % 0.97/1.16 generalize (zenon_Hc1 (a1573)). zenon_intro zenon_H210. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H210); [ zenon_intro zenon_H17 | zenon_intro zenon_H211 ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hbe | zenon_intro zenon_H212 ]. % 0.97/1.16 exact (zenon_Hb8 zenon_Hbe). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_Hbf | zenon_intro zenon_H213 ]. % 0.97/1.16 exact (zenon_Hbf zenon_Hba). % 0.97/1.16 exact (zenon_H213 zenon_H20f). % 0.97/1.16 exact (zenon_Hbf zenon_Hba). % 0.97/1.16 (* end of lemma zenon_L205_ *) % 0.97/1.16 assert (zenon_L206_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> (~(c1_1 (a1573))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 0.97/1.16 do 0 intro. intros zenon_Hd1 zenon_Hb9 zenon_Hba zenon_Hb8 zenon_Hd5 zenon_H18 zenon_H58 zenon_H172 zenon_H173 zenon_H174. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.97/1.16 apply (zenon_L41_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 0.97/1.16 apply (zenon_L205_); trivial. % 0.97/1.16 apply (zenon_L101_); trivial. % 0.97/1.16 (* end of lemma zenon_L206_ *) % 0.97/1.16 assert (zenon_L207_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1539))) -> (c3_1 (a1539)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H214 zenon_H18 zenon_H201 zenon_H215 zenon_H203. % 0.97/1.16 generalize (zenon_H214 (a1539)). zenon_intro zenon_H216. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_H17 | zenon_intro zenon_H217 ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H218 ]. % 0.97/1.16 exact (zenon_H201 zenon_H207). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H219 | zenon_intro zenon_H208 ]. % 0.97/1.16 exact (zenon_H215 zenon_H219). % 0.97/1.16 exact (zenon_H208 zenon_H203). % 0.97/1.16 (* end of lemma zenon_L207_ *) % 0.97/1.16 assert (zenon_L208_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c3_1 (a1539)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H13f zenon_H18 zenon_H201 zenon_H214 zenon_H203. % 0.97/1.16 generalize (zenon_H13f (a1539)). zenon_intro zenon_H21a. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H17 | zenon_intro zenon_H21b ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H207 | zenon_intro zenon_H21c ]. % 0.97/1.16 exact (zenon_H201 zenon_H207). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H215 | zenon_intro zenon_H208 ]. % 0.97/1.16 apply (zenon_L207_); trivial. % 0.97/1.16 exact (zenon_H208 zenon_H203). % 0.97/1.16 (* end of lemma zenon_L208_ *) % 0.97/1.16 assert (zenon_L209_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(c1_1 (a1573))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H147 zenon_H174 zenon_H173 zenon_H172 zenon_Hd5 zenon_Hb8 zenon_Hba zenon_Hb9 zenon_Hd1 zenon_H203 zenon_H214 zenon_H201 zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 0.97/1.16 apply (zenon_L206_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 0.97/1.16 apply (zenon_L208_); trivial. % 0.97/1.16 apply (zenon_L27_); trivial. % 0.97/1.16 (* end of lemma zenon_L209_ *) % 0.97/1.16 assert (zenon_L210_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c0_1 (a1573)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (~(c1_1 (a1573))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp1)) -> False). % 0.97/1.16 do 0 intro. intros zenon_He4 zenon_Hba zenon_Hc1 zenon_Hb8 zenon_H18 zenon_He0 zenon_He2. % 0.97/1.16 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He5 ]. % 0.97/1.16 apply (zenon_L205_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He1 | zenon_intro zenon_He3 ]. % 0.97/1.16 exact (zenon_He0 zenon_He1). % 0.97/1.16 exact (zenon_He2 zenon_He3). % 0.97/1.16 (* end of lemma zenon_L210_ *) % 0.97/1.16 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1573))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c0_1 (a1573)) -> (~(c1_1 (a1573))) -> (~(hskp11)) -> (~(hskp1)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H189 zenon_H1ab zenon_H1de zenon_H1dd zenon_H1dc zenon_H147 zenon_Hb9 zenon_Hd1 zenon_H203 zenon_H201 zenon_H88 zenon_H89 zenon_H8a zenon_H21d zenon_He4 zenon_Hba zenon_Hb8 zenon_He0 zenon_He2. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 0.97/1.16 apply (zenon_L163_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H214 | zenon_intro zenon_H21e ]. % 0.97/1.16 apply (zenon_L209_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hab | zenon_intro zenon_He1 ]. % 0.97/1.16 apply (zenon_L130_); trivial. % 0.97/1.16 exact (zenon_He0 zenon_He1). % 0.97/1.16 apply (zenon_L210_); trivial. % 0.97/1.16 (* end of lemma zenon_L211_ *) % 0.97/1.16 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 0.97/1.16 do 0 intro. intros zenon_Heb zenon_H18c zenon_H1ab zenon_He4 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_He0 zenon_H21d zenon_H1de zenon_H1dd zenon_H1dc zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.16 apply (zenon_L204_); trivial. % 0.97/1.16 apply (zenon_L211_); trivial. % 0.97/1.16 (* end of lemma zenon_L212_ *) % 0.97/1.16 assert (zenon_L213_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H1e5 zenon_He9 zenon_H18c zenon_H1ab zenon_He4 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_He0 zenon_H21d zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 0.97/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.16 apply (zenon_L35_); trivial. % 0.97/1.16 apply (zenon_L212_); trivial. % 0.97/1.16 (* end of lemma zenon_L213_ *) % 0.97/1.16 assert (zenon_L214_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp18)) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_Hea zenon_H151 zenon_H14f zenon_H25 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_Hb5 zenon_H9 zenon_H53 zenon_H38. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 0.97/1.16 apply (zenon_L40_); trivial. % 0.97/1.16 apply (zenon_L90_); trivial. % 0.97/1.16 (* end of lemma zenon_L214_ *) % 0.97/1.16 assert (zenon_L215_ : (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1566)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H3c zenon_H18 zenon_H134 zenon_H1a2 zenon_H136. % 0.97/1.16 generalize (zenon_H3c (a1566)). zenon_intro zenon_H21f. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_H17 | zenon_intro zenon_H220 ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H13a | zenon_intro zenon_H221 ]. % 0.97/1.16 exact (zenon_H134 zenon_H13a). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H146 | zenon_intro zenon_H13b ]. % 0.97/1.16 generalize (zenon_H1a2 (a1566)). zenon_intro zenon_H222. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H17 | zenon_intro zenon_H223 ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H142 | zenon_intro zenon_H224 ]. % 0.97/1.16 exact (zenon_H146 zenon_H142). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H13a | zenon_intro zenon_H13b ]. % 0.97/1.16 exact (zenon_H134 zenon_H13a). % 0.97/1.16 exact (zenon_H13b zenon_H136). % 0.97/1.16 exact (zenon_H13b zenon_H136). % 0.97/1.16 (* end of lemma zenon_L215_ *) % 0.97/1.16 assert (zenon_L216_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1566)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H147 zenon_H182 zenon_H181 zenon_H180 zenon_H18 zenon_H134 zenon_H1a2 zenon_H136. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 0.97/1.16 apply (zenon_L116_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 0.97/1.16 apply (zenon_L103_); trivial. % 0.97/1.16 apply (zenon_L215_); trivial. % 0.97/1.16 (* end of lemma zenon_L216_ *) % 0.97/1.16 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c1_1 (a1566))) -> (c3_1 (a1566)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 0.97/1.16 do 0 intro. intros zenon_Heb zenon_H18c zenon_H1ab zenon_He0 zenon_He4 zenon_Hd1 zenon_H88 zenon_H89 zenon_H8a zenon_H180 zenon_H182 zenon_H181 zenon_H134 zenon_H136 zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 0.97/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.16 apply (zenon_L204_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 0.97/1.16 apply (zenon_L216_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 0.97/1.16 apply (zenon_L206_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 0.97/1.16 apply (zenon_L103_); trivial. % 0.97/1.16 apply (zenon_L27_); trivial. % 0.97/1.16 apply (zenon_L210_); trivial. % 0.97/1.16 (* end of lemma zenon_L217_ *) % 0.97/1.16 assert (zenon_L218_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c1_1 (a1566))) -> (c3_1 (a1566)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H190 zenon_He9 zenon_H18c zenon_H1ab zenon_He0 zenon_He4 zenon_Hd1 zenon_H88 zenon_H89 zenon_H8a zenon_H134 zenon_H136 zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 0.97/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 0.97/1.16 apply (zenon_L35_); trivial. % 0.97/1.16 apply (zenon_L217_); trivial. % 0.97/1.16 (* end of lemma zenon_L218_ *) % 0.97/1.16 assert (zenon_L219_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H149 zenon_H194 zenon_He9 zenon_H18c zenon_H1ab zenon_He0 zenon_He4 zenon_Hd1 zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_Ha4 zenon_Ha8 zenon_H38 zenon_H53 zenon_H9 zenon_Hb5 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 0.97/1.16 apply (zenon_L214_); trivial. % 0.97/1.16 apply (zenon_L218_); trivial. % 0.97/1.16 (* end of lemma zenon_L219_ *) % 0.97/1.16 assert (zenon_L220_ : (~(hskp29)) -> (hskp29) -> False). % 0.97/1.16 do 0 intro. intros zenon_H225 zenon_H226. % 0.97/1.16 exact (zenon_H225 zenon_H226). % 0.97/1.16 (* end of lemma zenon_L220_ *) % 0.97/1.16 assert (zenon_L221_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a1544)) -> (c1_1 (a1544)) -> (c2_1 (a1544)) -> False). % 0.97/1.16 do 0 intro. intros zenon_Hff zenon_H18 zenon_H227 zenon_H228 zenon_H229. % 0.97/1.16 generalize (zenon_Hff (a1544)). zenon_intro zenon_H22a. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H17 | zenon_intro zenon_H22b ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 0.97/1.16 exact (zenon_H22d zenon_H227). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.97/1.16 exact (zenon_H22f zenon_H228). % 0.97/1.16 exact (zenon_H22e zenon_H229). % 0.97/1.16 (* end of lemma zenon_L221_ *) % 0.97/1.16 assert (zenon_L222_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (c2_1 (a1544)) -> (c1_1 (a1544)) -> (c0_1 (a1544)) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_H97 zenon_H229 zenon_H228 zenon_H227 zenon_H18 zenon_H172 zenon_H173 zenon_H174. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 0.97/1.16 apply (zenon_L97_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 0.97/1.16 apply (zenon_L221_); trivial. % 0.97/1.16 apply (zenon_L130_); trivial. % 0.97/1.16 (* end of lemma zenon_L222_ *) % 0.97/1.16 assert (zenon_L223_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H232 zenon_Ha4 zenon_H174 zenon_H173 zenon_H172 zenon_H72 zenon_H74 zenon_H73 zenon_H230 zenon_H91 zenon_Ha1. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha7 ]. % 0.97/1.16 apply (zenon_L222_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha2 ]. % 0.97/1.16 exact (zenon_H91 zenon_H92). % 0.97/1.16 exact (zenon_Ha1 zenon_Ha2). % 0.97/1.16 (* end of lemma zenon_L223_ *) % 0.97/1.16 assert (zenon_L224_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a1612))) -> (~(c2_1 (a1612))) -> (c3_1 (a1612)) -> False). % 0.97/1.16 do 0 intro. intros zenon_H214 zenon_H18 zenon_H235 zenon_H236 zenon_H237. % 0.97/1.16 generalize (zenon_H214 (a1612)). zenon_intro zenon_H238. % 0.97/1.16 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H17 | zenon_intro zenon_H239 ]. % 0.97/1.16 exact (zenon_H17 zenon_H18). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 0.97/1.16 exact (zenon_H235 zenon_H23b). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23d | zenon_intro zenon_H23c ]. % 0.97/1.16 exact (zenon_H236 zenon_H23d). % 0.97/1.16 exact (zenon_H23c zenon_H237). % 0.97/1.16 (* end of lemma zenon_L224_ *) % 0.97/1.16 assert (zenon_L225_ : ((~(hskp25))\/((ndr1_0)/\((c3_1 (a1612))/\((~(c0_1 (a1612)))/\(~(c2_1 (a1612))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(hskp3))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> ((hskp29)\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 0.97/1.16 do 0 intro. intros zenon_H23e zenon_H23f zenon_H88 zenon_H89 zenon_H8a zenon_H3 zenon_Hf7 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H240 zenon_H91 zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_Ha1 zenon_Ha4 zenon_H241 zenon_H18c. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ]. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 0.97/1.16 apply (zenon_L204_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H226 | zenon_intro zenon_H244 ]. % 0.97/1.16 exact (zenon_H225 zenon_H226). % 0.97/1.16 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H92 | zenon_intro zenon_H245 ]. % 0.97/1.16 exact (zenon_H91 zenon_H92). % 0.97/1.16 exact (zenon_H243 zenon_H245). % 0.97/1.16 apply (zenon_L223_); trivial. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H18. zenon_intro zenon_H246. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H237. zenon_intro zenon_H247. % 0.97/1.16 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H235. zenon_intro zenon_H236. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H214 | zenon_intro zenon_H248 ]. % 0.97/1.16 apply (zenon_L224_); trivial. % 0.97/1.16 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H4 ]. % 1.00/1.16 apply (zenon_L57_); trivial. % 1.00/1.16 exact (zenon_H3 zenon_H4). % 1.00/1.16 (* end of lemma zenon_L225_ *) % 1.00/1.16 assert (zenon_L226_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1e5 zenon_He9 zenon_H18c zenon_H1ab zenon_H147 zenon_Hd1 zenon_H21d zenon_H201 zenon_H202 zenon_H203 zenon_H20a zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_He0 zenon_He2 zenon_He4. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L58_); trivial. % 1.00/1.16 apply (zenon_L212_); trivial. % 1.00/1.16 (* end of lemma zenon_L226_ *) % 1.00/1.16 assert (zenon_L227_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H133 zenon_H12f zenon_H12c zenon_H9 zenon_H6d zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H125 zenon_H11 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hb zenon_Hd1 zenon_H13d zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.16 apply (zenon_L144_); trivial. % 1.00/1.16 apply (zenon_L77_); trivial. % 1.00/1.16 (* end of lemma zenon_L227_ *) % 1.00/1.16 assert (zenon_L228_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (c1_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> False). % 1.00/1.16 do 0 intro. intros zenon_Hab zenon_H18 zenon_H202 zenon_H214 zenon_H201 zenon_H203. % 1.00/1.16 generalize (zenon_Hab (a1539)). zenon_intro zenon_H249. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H17 | zenon_intro zenon_H24a ]. % 1.00/1.16 exact (zenon_H17 zenon_H18). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21c ]. % 1.00/1.16 exact (zenon_H209 zenon_H202). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H215 | zenon_intro zenon_H208 ]. % 1.00/1.16 apply (zenon_L207_); trivial. % 1.00/1.16 exact (zenon_H208 zenon_H203). % 1.00/1.16 (* end of lemma zenon_L228_ *) % 1.00/1.16 assert (zenon_L229_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c1_1 (a1539)) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> (~(hskp1)) -> False). % 1.00/1.16 do 0 intro. intros zenon_He4 zenon_H203 zenon_H201 zenon_H214 zenon_H202 zenon_H18 zenon_H58 zenon_H100 zenon_H101 zenon_H56 zenon_H3d zenon_H3b zenon_H230 zenon_He0 zenon_He2. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He5 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.00/1.16 apply (zenon_L47_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.00/1.16 apply (zenon_L64_); trivial. % 1.00/1.16 apply (zenon_L228_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He1 | zenon_intro zenon_He3 ]. % 1.00/1.16 exact (zenon_He0 zenon_He1). % 1.00/1.16 exact (zenon_He2 zenon_He3). % 1.00/1.16 (* end of lemma zenon_L229_ *) % 1.00/1.16 assert (zenon_L230_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H13f zenon_H18 zenon_H201 zenon_H24b zenon_H202 zenon_H203. % 1.00/1.16 generalize (zenon_H13f (a1539)). zenon_intro zenon_H21a. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H17 | zenon_intro zenon_H21b ]. % 1.00/1.16 exact (zenon_H17 zenon_H18). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H207 | zenon_intro zenon_H21c ]. % 1.00/1.16 exact (zenon_H201 zenon_H207). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H215 | zenon_intro zenon_H208 ]. % 1.00/1.16 generalize (zenon_H24b (a1539)). zenon_intro zenon_H24c. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H17 | zenon_intro zenon_H24d ]. % 1.00/1.16 exact (zenon_H17 zenon_H18). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H207 | zenon_intro zenon_H24e ]. % 1.00/1.16 exact (zenon_H201 zenon_H207). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H219 | zenon_intro zenon_H209 ]. % 1.00/1.16 exact (zenon_H215 zenon_H219). % 1.00/1.16 exact (zenon_H209 zenon_H202). % 1.00/1.16 exact (zenon_H208 zenon_H203). % 1.00/1.16 (* end of lemma zenon_L230_ *) % 1.00/1.16 assert (zenon_L231_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H24f zenon_H202 zenon_H203 zenon_H201 zenon_H13f zenon_H18 zenon_H172 zenon_H173 zenon_H174. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.16 apply (zenon_L230_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.16 apply (zenon_L208_); trivial. % 1.00/1.16 apply (zenon_L130_); trivial. % 1.00/1.16 (* end of lemma zenon_L231_ *) % 1.00/1.16 assert (zenon_L232_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1593)) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H147 zenon_He2 zenon_He0 zenon_H230 zenon_H3b zenon_H3d zenon_H56 zenon_H101 zenon_H100 zenon_H214 zenon_He4 zenon_H174 zenon_H173 zenon_H172 zenon_H201 zenon_H203 zenon_H202 zenon_H24f zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.16 apply (zenon_L229_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.16 apply (zenon_L231_); trivial. % 1.00/1.16 apply (zenon_L27_); trivial. % 1.00/1.16 (* end of lemma zenon_L232_ *) % 1.00/1.16 assert (zenon_L233_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H52 zenon_H18c zenon_H21d zenon_He4 zenon_He0 zenon_H100 zenon_H101 zenon_H230 zenon_H24f zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.16 apply (zenon_L204_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H214 | zenon_intro zenon_H21e ]. % 1.00/1.16 apply (zenon_L232_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hab | zenon_intro zenon_He1 ]. % 1.00/1.16 apply (zenon_L130_); trivial. % 1.00/1.16 exact (zenon_He0 zenon_He1). % 1.00/1.16 (* end of lemma zenon_L233_ *) % 1.00/1.16 assert (zenon_L234_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (c1_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H230 zenon_H4b zenon_H4a zenon_H49 zenon_H101 zenon_H100 zenon_H58 zenon_H18 zenon_H202 zenon_H214 zenon_H201 zenon_H203. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.00/1.16 apply (zenon_L19_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.00/1.16 apply (zenon_L64_); trivial. % 1.00/1.16 apply (zenon_L228_); trivial. % 1.00/1.16 (* end of lemma zenon_L234_ *) % 1.00/1.16 assert (zenon_L235_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H147 zenon_H214 zenon_H100 zenon_H101 zenon_H49 zenon_H4a zenon_H4b zenon_H230 zenon_H174 zenon_H173 zenon_H172 zenon_H201 zenon_H203 zenon_H202 zenon_H24f zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.16 apply (zenon_L234_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.16 apply (zenon_L231_); trivial. % 1.00/1.16 apply (zenon_L27_); trivial. % 1.00/1.16 (* end of lemma zenon_L235_ *) % 1.00/1.16 assert (zenon_L236_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H85 zenon_H18c zenon_H21d zenon_He0 zenon_H230 zenon_H101 zenon_H100 zenon_H24f zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.16 apply (zenon_L204_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H214 | zenon_intro zenon_H21e ]. % 1.00/1.16 apply (zenon_L235_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hab | zenon_intro zenon_He1 ]. % 1.00/1.16 apply (zenon_L130_); trivial. % 1.00/1.16 exact (zenon_He0 zenon_He1). % 1.00/1.16 (* end of lemma zenon_L236_ *) % 1.00/1.16 assert (zenon_L237_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H149 zenon_He9 zenon_H81 zenon_H133 zenon_H147 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_Hd1 zenon_H13d zenon_H20a zenon_H203 zenon_H202 zenon_H201 zenon_H24f zenon_H230 zenon_H21d zenon_H18c zenon_H82 zenon_Hf7 zenon_H3 zenon_H8a zenon_H89 zenon_H88 zenon_He0 zenon_He2 zenon_He4. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L58_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.16 apply (zenon_L85_); trivial. % 1.00/1.16 apply (zenon_L233_); trivial. % 1.00/1.16 apply (zenon_L236_); trivial. % 1.00/1.16 (* end of lemma zenon_L237_ *) % 1.00/1.16 assert (zenon_L238_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H251 zenon_H1c zenon_H1b zenon_H1a zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H225. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.00/1.16 apply (zenon_L11_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H200 | zenon_intro zenon_H226 ]. % 1.00/1.16 apply (zenon_L203_); trivial. % 1.00/1.16 exact (zenon_H225 zenon_H226). % 1.00/1.16 (* end of lemma zenon_L238_ *) % 1.00/1.16 assert (zenon_L239_ : ((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H37 zenon_H18c zenon_H241 zenon_H230 zenon_H201 zenon_H202 zenon_H203 zenon_H251 zenon_H15b zenon_H15c zenon_H15d zenon_H16c zenon_H73 zenon_H74 zenon_H72 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.16 apply (zenon_L100_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.00/1.16 apply (zenon_L238_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.00/1.16 apply (zenon_L11_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.00/1.16 apply (zenon_L41_); trivial. % 1.00/1.16 apply (zenon_L222_); trivial. % 1.00/1.16 (* end of lemma zenon_L239_ *) % 1.00/1.16 assert (zenon_L240_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H83 zenon_H18c zenon_H241 zenon_H230 zenon_H201 zenon_H202 zenon_H203 zenon_H251 zenon_H15b zenon_H15c zenon_H15d zenon_H16c zenon_H73 zenon_H74 zenon_H72 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170 zenon_H11 zenon_H3 zenon_H13. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 1.00/1.16 apply (zenon_L9_); trivial. % 1.00/1.16 apply (zenon_L239_); trivial. % 1.00/1.16 (* end of lemma zenon_L240_ *) % 1.00/1.16 assert (zenon_L241_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H195 zenon_H80 zenon_H191 zenon_H13 zenon_H170 zenon_H16c zenon_H251 zenon_H241 zenon_H83 zenon_H158 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_He9 zenon_H133 zenon_H12f zenon_H12c zenon_H6d zenon_H125 zenon_H12a zenon_Hd1 zenon_H13d zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H147 zenon_H24f zenon_H230 zenon_He0 zenon_He4 zenon_H21d zenon_H18c zenon_H82 zenon_Hf7 zenon_H3 zenon_Hfd zenon_H196 zenon_H84. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.16 apply (zenon_L29_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L63_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.16 apply (zenon_L227_); trivial. % 1.00/1.16 apply (zenon_L233_); trivial. % 1.00/1.16 apply (zenon_L28_); trivial. % 1.00/1.16 apply (zenon_L237_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L58_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.16 apply (zenon_L94_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.16 apply (zenon_L240_); trivial. % 1.00/1.16 apply (zenon_L233_); trivial. % 1.00/1.16 (* end of lemma zenon_L241_ *) % 1.00/1.16 assert (zenon_L242_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.16 apply (zenon_L204_); trivial. % 1.00/1.16 apply (zenon_L131_); trivial. % 1.00/1.16 (* end of lemma zenon_L242_ *) % 1.00/1.16 assert (zenon_L243_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H81 zenon_H82 zenon_H53 zenon_H1 zenon_H34 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H9 zenon_Hd zenon_Hf. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.16 apply (zenon_L7_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.16 apply (zenon_L242_); trivial. % 1.00/1.16 apply (zenon_L20_); trivial. % 1.00/1.16 (* end of lemma zenon_L243_ *) % 1.00/1.16 assert (zenon_L244_ : ((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1b5 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H1 zenon_H34 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_Hf zenon_H6d zenon_H84. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.16 apply (zenon_L243_); trivial. % 1.00/1.16 apply (zenon_L23_); trivial. % 1.00/1.16 apply (zenon_L25_); trivial. % 1.00/1.16 (* end of lemma zenon_L244_ *) % 1.00/1.16 assert (zenon_L245_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp10)) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1b8 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H34 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_Hf zenon_H6d zenon_H84 zenon_H1 zenon_H3 zenon_H5. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 1.00/1.16 apply (zenon_L3_); trivial. % 1.00/1.16 apply (zenon_L244_); trivial. % 1.00/1.16 (* end of lemma zenon_L245_ *) % 1.00/1.16 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.16 apply (zenon_L242_); trivial. % 1.00/1.16 apply (zenon_L159_); trivial. % 1.00/1.16 (* end of lemma zenon_L246_ *) % 1.00/1.16 assert (zenon_L247_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_He9 zenon_H82 zenon_H1da zenon_H1d8 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L35_); trivial. % 1.00/1.16 apply (zenon_L246_); trivial. % 1.00/1.16 (* end of lemma zenon_L247_ *) % 1.00/1.16 assert (zenon_L248_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H6c zenon_H1e8 zenon_H1ab zenon_He4 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_He0 zenon_H21d zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H93 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H1da zenon_H82 zenon_He9. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.16 apply (zenon_L247_); trivial. % 1.00/1.16 apply (zenon_L213_); trivial. % 1.00/1.16 (* end of lemma zenon_L248_ *) % 1.00/1.16 assert (zenon_L249_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H48 zenon_H18 zenon_H215 zenon_H202 zenon_H203. % 1.00/1.16 generalize (zenon_H48 (a1539)). zenon_intro zenon_H253. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_H17 | zenon_intro zenon_H254 ]. % 1.00/1.16 exact (zenon_H17 zenon_H18). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H219 | zenon_intro zenon_H206 ]. % 1.00/1.16 exact (zenon_H215 zenon_H219). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ]. % 1.00/1.16 exact (zenon_H209 zenon_H202). % 1.00/1.16 exact (zenon_H208 zenon_H203). % 1.00/1.16 (* end of lemma zenon_L249_ *) % 1.00/1.16 assert (zenon_L250_ : (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (c1_1 (a1539)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c3_1 (a1539)) -> False). % 1.00/1.16 do 0 intro. intros zenon_Hab zenon_H18 zenon_H202 zenon_H48 zenon_H203. % 1.00/1.16 generalize (zenon_Hab (a1539)). zenon_intro zenon_H249. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H17 | zenon_intro zenon_H24a ]. % 1.00/1.16 exact (zenon_H17 zenon_H18). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21c ]. % 1.00/1.16 exact (zenon_H209 zenon_H202). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H215 | zenon_intro zenon_H208 ]. % 1.00/1.16 apply (zenon_L249_); trivial. % 1.00/1.16 exact (zenon_H208 zenon_H203). % 1.00/1.16 (* end of lemma zenon_L250_ *) % 1.00/1.16 assert (zenon_L251_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (c3_1 (a1539)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1539)) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H203 zenon_H48 zenon_H202 zenon_H18 zenon_H11. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 1.00/1.16 apply (zenon_L129_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 1.00/1.16 apply (zenon_L250_); trivial. % 1.00/1.16 exact (zenon_H11 zenon_H12). % 1.00/1.16 (* end of lemma zenon_L251_ *) % 1.00/1.16 assert (zenon_L252_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H18c zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H125 zenon_H11 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.16 apply (zenon_L95_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.16 apply (zenon_L251_); trivial. % 1.00/1.16 exact (zenon_H16e zenon_H16f). % 1.00/1.16 apply (zenon_L131_); trivial. % 1.00/1.16 (* end of lemma zenon_L252_ *) % 1.00/1.16 assert (zenon_L253_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1e5 zenon_H191 zenon_H82 zenon_H1ab zenon_H88 zenon_H89 zenon_H8a zenon_Hd zenon_H1ca zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.16 apply (zenon_L157_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.16 apply (zenon_L252_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.16 apply (zenon_L163_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.16 apply (zenon_L140_); trivial. % 1.00/1.16 apply (zenon_L112_); trivial. % 1.00/1.16 (* end of lemma zenon_L253_ *) % 1.00/1.16 assert (zenon_L254_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H24b zenon_H18 zenon_H255 zenon_H256 zenon_H257. % 1.00/1.16 generalize (zenon_H24b (a1536)). zenon_intro zenon_H258. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_H17 | zenon_intro zenon_H259 ]. % 1.00/1.16 exact (zenon_H17 zenon_H18). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25b | zenon_intro zenon_H25a ]. % 1.00/1.16 exact (zenon_H255 zenon_H25b). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25d | zenon_intro zenon_H25c ]. % 1.00/1.16 exact (zenon_H256 zenon_H25d). % 1.00/1.16 exact (zenon_H25c zenon_H257). % 1.00/1.16 (* end of lemma zenon_L254_ *) % 1.00/1.16 assert (zenon_L255_ : (~(hskp4)) -> (hskp4) -> False). % 1.00/1.16 do 0 intro. intros zenon_H25e zenon_H25f. % 1.00/1.16 exact (zenon_H25e zenon_H25f). % 1.00/1.16 (* end of lemma zenon_L255_ *) % 1.00/1.16 assert (zenon_L256_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp4)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H18 zenon_H1 zenon_H25e. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24b | zenon_intro zenon_H261 ]. % 1.00/1.16 apply (zenon_L254_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H2 | zenon_intro zenon_H25f ]. % 1.00/1.16 exact (zenon_H1 zenon_H2). % 1.00/1.16 exact (zenon_H25e zenon_H25f). % 1.00/1.16 (* end of lemma zenon_L256_ *) % 1.00/1.16 assert (zenon_L257_ : (~(hskp9)) -> (hskp9) -> False). % 1.00/1.16 do 0 intro. intros zenon_H262 zenon_H263. % 1.00/1.16 exact (zenon_H262 zenon_H263). % 1.00/1.16 (* end of lemma zenon_L257_ *) % 1.00/1.16 assert (zenon_L258_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(hskp9)) -> False). % 1.00/1.16 do 0 intro. intros zenon_He6 zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H262. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.00/1.16 apply (zenon_L254_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.00/1.16 apply (zenon_L88_); trivial. % 1.00/1.16 exact (zenon_H262 zenon_H263). % 1.00/1.16 (* end of lemma zenon_L258_ *) % 1.00/1.16 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H7b zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_H88 zenon_H89 zenon_H8a zenon_Hf9. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.16 apply (zenon_L59_); trivial. % 1.00/1.16 apply (zenon_L258_); trivial. % 1.00/1.16 (* end of lemma zenon_L259_ *) % 1.00/1.16 assert (zenon_L260_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H80 zenon_Hf9 zenon_H38 zenon_H53 zenon_Hb5 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H255 zenon_H256 zenon_H257 zenon_H262 zenon_H264 zenon_Hea. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.16 apply (zenon_L40_); trivial. % 1.00/1.16 apply (zenon_L258_); trivial. % 1.00/1.16 apply (zenon_L259_); trivial. % 1.00/1.16 (* end of lemma zenon_L260_ *) % 1.00/1.16 assert (zenon_L261_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp23)) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1600)) -> (~(c3_1 (a1600))) -> (~(c2_1 (a1600))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1d4 zenon_H11 zenon_H117 zenon_H118 zenon_H119 zenon_H58 zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H9a zenon_H99 zenon_H98 zenon_H18 zenon_H91. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ]. % 1.00/1.16 apply (zenon_L71_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H97 | zenon_intro zenon_H92 ]. % 1.00/1.16 apply (zenon_L32_); trivial. % 1.00/1.16 exact (zenon_H91 zenon_H92). % 1.00/1.16 (* end of lemma zenon_L261_ *) % 1.00/1.16 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp19)) -> (~(c2_1 (a1600))) -> (~(c3_1 (a1600))) -> (c0_1 (a1600)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp14)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H12e zenon_H6d zenon_H91 zenon_H98 zenon_H99 zenon_H9a zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_H1d4 zenon_H65 zenon_H64 zenon_H63 zenon_H9. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 1.00/1.16 apply (zenon_L261_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 1.00/1.16 apply (zenon_L22_); trivial. % 1.00/1.16 exact (zenon_H9 zenon_Ha). % 1.00/1.16 (* end of lemma zenon_L262_ *) % 1.00/1.16 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a1556))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> False). % 1.00/1.16 do 0 intro. intros zenon_Ha3 zenon_H133 zenon_H125 zenon_H11 zenon_H112 zenon_H91 zenon_H1d4 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H18. zenon_intro zenon_Ha5. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H9a. zenon_intro zenon_Ha6. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.17 apply (zenon_L68_); trivial. % 1.00/1.17 apply (zenon_L262_); trivial. % 1.00/1.17 (* end of lemma zenon_L263_ *) % 1.00/1.17 assert (zenon_L264_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp19)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Ha8 zenon_H133 zenon_H125 zenon_H11 zenon_H112 zenon_H1d4 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H9 zenon_H6d zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H91 zenon_H93. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 1.00/1.17 apply (zenon_L31_); trivial. % 1.00/1.17 apply (zenon_L263_); trivial. % 1.00/1.17 (* end of lemma zenon_L264_ *) % 1.00/1.17 assert (zenon_L265_ : (forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57)))))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H71 zenon_H18 zenon_H63 zenon_H19 zenon_H64 zenon_H65. % 1.00/1.17 generalize (zenon_H71 (a1565)). zenon_intro zenon_H266. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H266); [ zenon_intro zenon_H17 | zenon_intro zenon_H267 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H69 | zenon_intro zenon_H1cf ]. % 1.00/1.17 exact (zenon_H63 zenon_H69). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6a ]. % 1.00/1.17 generalize (zenon_H19 (a1565)). zenon_intro zenon_H1d1. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H17 | zenon_intro zenon_H1d2 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1d3 ]. % 1.00/1.17 exact (zenon_H1d0 zenon_H1cc). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H69 | zenon_intro zenon_H6b ]. % 1.00/1.17 exact (zenon_H63 zenon_H69). % 1.00/1.17 exact (zenon_H64 zenon_H6b). % 1.00/1.17 exact (zenon_H6a zenon_H65). % 1.00/1.17 (* end of lemma zenon_L265_ *) % 1.00/1.17 assert (zenon_L266_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H65 zenon_H64 zenon_H19 zenon_H63 zenon_H18 zenon_Hb3. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfa ]. % 1.00/1.17 apply (zenon_L27_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H71 | zenon_intro zenon_Hb4 ]. % 1.00/1.17 apply (zenon_L265_); trivial. % 1.00/1.17 exact (zenon_Hb3 zenon_Hb4). % 1.00/1.17 (* end of lemma zenon_L266_ *) % 1.00/1.17 assert (zenon_L267_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a1573))) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38)))))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hd5 zenon_H18 zenon_Hb8 zenon_H14c zenon_Hb9 zenon_Hba. % 1.00/1.17 generalize (zenon_Hd5 (a1573)). zenon_intro zenon_H20c. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_H17 | zenon_intro zenon_H20d ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Hbe | zenon_intro zenon_H20e ]. % 1.00/1.17 exact (zenon_Hb8 zenon_Hbe). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H20f | zenon_intro zenon_Hbf ]. % 1.00/1.17 generalize (zenon_H14c (a1573)). zenon_intro zenon_H268. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H17 | zenon_intro zenon_H269 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hbe | zenon_intro zenon_H26a ]. % 1.00/1.17 exact (zenon_Hb8 zenon_Hbe). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H213 ]. % 1.00/1.17 exact (zenon_Hb9 zenon_Hc0). % 1.00/1.17 exact (zenon_H213 zenon_H20f). % 1.00/1.17 exact (zenon_Hbf zenon_Hba). % 1.00/1.17 (* end of lemma zenon_L267_ *) % 1.00/1.17 assert (zenon_L268_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38)))))) -> (~(c1_1 (a1573))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp1)) -> False). % 1.00/1.17 do 0 intro. intros zenon_He4 zenon_Hba zenon_Hb9 zenon_H14c zenon_Hb8 zenon_H18 zenon_He0 zenon_He2. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He5 ]. % 1.00/1.17 apply (zenon_L267_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He1 | zenon_intro zenon_He3 ]. % 1.00/1.17 exact (zenon_He0 zenon_He1). % 1.00/1.17 exact (zenon_He2 zenon_He3). % 1.00/1.17 (* end of lemma zenon_L268_ *) % 1.00/1.17 assert (zenon_L269_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp9)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Heb zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_He2 zenon_He0 zenon_He4 zenon_H262. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.00/1.17 apply (zenon_L254_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.00/1.17 apply (zenon_L268_); trivial. % 1.00/1.17 exact (zenon_H262 zenon_H263). % 1.00/1.17 (* end of lemma zenon_L269_ *) % 1.00/1.17 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1af zenon_H80 zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Hf9 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H12a zenon_H84. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.17 apply (zenon_L115_); trivial. % 1.00/1.17 apply (zenon_L259_); trivial. % 1.00/1.17 (* end of lemma zenon_L270_ *) % 1.00/1.17 assert (zenon_L271_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H26b zenon_H26c zenon_H12a zenon_H80 zenon_Hf9 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H262 zenon_H264 zenon_Hea zenon_H84 zenon_He9 zenon_He2 zenon_He4 zenon_H82 zenon_H26d zenon_H93 zenon_H6d zenon_H10d zenon_H10f zenon_H1d4 zenon_H125 zenon_H133 zenon_Ha8 zenon_Hf zenon_H81 zenon_H1b0 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.17 apply (zenon_L256_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.17 apply (zenon_L260_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_L29_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.17 apply (zenon_L264_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.00/1.17 apply (zenon_L266_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H10e ]. % 1.00/1.17 apply (zenon_L139_); trivial. % 1.00/1.17 exact (zenon_H10d zenon_H10e). % 1.00/1.17 apply (zenon_L258_); trivial. % 1.00/1.17 apply (zenon_L269_); trivial. % 1.00/1.17 apply (zenon_L259_); trivial. % 1.00/1.17 apply (zenon_L270_); trivial. % 1.00/1.17 (* end of lemma zenon_L271_ *) % 1.00/1.17 assert (zenon_L272_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H272 zenon_H18 zenon_H273 zenon_H274 zenon_H275. % 1.00/1.17 generalize (zenon_H272 (a1548)). zenon_intro zenon_H276. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H17 | zenon_intro zenon_H277 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H279 | zenon_intro zenon_H278 ]. % 1.00/1.17 exact (zenon_H273 zenon_H279). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ]. % 1.00/1.17 exact (zenon_H274 zenon_H27b). % 1.00/1.17 exact (zenon_H275 zenon_H27a). % 1.00/1.17 (* end of lemma zenon_L272_ *) % 1.00/1.17 assert (zenon_L273_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> (~(hskp4)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H190 zenon_H27c zenon_H275 zenon_H274 zenon_H273 zenon_H25e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H272 | zenon_intro zenon_H27d ]. % 1.00/1.17 apply (zenon_L272_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H13f | zenon_intro zenon_H25f ]. % 1.00/1.17 apply (zenon_L103_); trivial. % 1.00/1.17 exact (zenon_H25e zenon_H25f). % 1.00/1.17 (* end of lemma zenon_L273_ *) % 1.00/1.17 assert (zenon_L274_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H7b zenon_H194 zenon_H27c zenon_H25e zenon_H275 zenon_H274 zenon_H273 zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.17 apply (zenon_L91_); trivial. % 1.00/1.17 apply (zenon_L273_); trivial. % 1.00/1.17 (* end of lemma zenon_L274_ *) % 1.00/1.17 assert (zenon_L275_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H80 zenon_Hf9 zenon_Hea zenon_H151 zenon_H25 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_Hb5 zenon_H53 zenon_H38 zenon_H273 zenon_H274 zenon_H275 zenon_H25e zenon_H27c zenon_H194. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.17 apply (zenon_L214_); trivial. % 1.00/1.17 apply (zenon_L273_); trivial. % 1.00/1.17 apply (zenon_L274_); trivial. % 1.00/1.17 (* end of lemma zenon_L275_ *) % 1.00/1.17 assert (zenon_L276_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp5)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1b3 zenon_H101 zenon_H100 zenon_H112 zenon_H111 zenon_H18 zenon_H9 zenon_Hdc. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H58 | zenon_intro zenon_H1b4 ]. % 1.00/1.17 apply (zenon_L69_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_Ha | zenon_intro zenon_Hdd ]. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 exact (zenon_Hdc zenon_Hdd). % 1.00/1.17 (* end of lemma zenon_L276_ *) % 1.00/1.17 assert (zenon_L277_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> (~(hskp14)) -> (ndr1_0) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H27e zenon_H275 zenon_H274 zenon_H273 zenon_H9 zenon_H18 zenon_H112 zenon_H100 zenon_H101 zenon_H1b3 zenon_Hdc. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.00/1.17 apply (zenon_L272_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.00/1.17 apply (zenon_L276_); trivial. % 1.00/1.17 exact (zenon_Hdc zenon_Hdd). % 1.00/1.17 (* end of lemma zenon_L277_ *) % 1.00/1.17 assert (zenon_L278_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H147 zenon_H101 zenon_H100 zenon_H112 zenon_H111 zenon_H182 zenon_H181 zenon_H180 zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.17 apply (zenon_L69_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.17 apply (zenon_L103_); trivial. % 1.00/1.17 apply (zenon_L27_); trivial. % 1.00/1.17 (* end of lemma zenon_L278_ *) % 1.00/1.17 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H7b zenon_H194 zenon_H27e zenon_Hdc zenon_H112 zenon_H100 zenon_H101 zenon_H147 zenon_H275 zenon_H274 zenon_H273 zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.17 apply (zenon_L91_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.00/1.17 apply (zenon_L272_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.00/1.17 apply (zenon_L278_); trivial. % 1.00/1.17 exact (zenon_Hdc zenon_Hdd). % 1.00/1.17 (* end of lemma zenon_L279_ *) % 1.00/1.17 assert (zenon_L280_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H147 zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea zenon_H273 zenon_H274 zenon_H275 zenon_H1b3 zenon_Hdc zenon_H27e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.17 apply (zenon_L277_); trivial. % 1.00/1.17 apply (zenon_L279_); trivial. % 1.00/1.17 (* end of lemma zenon_L280_ *) % 1.00/1.17 assert (zenon_L281_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H26e zenon_H1b0 zenon_H147 zenon_H1b3 zenon_Hdc zenon_H27e zenon_H194 zenon_H27c zenon_H25e zenon_H275 zenon_H274 zenon_H273 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf9 zenon_H80. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.17 apply (zenon_L275_); trivial. % 1.00/1.17 apply (zenon_L280_); trivial. % 1.00/1.17 (* end of lemma zenon_L281_ *) % 1.00/1.17 assert (zenon_L282_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H147 zenon_H1b3 zenon_Hdc zenon_H27e zenon_H194 zenon_H27c zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf9 zenon_H80 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.17 apply (zenon_L256_); trivial. % 1.00/1.17 apply (zenon_L281_); trivial. % 1.00/1.17 (* end of lemma zenon_L282_ *) % 1.00/1.17 assert (zenon_L283_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(hskp5)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H280 zenon_H27e zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Hdc. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.00/1.17 apply (zenon_L272_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.00/1.17 apply (zenon_L129_); trivial. % 1.00/1.17 exact (zenon_Hdc zenon_Hdd). % 1.00/1.17 (* end of lemma zenon_L283_ *) % 1.00/1.17 assert (zenon_L284_ : (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38)))))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H14c zenon_H18 zenon_H58 zenon_H1e9 zenon_H1eb zenon_H1ea. % 1.00/1.17 generalize (zenon_H14c (a1545)). zenon_intro zenon_H283. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H283); [ zenon_intro zenon_H17 | zenon_intro zenon_H284 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1ee ]. % 1.00/1.17 generalize (zenon_H58 (a1545)). zenon_intro zenon_H1f2. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1f2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1f3 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f4 ]. % 1.00/1.17 exact (zenon_H1e9 zenon_H1ef). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f0 ]. % 1.00/1.17 exact (zenon_H1f5 zenon_H1f9). % 1.00/1.17 exact (zenon_H1f0 zenon_H1eb). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f0 ]. % 1.00/1.17 exact (zenon_H1ea zenon_H1f1). % 1.00/1.17 exact (zenon_H1f0 zenon_H1eb). % 1.00/1.17 (* end of lemma zenon_L284_ *) % 1.00/1.17 assert (zenon_L285_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38)))))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H6d zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H14c zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H9. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 1.00/1.17 apply (zenon_L284_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 1.00/1.17 apply (zenon_L22_); trivial. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 (* end of lemma zenon_L285_ *) % 1.00/1.17 assert (zenon_L286_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(hskp14)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp9)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H6c zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H9 zenon_H1e9 zenon_H1eb zenon_H1ea zenon_H6d zenon_H262. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.00/1.17 apply (zenon_L254_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.00/1.17 apply (zenon_L285_); trivial. % 1.00/1.17 exact (zenon_H262 zenon_H263). % 1.00/1.17 (* end of lemma zenon_L286_ *) % 1.00/1.17 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H26e zenon_H80 zenon_Hea zenon_Hf9 zenon_H81 zenon_H53 zenon_Hf zenon_H255 zenon_H256 zenon_H257 zenon_H6d zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H262 zenon_H264 zenon_H84. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_L29_); trivial. % 1.00/1.17 apply (zenon_L286_); trivial. % 1.00/1.17 apply (zenon_L259_); trivial. % 1.00/1.17 (* end of lemma zenon_L287_ *) % 1.00/1.17 assert (zenon_L288_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H26b zenon_H80 zenon_Hea zenon_Hf9 zenon_H81 zenon_H53 zenon_Hf zenon_H6d zenon_H1ea zenon_H1eb zenon_H1e9 zenon_H262 zenon_H264 zenon_H84 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.17 apply (zenon_L256_); trivial. % 1.00/1.17 apply (zenon_L287_); trivial. % 1.00/1.17 (* end of lemma zenon_L288_ *) % 1.00/1.17 assert (zenon_L289_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (c2_1 (a1545)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp5)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1b3 zenon_H1eb zenon_H15a zenon_H1e9 zenon_H18 zenon_H9 zenon_Hdc. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H58 | zenon_intro zenon_H1b4 ]. % 1.00/1.17 apply (zenon_L185_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_Ha | zenon_intro zenon_Hdd ]. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 exact (zenon_Hdc zenon_Hdd). % 1.00/1.17 (* end of lemma zenon_L289_ *) % 1.00/1.17 assert (zenon_L290_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp5)) -> (~(hskp14)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H170 zenon_Hdc zenon_H9 zenon_H1e9 zenon_H1eb zenon_H1b3 zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H16e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.17 apply (zenon_L289_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.17 apply (zenon_L19_); trivial. % 1.00/1.17 exact (zenon_H16e zenon_H16f). % 1.00/1.17 (* end of lemma zenon_L290_ *) % 1.00/1.17 assert (zenon_L291_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(hskp10)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp9)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H7b zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H1 zenon_H1e9 zenon_H1eb zenon_H1ea zenon_H7c zenon_H262. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.00/1.17 apply (zenon_L254_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.00/1.17 apply (zenon_L284_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_L24_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 exact (zenon_H262 zenon_H263). % 1.00/1.17 (* end of lemma zenon_L291_ *) % 1.00/1.17 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1545))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_Hdc zenon_H1b3 zenon_H125 zenon_H18c zenon_Hf zenon_H255 zenon_H256 zenon_H257 zenon_H6d zenon_H1ea zenon_H264 zenon_H84 zenon_Hf9 zenon_Hea zenon_H26b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.17 apply (zenon_L7_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.17 apply (zenon_L290_); trivial. % 1.00/1.17 apply (zenon_L131_); trivial. % 1.00/1.17 apply (zenon_L20_); trivial. % 1.00/1.17 apply (zenon_L286_); trivial. % 1.00/1.17 apply (zenon_L291_); trivial. % 1.00/1.17 apply (zenon_L287_); trivial. % 1.00/1.17 apply (zenon_L283_); trivial. % 1.00/1.17 (* end of lemma zenon_L292_ *) % 1.00/1.17 assert (zenon_L293_ : ((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H289 zenon_H28a zenon_H7c zenon_H82 zenon_H34 zenon_H170 zenon_H125 zenon_H18c zenon_H26b zenon_H80 zenon_Hea zenon_Hf9 zenon_H81 zenon_H53 zenon_Hf zenon_H6d zenon_H264 zenon_H84 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260 zenon_H151 zenon_Ha9 zenon_Hb5 zenon_H38 zenon_H27c zenon_H194 zenon_H27e zenon_Hdc zenon_H1b3 zenon_H147 zenon_H1b0 zenon_H286. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.17 apply (zenon_L288_); trivial. % 1.00/1.17 apply (zenon_L282_); trivial. % 1.00/1.17 apply (zenon_L292_); trivial. % 1.00/1.17 (* end of lemma zenon_L293_ *) % 1.00/1.17 assert (zenon_L294_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (ndr1_0) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H28d zenon_H7c zenon_H34 zenon_H170 zenon_H18c zenon_H286 zenon_H147 zenon_H1b3 zenon_Hdc zenon_H27e zenon_H194 zenon_H27c zenon_H151 zenon_H260 zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H18 zenon_H1b0 zenon_H81 zenon_Hf zenon_Ha8 zenon_H133 zenon_H125 zenon_H1d4 zenon_H10f zenon_H6d zenon_H93 zenon_H26d zenon_H82 zenon_He4 zenon_He2 zenon_He9 zenon_H84 zenon_Hea zenon_H264 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_Hf9 zenon_H80 zenon_H12a zenon_H26c zenon_H26b zenon_H28a. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.17 apply (zenon_L271_); trivial. % 1.00/1.17 apply (zenon_L282_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.17 apply (zenon_L271_); trivial. % 1.00/1.17 apply (zenon_L283_); trivial. % 1.00/1.17 apply (zenon_L293_); trivial. % 1.00/1.17 (* end of lemma zenon_L294_ *) % 1.00/1.17 assert (zenon_L295_ : (~(hskp6)) -> (hskp6) -> False). % 1.00/1.17 do 0 intro. intros zenon_H28e zenon_H28f. % 1.00/1.17 exact (zenon_H28e zenon_H28f). % 1.00/1.17 (* end of lemma zenon_L295_ *) % 1.00/1.17 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp22)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H52 zenon_H18c zenon_H290 zenon_H28e zenon_He4 zenon_He0 zenon_H100 zenon_H101 zenon_H230 zenon_H24f zenon_H147 zenon_H88 zenon_H89 zenon_H8a zenon_H63 zenon_H64 zenon_H65 zenon_Hb3 zenon_Hf9 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.17 apply (zenon_L204_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.00/1.17 apply (zenon_L266_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.00/1.17 apply (zenon_L232_); trivial. % 1.00/1.17 exact (zenon_H28e zenon_H28f). % 1.00/1.17 (* end of lemma zenon_L296_ *) % 1.00/1.17 assert (zenon_L297_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp4)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H189 zenon_H27c zenon_H275 zenon_H274 zenon_H273 zenon_H201 zenon_H203 zenon_H202 zenon_H24f zenon_H25e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H272 | zenon_intro zenon_H27d ]. % 1.00/1.17 apply (zenon_L272_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H13f | zenon_intro zenon_H25f ]. % 1.00/1.17 apply (zenon_L231_); trivial. % 1.00/1.17 exact (zenon_H25e zenon_H25f). % 1.00/1.17 (* end of lemma zenon_L297_ *) % 1.00/1.17 assert (zenon_L298_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H280 zenon_H18c zenon_H27c zenon_H25e zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.17 apply (zenon_L204_); trivial. % 1.00/1.17 apply (zenon_L297_); trivial. % 1.00/1.17 (* end of lemma zenon_L298_ *) % 1.00/1.17 assert (zenon_L299_ : ((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H289 zenon_H286 zenon_H18c zenon_H27c zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H260 zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H84 zenon_H264 zenon_H6d zenon_Hf zenon_H53 zenon_H81 zenon_Hf9 zenon_Hea zenon_H80 zenon_H26b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.17 apply (zenon_L288_); trivial. % 1.00/1.17 apply (zenon_L298_); trivial. % 1.00/1.17 (* end of lemma zenon_L299_ *) % 1.00/1.17 assert (zenon_L300_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H28d zenon_H26b zenon_H26c zenon_H12a zenon_H80 zenon_Hf9 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H264 zenon_Hea zenon_H84 zenon_He9 zenon_H82 zenon_H18c zenon_H290 zenon_H28e zenon_He4 zenon_H230 zenon_H24f zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H93 zenon_H6d zenon_H10f zenon_H1d4 zenon_H125 zenon_H133 zenon_Ha8 zenon_Hf zenon_H81 zenon_H1b0 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260 zenon_H27c zenon_H286. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.17 apply (zenon_L256_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.17 apply (zenon_L260_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_L29_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.17 apply (zenon_L264_); trivial. % 1.00/1.17 apply (zenon_L296_); trivial. % 1.00/1.17 apply (zenon_L258_); trivial. % 1.00/1.17 apply (zenon_L269_); trivial. % 1.00/1.17 apply (zenon_L259_); trivial. % 1.00/1.17 apply (zenon_L270_); trivial. % 1.00/1.17 apply (zenon_L298_); trivial. % 1.00/1.17 apply (zenon_L299_); trivial. % 1.00/1.17 (* end of lemma zenon_L300_ *) % 1.00/1.17 assert (zenon_L301_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hd5 zenon_H18 zenon_H292 zenon_H293 zenon_H294. % 1.00/1.17 generalize (zenon_Hd5 (a1543)). zenon_intro zenon_H295. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H17 | zenon_intro zenon_H296 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 1.00/1.17 exact (zenon_H292 zenon_H298). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ]. % 1.00/1.17 exact (zenon_H293 zenon_H29a). % 1.00/1.17 exact (zenon_H299 zenon_H294). % 1.00/1.17 (* end of lemma zenon_L301_ *) % 1.00/1.17 assert (zenon_L302_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp1)) -> False). % 1.00/1.17 do 0 intro. intros zenon_He4 zenon_H294 zenon_H293 zenon_H292 zenon_H18 zenon_He0 zenon_He2. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He5 ]. % 1.00/1.17 apply (zenon_L301_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He1 | zenon_intro zenon_He3 ]. % 1.00/1.17 exact (zenon_He0 zenon_He1). % 1.00/1.17 exact (zenon_He2 zenon_He3). % 1.00/1.17 (* end of lemma zenon_L302_ *) % 1.00/1.17 assert (zenon_L303_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H26e zenon_H26c zenon_H80 zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Hf9 zenon_H81 zenon_H53 zenon_Hf zenon_H12a zenon_H84 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.17 apply (zenon_L302_); trivial. % 1.00/1.17 apply (zenon_L270_); trivial. % 1.00/1.17 (* end of lemma zenon_L303_ *) % 1.00/1.17 assert (zenon_L304_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H26b zenon_H26c zenon_H80 zenon_Hea zenon_H264 zenon_H262 zenon_Hf9 zenon_H81 zenon_H53 zenon_Hf zenon_H12a zenon_H84 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.17 apply (zenon_L256_); trivial. % 1.00/1.17 apply (zenon_L303_); trivial. % 1.00/1.17 (* end of lemma zenon_L304_ *) % 1.00/1.17 assert (zenon_L305_ : ((~(hskp5))\/((ndr1_0)/\((c1_1 (a1539))/\((c3_1 (a1539))/\(~(c0_1 (a1539))))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1543))/\((~(c1_1 (a1543)))/\(~(c2_1 (a1543))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H29b zenon_H29c zenon_H20a zenon_H24f zenon_H230 zenon_H290 zenon_H28a zenon_H26b zenon_H26c zenon_H12a zenon_H80 zenon_Hf9 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H264 zenon_Hea zenon_H84 zenon_He9 zenon_He2 zenon_He4 zenon_H82 zenon_H26d zenon_H93 zenon_H6d zenon_H10f zenon_H1d4 zenon_H125 zenon_H133 zenon_Ha8 zenon_Hf zenon_H81 zenon_H1b0 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260 zenon_H151 zenon_H27c zenon_H194 zenon_H27e zenon_H1b3 zenon_H147 zenon_H286 zenon_H18c zenon_H170 zenon_H34 zenon_H7c zenon_H28d. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.00/1.17 apply (zenon_L294_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.00/1.17 apply (zenon_L300_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.17 apply (zenon_L304_); trivial. % 1.00/1.17 apply (zenon_L298_); trivial. % 1.00/1.17 (* end of lemma zenon_L305_ *) % 1.00/1.17 assert (zenon_L306_ : ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp31)) -> (~(hskp15)) -> (~(hskp7)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2a3 zenon_H10b zenon_Hd zenon_H10d. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H10c | zenon_intro zenon_H2a4 ]. % 1.00/1.17 exact (zenon_H10b zenon_H10c). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_He | zenon_intro zenon_H10e ]. % 1.00/1.17 exact (zenon_Hd zenon_He). % 1.00/1.17 exact (zenon_H10d zenon_H10e). % 1.00/1.17 (* end of lemma zenon_L306_ *) % 1.00/1.17 assert (zenon_L307_ : (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2a5 zenon_H18 zenon_H2a6 zenon_H2a7 zenon_H2a8. % 1.00/1.17 generalize (zenon_H2a5 (a1538)). zenon_intro zenon_H2a9. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_H17 | zenon_intro zenon_H2aa ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ab ]. % 1.00/1.17 exact (zenon_H2a6 zenon_H2ac). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ]. % 1.00/1.17 exact (zenon_H2a7 zenon_H2ae). % 1.00/1.17 exact (zenon_H2a8 zenon_H2ad). % 1.00/1.17 (* end of lemma zenon_L307_ *) % 1.00/1.17 assert (zenon_L308_ : (forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43)))))) -> (ndr1_0) -> (c0_1 (a1562)) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2af zenon_H18 zenon_H119 zenon_H117 zenon_H118. % 1.00/1.17 generalize (zenon_H2af (a1562)). zenon_intro zenon_H2b0. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_H17 | zenon_intro zenon_H2b1 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H124 | zenon_intro zenon_H120 ]. % 1.00/1.17 exact (zenon_H124 zenon_H119). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H123 | zenon_intro zenon_H122 ]. % 1.00/1.17 exact (zenon_H123 zenon_H117). % 1.00/1.17 exact (zenon_H122 zenon_H118). % 1.00/1.17 (* end of lemma zenon_L308_ *) % 1.00/1.17 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp15)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H12e zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hd. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2b3 ]. % 1.00/1.17 apply (zenon_L307_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2af | zenon_intro zenon_He ]. % 1.00/1.17 apply (zenon_L308_); trivial. % 1.00/1.17 exact (zenon_Hd zenon_He). % 1.00/1.17 (* end of lemma zenon_L309_ *) % 1.00/1.17 assert (zenon_L310_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp15)) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hd zenon_H10d zenon_H2a3. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.17 apply (zenon_L306_); trivial. % 1.00/1.17 apply (zenon_L309_); trivial. % 1.00/1.17 (* end of lemma zenon_L310_ *) % 1.00/1.17 assert (zenon_L311_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H84 zenon_He9 zenon_H264 zenon_H262 zenon_He0 zenon_He2 zenon_He4 zenon_H257 zenon_H256 zenon_H255 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_L310_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.17 apply (zenon_L35_); trivial. % 1.00/1.17 apply (zenon_L269_); trivial. % 1.00/1.17 (* end of lemma zenon_L311_ *) % 1.00/1.17 assert (zenon_L312_ : ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (c3_1 (a1593)) -> (~(c2_1 (a1593))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (c0_1 (a1593)) -> (ndr1_0) -> False). % 1.00/1.17 do 0 intro. intros zenon_H34 zenon_H1 zenon_H3b zenon_H56 zenon_Hd5 zenon_H3d zenon_H18. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H29 | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_L48_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 (* end of lemma zenon_L312_ *) % 1.00/1.17 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp16)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H52 zenon_Hfd zenon_H1 zenon_H34 zenon_H65 zenon_H64 zenon_H63 zenon_Hfb. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.00/1.17 apply (zenon_L312_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.00/1.17 apply (zenon_L22_); trivial. % 1.00/1.17 exact (zenon_Hfb zenon_Hfc). % 1.00/1.17 (* end of lemma zenon_L313_ *) % 1.00/1.17 assert (zenon_L314_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1566)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c1_1 (a1566))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hf9 zenon_H136 zenon_H1a2 zenon_H134 zenon_H65 zenon_H64 zenon_H19 zenon_H63 zenon_H18 zenon_Hb3. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfa ]. % 1.00/1.17 apply (zenon_L215_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H71 | zenon_intro zenon_Hb4 ]. % 1.00/1.17 apply (zenon_L265_); trivial. % 1.00/1.17 exact (zenon_Hb3 zenon_Hb4). % 1.00/1.17 (* end of lemma zenon_L314_ *) % 1.00/1.17 assert (zenon_L315_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H19 zenon_H18 zenon_Hb7 zenon_H2a6 zenon_H2a8 zenon_H2a7. % 1.00/1.17 generalize (zenon_H19 (a1538)). zenon_intro zenon_H2b4. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_H17 | zenon_intro zenon_H2b5 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2ab ]. % 1.00/1.17 generalize (zenon_Hb7 (a1538)). zenon_intro zenon_H2b7. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H17 | zenon_intro zenon_H2b8 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2b9 ]. % 1.00/1.17 exact (zenon_H2a6 zenon_H2ac). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ba ]. % 1.00/1.17 exact (zenon_H2a8 zenon_H2ad). % 1.00/1.17 exact (zenon_H2ba zenon_H2b6). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ]. % 1.00/1.17 exact (zenon_H2a7 zenon_H2ae). % 1.00/1.17 exact (zenon_H2a8 zenon_H2ad). % 1.00/1.17 (* end of lemma zenon_L315_ *) % 1.00/1.17 assert (zenon_L316_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (c3_1 (a1593)) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H26d zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hb7 zenon_H3b zenon_H3d zenon_H56 zenon_H18 zenon_H10d. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.00/1.17 apply (zenon_L315_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H10e ]. % 1.00/1.17 apply (zenon_L139_); trivial. % 1.00/1.17 exact (zenon_H10d zenon_H10e). % 1.00/1.17 (* end of lemma zenon_L316_ *) % 1.00/1.17 assert (zenon_L317_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H6d zenon_H101 zenon_H100 zenon_Hff zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H9. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 1.00/1.17 apply (zenon_L64_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 1.00/1.17 apply (zenon_L22_); trivial. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 (* end of lemma zenon_L317_ *) % 1.00/1.17 assert (zenon_L318_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp19)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> (~(c1_1 (a1566))) -> (c3_1 (a1566)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Ha8 zenon_H133 zenon_H125 zenon_H112 zenon_H1d4 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H9 zenon_H6d zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H91 zenon_H93 zenon_H16c zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H26d zenon_H134 zenon_H136 zenon_Hf9 zenon_H2bb zenon_H82. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.17 apply (zenon_L264_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 1.00/1.17 apply (zenon_L31_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H18. zenon_intro zenon_Ha5. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H9a. zenon_intro zenon_Ha6. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.00/1.17 apply (zenon_L314_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.00/1.17 apply (zenon_L316_); trivial. % 1.00/1.17 apply (zenon_L32_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.17 apply (zenon_L307_); trivial. % 1.00/1.17 apply (zenon_L317_); trivial. % 1.00/1.17 apply (zenon_L258_); trivial. % 1.00/1.17 (* end of lemma zenon_L318_ *) % 1.00/1.17 assert (zenon_L319_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp7)) -> (~(hskp31)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H7c zenon_H10d zenon_H10b zenon_H100 zenon_H101 zenon_H10f zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H1. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.00/1.17 apply (zenon_L67_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_L24_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 (* end of lemma zenon_L319_ *) % 1.00/1.17 assert (zenon_L320_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp23)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H7c zenon_H11 zenon_Hc1 zenon_H117 zenon_H118 zenon_H119 zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H1. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.00/1.17 apply (zenon_L71_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_L24_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 (* end of lemma zenon_L320_ *) % 1.00/1.17 assert (zenon_L321_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp19)) -> (~(c2_1 (a1600))) -> (~(c3_1 (a1600))) -> (c0_1 (a1600)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp2)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H12e zenon_H12f zenon_H91 zenon_H98 zenon_H99 zenon_H9a zenon_H1d4 zenon_H1 zenon_H72 zenon_H73 zenon_H74 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_H7c zenon_H12c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H58 | zenon_intro zenon_H132 ]. % 1.00/1.17 apply (zenon_L261_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12d ]. % 1.00/1.17 apply (zenon_L320_); trivial. % 1.00/1.17 exact (zenon_H12c zenon_H12d). % 1.00/1.17 (* end of lemma zenon_L321_ *) % 1.00/1.17 assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a1556))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Ha3 zenon_H133 zenon_H12f zenon_H12c zenon_H125 zenon_H11 zenon_H112 zenon_H91 zenon_H1d4 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H18. zenon_intro zenon_Ha5. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H9a. zenon_intro zenon_Ha6. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.17 apply (zenon_L319_); trivial. % 1.00/1.17 apply (zenon_L321_); trivial. % 1.00/1.17 (* end of lemma zenon_L322_ *) % 1.00/1.17 assert (zenon_L323_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1566)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c1_1 (a1566))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hf9 zenon_H136 zenon_H1a2 zenon_H134 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_Hb3. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfa ]. % 1.00/1.17 apply (zenon_L215_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H71 | zenon_intro zenon_Hb4 ]. % 1.00/1.17 apply (zenon_L24_); trivial. % 1.00/1.17 exact (zenon_Hb3 zenon_Hb4). % 1.00/1.17 (* end of lemma zenon_L323_ *) % 1.00/1.17 assert (zenon_L324_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H7c zenon_H101 zenon_H100 zenon_Hff zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H1. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.00/1.17 apply (zenon_L64_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_L24_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 (* end of lemma zenon_L324_ *) % 1.00/1.17 assert (zenon_L325_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp22)) -> (~(c1_1 (a1566))) -> (c3_1 (a1566)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2bb zenon_Hb3 zenon_H134 zenon_H136 zenon_Hf9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H7c zenon_H101 zenon_H100 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H1. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.17 apply (zenon_L323_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.17 apply (zenon_L307_); trivial. % 1.00/1.17 apply (zenon_L324_); trivial. % 1.00/1.17 (* end of lemma zenon_L325_ *) % 1.00/1.17 assert (zenon_L326_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H149 zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H7c zenon_H1 zenon_H101 zenon_H100 zenon_H2bb. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.17 apply (zenon_L325_); trivial. % 1.00/1.17 apply (zenon_L258_); trivial. % 1.00/1.17 (* end of lemma zenon_L326_ *) % 1.00/1.17 assert (zenon_L327_ : (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H29 zenon_H18 zenon_H200 zenon_H4a zenon_H4b. % 1.00/1.17 generalize (zenon_H29 (a1574)). zenon_intro zenon_H2bd. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H17 | zenon_intro zenon_H2be ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2bf | zenon_intro zenon_H4e ]. % 1.00/1.17 generalize (zenon_H200 (a1574)). zenon_intro zenon_H2c0. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2c0); [ zenon_intro zenon_H17 | zenon_intro zenon_H2c1 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H4e ]. % 1.00/1.17 exact (zenon_H2bf zenon_H2c2). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 1.00/1.17 exact (zenon_H51 zenon_H4a). % 1.00/1.17 exact (zenon_H50 zenon_H4b). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 1.00/1.17 exact (zenon_H51 zenon_H4a). % 1.00/1.17 exact (zenon_H50 zenon_H4b). % 1.00/1.17 (* end of lemma zenon_L327_ *) % 1.00/1.17 assert (zenon_L328_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c2_1 (a1574))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hde zenon_H49 zenon_H4b zenon_H4a zenon_H200 zenon_H18 zenon_Hdc. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H48 | zenon_intro zenon_Hdf ]. % 1.00/1.17 apply (zenon_L19_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 1.00/1.17 apply (zenon_L327_); trivial. % 1.00/1.17 exact (zenon_Hdc zenon_Hdd). % 1.00/1.17 (* end of lemma zenon_L328_ *) % 1.00/1.17 assert (zenon_L329_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp5)) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> (~(c2_1 (a1574))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(hskp31)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2c3 zenon_Hdc zenon_H4a zenon_H4b zenon_H49 zenon_Hde zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H18 zenon_H19 zenon_H10b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.00/1.17 apply (zenon_L328_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.00/1.17 apply (zenon_L315_); trivial. % 1.00/1.17 exact (zenon_H10b zenon_H10c). % 1.00/1.17 (* end of lemma zenon_L329_ *) % 1.00/1.17 assert (zenon_L330_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp31)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp5)) -> (ndr1_0) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> (~(c2_1 (a1574))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp29)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H251 zenon_H10b zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_Hdc zenon_H18 zenon_H4a zenon_H4b zenon_H49 zenon_Hde zenon_H225. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.00/1.17 apply (zenon_L329_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H200 | zenon_intro zenon_H226 ]. % 1.00/1.17 apply (zenon_L328_); trivial. % 1.00/1.17 exact (zenon_H225 zenon_H226). % 1.00/1.17 (* end of lemma zenon_L330_ *) % 1.00/1.17 assert (zenon_L331_ : (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (c0_1 (a1562)) -> (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (c3_1 (a1562)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H29 zenon_H18 zenon_H119 zenon_H3c zenon_H118. % 1.00/1.17 generalize (zenon_H29 (a1562)). zenon_intro zenon_H127. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H17 | zenon_intro zenon_H128 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H124 | zenon_intro zenon_H129 ]. % 1.00/1.17 exact (zenon_H124 zenon_H119). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H121 | zenon_intro zenon_H122 ]. % 1.00/1.17 generalize (zenon_H3c (a1562)). zenon_intro zenon_H2c5. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H17 | zenon_intro zenon_H2c6 ]. % 1.00/1.17 exact (zenon_H17 zenon_H18). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H11d | zenon_intro zenon_H2c7 ]. % 1.00/1.17 exact (zenon_H121 zenon_H11d). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H124 | zenon_intro zenon_H122 ]. % 1.00/1.17 exact (zenon_H124 zenon_H119). % 1.00/1.17 exact (zenon_H122 zenon_H118). % 1.00/1.17 exact (zenon_H122 zenon_H118). % 1.00/1.17 (* end of lemma zenon_L331_ *) % 1.00/1.17 assert (zenon_L332_ : ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (c3_1 (a1562)) -> (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (c0_1 (a1562)) -> (ndr1_0) -> False). % 1.00/1.17 do 0 intro. intros zenon_H34 zenon_H1 zenon_H118 zenon_H3c zenon_H119 zenon_H18. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H29 | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_L331_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 (* end of lemma zenon_L332_ *) % 1.00/1.17 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp30)) -> (~(hskp13)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H12e zenon_Ha9 zenon_H1 zenon_H34 zenon_H23 zenon_Ha1. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 1.00/1.17 apply (zenon_L332_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H24 | zenon_intro zenon_Ha2 ]. % 1.00/1.17 exact (zenon_H23 zenon_H24). % 1.00/1.17 exact (zenon_Ha1 zenon_Ha2). % 1.00/1.17 (* end of lemma zenon_L333_ *) % 1.00/1.17 assert (zenon_L334_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp29)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H38 zenon_H251 zenon_H225 zenon_Hde zenon_Hdc zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.17 apply (zenon_L330_); trivial. % 1.00/1.17 apply (zenon_L333_); trivial. % 1.00/1.17 apply (zenon_L16_); trivial. % 1.00/1.17 (* end of lemma zenon_L334_ *) % 1.00/1.17 assert (zenon_L335_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c2_1 (a1544)) -> (c1_1 (a1544)) -> (c0_1 (a1544)) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp7)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H10f zenon_H229 zenon_H228 zenon_H227 zenon_H18 zenon_H10b zenon_H10d. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hff | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L221_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10c | zenon_intro zenon_H10e ]. % 1.00/1.17 exact (zenon_H10b zenon_H10c). % 1.00/1.17 exact (zenon_H10d zenon_H10e). % 1.00/1.17 (* end of lemma zenon_L335_ *) % 1.00/1.17 assert (zenon_L336_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (~(hskp30)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (ndr1_0) -> (c0_1 (a1544)) -> (c1_1 (a1544)) -> (c2_1 (a1544)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H133 zenon_Ha9 zenon_Ha1 zenon_H23 zenon_H1 zenon_H34 zenon_H18 zenon_H227 zenon_H228 zenon_H229 zenon_H10d zenon_H10f. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.17 apply (zenon_L335_); trivial. % 1.00/1.17 apply (zenon_L333_); trivial. % 1.00/1.17 (* end of lemma zenon_L336_ *) % 1.00/1.17 assert (zenon_L337_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H232 zenon_H38 zenon_H10f zenon_H10d zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.17 apply (zenon_L336_); trivial. % 1.00/1.17 apply (zenon_L16_); trivial. % 1.00/1.17 (* end of lemma zenon_L337_ *) % 1.00/1.17 assert (zenon_L338_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H84 zenon_H81 zenon_H241 zenon_H10f zenon_Ha9 zenon_Ha1 zenon_H1 zenon_H34 zenon_H2c3 zenon_Hdc zenon_Hde zenon_H251 zenon_H38 zenon_H199 zenon_H19a zenon_H19b zenon_H12a zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_L310_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.17 apply (zenon_L113_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.00/1.17 apply (zenon_L334_); trivial. % 1.00/1.17 apply (zenon_L337_); trivial. % 1.00/1.18 (* end of lemma zenon_L338_ *) % 1.00/1.18 assert (zenon_L339_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H1ad zenon_He2 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H12a zenon_H38 zenon_H251 zenon_Hde zenon_Hdc zenon_H2c3 zenon_H34 zenon_H1 zenon_Ha9 zenon_H10f zenon_H241 zenon_H81 zenon_H84. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.18 apply (zenon_L338_); trivial. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 (* end of lemma zenon_L339_ *) % 1.00/1.18 assert (zenon_L340_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H82 zenon_H1da zenon_H1d8 zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H100 zenon_H101 zenon_H10d zenon_H10f zenon_Hd1 zenon_Hb zenon_H12a zenon_H112 zenon_H125 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H12c zenon_H12f zenon_H133. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L78_); trivial. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 (* end of lemma zenon_L340_ *) % 1.00/1.18 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Heb zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_H133 zenon_H12f zenon_H12c zenon_H125 zenon_H112 zenon_H12a zenon_Hd1 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H1d8 zenon_H1da zenon_H82. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.18 apply (zenon_L340_); trivial. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 (* end of lemma zenon_L341_ *) % 1.00/1.18 assert (zenon_L342_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp14)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1e5 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H6d zenon_H101 zenon_H100 zenon_H65 zenon_H64 zenon_H63 zenon_H9. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.18 apply (zenon_L163_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.18 apply (zenon_L307_); trivial. % 1.00/1.18 apply (zenon_L317_); trivial. % 1.00/1.18 (* end of lemma zenon_L342_ *) % 1.00/1.18 assert (zenon_L343_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H26b zenon_H1e8 zenon_H1da zenon_Hd1 zenon_Hf zenon_H53 zenon_H1b0 zenon_H80 zenon_H7c zenon_H12c zenon_H12f zenon_H125 zenon_H1d4 zenon_H10f zenon_H6d zenon_H34 zenon_Hfd zenon_H82 zenon_Hea zenon_H16c zenon_H26d zenon_Hf9 zenon_H2bb zenon_H196 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Ha8 zenon_Ha4 zenon_H93 zenon_H255 zenon_H256 zenon_H257 zenon_He4 zenon_He2 zenon_H262 zenon_H264 zenon_He9 zenon_H84 zenon_H81 zenon_H241 zenon_Ha9 zenon_H2c3 zenon_Hdc zenon_Hde zenon_H251 zenon_H38 zenon_H12a zenon_H1ad zenon_H26c. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.18 apply (zenon_L311_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L310_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L264_); trivial. % 1.00/1.18 apply (zenon_L313_); trivial. % 1.00/1.18 apply (zenon_L269_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L318_); trivial. % 1.00/1.18 apply (zenon_L269_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L310_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 1.00/1.18 apply (zenon_L31_); trivial. % 1.00/1.18 apply (zenon_L322_); trivial. % 1.00/1.18 apply (zenon_L313_); trivial. % 1.00/1.18 apply (zenon_L269_); trivial. % 1.00/1.18 apply (zenon_L326_); trivial. % 1.00/1.18 apply (zenon_L339_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.18 apply (zenon_L311_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L29_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L264_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 1.00/1.18 apply (zenon_L31_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H18. zenon_intro zenon_Ha5. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H9a. zenon_intro zenon_Ha6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.00/1.18 apply (zenon_L266_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.00/1.18 apply (zenon_L316_); trivial. % 1.00/1.18 apply (zenon_L32_); trivial. % 1.00/1.18 apply (zenon_L258_); trivial. % 1.00/1.18 apply (zenon_L341_); trivial. % 1.00/1.18 apply (zenon_L342_); trivial. % 1.00/1.18 apply (zenon_L259_); trivial. % 1.00/1.18 apply (zenon_L270_); trivial. % 1.00/1.18 (* end of lemma zenon_L343_ *) % 1.00/1.18 assert (zenon_L344_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp8)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H27 zenon_H63 zenon_H65 zenon_H64 zenon_H111 zenon_H18 zenon_H23 zenon_H25. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.00/1.18 apply (zenon_L146_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.00/1.18 exact (zenon_H23 zenon_H24). % 1.00/1.18 exact (zenon_H25 zenon_H26). % 1.00/1.18 (* end of lemma zenon_L344_ *) % 1.00/1.18 assert (zenon_L345_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> (~(hskp8)) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp5)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H27e zenon_H275 zenon_H274 zenon_H273 zenon_H25 zenon_H23 zenon_H18 zenon_H64 zenon_H65 zenon_H63 zenon_H27 zenon_Hdc. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.00/1.18 apply (zenon_L272_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.00/1.18 apply (zenon_L344_); trivial. % 1.00/1.18 exact (zenon_Hdc zenon_Hdd). % 1.00/1.18 (* end of lemma zenon_L345_ *) % 1.00/1.18 assert (zenon_L346_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6c zenon_H38 zenon_H34 zenon_H1 zenon_H273 zenon_H274 zenon_H275 zenon_H27 zenon_H25 zenon_Hdc zenon_H27e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.18 apply (zenon_L345_); trivial. % 1.00/1.18 apply (zenon_L16_); trivial. % 1.00/1.18 (* end of lemma zenon_L346_ *) % 1.00/1.18 assert (zenon_L347_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H84 zenon_H38 zenon_H34 zenon_H1 zenon_H273 zenon_H274 zenon_H275 zenon_H27 zenon_H25 zenon_Hdc zenon_H27e zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L310_); trivial. % 1.00/1.18 apply (zenon_L346_); trivial. % 1.00/1.18 (* end of lemma zenon_L347_ *) % 1.00/1.18 assert (zenon_L348_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.00/1.18 do 0 intro. intros zenon_He6 zenon_H38 zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_Hd3 zenon_H273 zenon_H274 zenon_H275 zenon_H27 zenon_H25 zenon_H63 zenon_H65 zenon_H64 zenon_Hdc zenon_H27e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.18 apply (zenon_L345_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.00/1.18 apply (zenon_L272_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.00/1.18 apply (zenon_L146_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.00/1.18 apply (zenon_L43_); trivial. % 1.00/1.18 apply (zenon_L41_); trivial. % 1.00/1.18 exact (zenon_Hdc zenon_Hdd). % 1.00/1.18 (* end of lemma zenon_L348_ *) % 1.00/1.18 assert (zenon_L349_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H84 zenon_He9 zenon_Hea zenon_Hd1 zenon_Hd3 zenon_H273 zenon_H274 zenon_H275 zenon_H27 zenon_H25 zenon_Hdc zenon_H27e zenon_Ha9 zenon_H8a zenon_H89 zenon_H88 zenon_Hb5 zenon_H9 zenon_H53 zenon_H38 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L310_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L35_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.18 apply (zenon_L40_); trivial. % 1.00/1.18 apply (zenon_L348_); trivial. % 1.00/1.18 (* end of lemma zenon_L349_ *) % 1.00/1.18 assert (zenon_L350_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6c zenon_He9 zenon_Hea zenon_H38 zenon_Hd1 zenon_Hd3 zenon_H273 zenon_H274 zenon_H275 zenon_H27 zenon_H25 zenon_Hdc zenon_H27e zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L35_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.18 apply (zenon_L59_); trivial. % 1.00/1.18 apply (zenon_L348_); trivial. % 1.00/1.18 (* end of lemma zenon_L350_ *) % 1.00/1.18 assert (zenon_L351_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H7b zenon_H84 zenon_He9 zenon_Hea zenon_H38 zenon_Hd1 zenon_Hd3 zenon_H273 zenon_H274 zenon_H275 zenon_H27 zenon_H25 zenon_Hdc zenon_H27e zenon_H88 zenon_H89 zenon_H8a zenon_Hf9 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L310_); trivial. % 1.00/1.18 apply (zenon_L350_); trivial. % 1.00/1.18 (* end of lemma zenon_L351_ *) % 1.00/1.18 assert (zenon_L352_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H194 zenon_H147 zenon_H151 zenon_H1b3 zenon_He9 zenon_Hea zenon_Hd1 zenon_Hd3 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_Hf9 zenon_H80 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H27e zenon_Hdc zenon_H25 zenon_H27 zenon_H34 zenon_H38 zenon_H84. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.18 apply (zenon_L347_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.18 apply (zenon_L349_); trivial. % 1.00/1.18 apply (zenon_L351_); trivial. % 1.00/1.18 apply (zenon_L280_); trivial. % 1.00/1.18 (* end of lemma zenon_L352_ *) % 1.00/1.18 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_H26c zenon_H1ad zenon_H12a zenon_H38 zenon_H251 zenon_Hde zenon_Hdc zenon_H2c3 zenon_Ha9 zenon_H241 zenon_H81 zenon_H84 zenon_He9 zenon_H264 zenon_He2 zenon_He4 zenon_H257 zenon_H256 zenon_H255 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133 zenon_H196 zenon_H2bb zenon_Hf9 zenon_H26d zenon_H16c zenon_Hea zenon_H82 zenon_Hfd zenon_H34 zenon_H6d zenon_H10f zenon_H1d4 zenon_H125 zenon_H12f zenon_H12c zenon_H7c zenon_H80 zenon_H1b0 zenon_H53 zenon_Hf zenon_Hd1 zenon_H1da zenon_H1e8 zenon_H26b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.18 apply (zenon_L343_); trivial. % 1.00/1.18 apply (zenon_L283_); trivial. % 1.00/1.18 (* end of lemma zenon_L353_ *) % 1.00/1.18 assert (zenon_L354_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp8)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H27 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hb7 zenon_H18 zenon_H23 zenon_H25. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.00/1.18 apply (zenon_L315_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.00/1.18 exact (zenon_H23 zenon_H24). % 1.00/1.18 exact (zenon_H25 zenon_H26). % 1.00/1.18 (* end of lemma zenon_L354_ *) % 1.00/1.18 assert (zenon_L355_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H85 zenon_H38 zenon_H34 zenon_H1 zenon_Hd3 zenon_H25 zenon_H27 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hde zenon_Hdc zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_Hd zenon_H2b2 zenon_H133. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.00/1.18 apply (zenon_L329_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.00/1.18 apply (zenon_L174_); trivial. % 1.00/1.18 apply (zenon_L354_); trivial. % 1.00/1.18 apply (zenon_L309_); trivial. % 1.00/1.18 apply (zenon_L16_); trivial. % 1.00/1.18 (* end of lemma zenon_L355_ *) % 1.00/1.18 assert (zenon_L356_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H81 zenon_H38 zenon_H34 zenon_H1 zenon_Hd3 zenon_H25 zenon_H27 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hde zenon_Hdc zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H2b2 zenon_H133 zenon_H9 zenon_Hd zenon_Hf. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.18 apply (zenon_L7_); trivial. % 1.00/1.18 apply (zenon_L355_); trivial. % 1.00/1.18 (* end of lemma zenon_L356_ *) % 1.00/1.18 assert (zenon_L357_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H26b zenon_Hea zenon_Hf9 zenon_H53 zenon_H84 zenon_H264 zenon_H262 zenon_H6d zenon_H257 zenon_H256 zenon_H255 zenon_Hf zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H34 zenon_H38 zenon_H81 zenon_H7c zenon_H80. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L356_); trivial. % 1.00/1.18 apply (zenon_L286_); trivial. % 1.00/1.18 apply (zenon_L291_); trivial. % 1.00/1.18 apply (zenon_L287_); trivial. % 1.00/1.18 (* end of lemma zenon_L357_ *) % 1.00/1.18 assert (zenon_L358_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H84 zenon_H273 zenon_H274 zenon_H275 zenon_H27e zenon_Hf zenon_H9 zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H1 zenon_H34 zenon_H38 zenon_H81. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L356_); trivial. % 1.00/1.18 apply (zenon_L346_); trivial. % 1.00/1.18 (* end of lemma zenon_L358_ *) % 1.00/1.18 assert (zenon_L359_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1545)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c0_1 (a1545))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H7c zenon_H1eb zenon_H15a zenon_H1e9 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H1. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.00/1.18 apply (zenon_L185_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.00/1.18 apply (zenon_L24_); trivial. % 1.00/1.18 exact (zenon_H1 zenon_H2). % 1.00/1.18 (* end of lemma zenon_L359_ *) % 1.00/1.18 assert (zenon_L360_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp10)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp28)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H170 zenon_H1 zenon_H1e9 zenon_H1eb zenon_H7c zenon_Hd zenon_H18 zenon_H72 zenon_H74 zenon_H73 zenon_H1c5 zenon_H16e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.18 apply (zenon_L359_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.18 apply (zenon_L136_); trivial. % 1.00/1.18 exact (zenon_H16e zenon_H16f). % 1.00/1.18 (* end of lemma zenon_L360_ *) % 1.00/1.18 assert (zenon_L361_ : ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp5)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2c8 zenon_Hdc zenon_H72 zenon_H74 zenon_Hde zenon_H174 zenon_H173 zenon_H172 zenon_H58 zenon_H18 zenon_Hd. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H62 | zenon_intro zenon_H2c9 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H48 | zenon_intro zenon_Hdf ]. % 1.00/1.18 apply (zenon_L188_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 1.00/1.18 apply (zenon_L101_); trivial. % 1.00/1.18 exact (zenon_Hdc zenon_Hdd). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H29 | zenon_intro zenon_He ]. % 1.00/1.18 apply (zenon_L101_); trivial. % 1.00/1.18 exact (zenon_Hd zenon_He). % 1.00/1.18 (* end of lemma zenon_L361_ *) % 1.00/1.18 assert (zenon_L362_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp10)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H189 zenon_H7c zenon_Hd zenon_Hde zenon_Hdc zenon_H2c8 zenon_H74 zenon_H73 zenon_H72 zenon_H1. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.00/1.18 apply (zenon_L361_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.00/1.18 apply (zenon_L24_); trivial. % 1.00/1.18 exact (zenon_H1 zenon_H2). % 1.00/1.18 (* end of lemma zenon_L362_ *) % 1.00/1.18 assert (zenon_L363_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H80 zenon_H170 zenon_H1c5 zenon_H7c zenon_H2c8 zenon_H18c zenon_H81 zenon_H38 zenon_H34 zenon_H1 zenon_Hd3 zenon_H25 zenon_H27 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hde zenon_Hdc zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H2b2 zenon_H133 zenon_Hf zenon_H27e zenon_H275 zenon_H274 zenon_H273 zenon_H84. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.18 apply (zenon_L358_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.18 apply (zenon_L360_); trivial. % 1.00/1.18 apply (zenon_L362_); trivial. % 1.00/1.18 apply (zenon_L346_); trivial. % 1.00/1.18 (* end of lemma zenon_L363_ *) % 1.00/1.18 assert (zenon_L364_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6c zenon_He9 zenon_H27e zenon_Hdc zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H275 zenon_H274 zenon_H273 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L35_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.00/1.18 apply (zenon_L272_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.00/1.18 apply (zenon_L146_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.00/1.18 apply (zenon_L174_); trivial. % 1.00/1.18 apply (zenon_L41_); trivial. % 1.00/1.18 exact (zenon_Hdc zenon_Hdd). % 1.00/1.18 (* end of lemma zenon_L364_ *) % 1.00/1.18 assert (zenon_L365_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H84 zenon_He9 zenon_H27e zenon_Hdc zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H275 zenon_H274 zenon_H273 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L29_); trivial. % 1.00/1.18 apply (zenon_L364_); trivial. % 1.00/1.18 (* end of lemma zenon_L365_ *) % 1.00/1.18 assert (zenon_L366_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp2)) -> (~(c1_1 (a1581))) -> (c2_1 (a1581)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp28)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H170 zenon_H12c zenon_Hc2 zenon_Hc5 zenon_H1e9 zenon_H1eb zenon_H12f zenon_Hd zenon_H18 zenon_H72 zenon_H74 zenon_H73 zenon_H1c5 zenon_H16e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.18 apply (zenon_L187_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.18 apply (zenon_L136_); trivial. % 1.00/1.18 exact (zenon_H16e zenon_H16f). % 1.00/1.18 (* end of lemma zenon_L366_ *) % 1.00/1.18 assert (zenon_L367_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43)))))) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H13f zenon_H18 zenon_H2af zenon_H173 zenon_H174. % 1.00/1.18 generalize (zenon_H13f (a1542)). zenon_intro zenon_H2ca. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H17 | zenon_intro zenon_H2cb ]. % 1.00/1.18 exact (zenon_H17 zenon_H18). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H17c | zenon_intro zenon_H1c4 ]. % 1.00/1.18 generalize (zenon_H2af (a1542)). zenon_intro zenon_H2cc. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H2cc); [ zenon_intro zenon_H17 | zenon_intro zenon_H2cd ]. % 1.00/1.18 exact (zenon_H17 zenon_H18). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H178 | zenon_intro zenon_H1c4 ]. % 1.00/1.18 exact (zenon_H178 zenon_H17c). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H17d | zenon_intro zenon_H17f ]. % 1.00/1.18 exact (zenon_H17d zenon_H173). % 1.00/1.18 exact (zenon_H17f zenon_H174). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H17d | zenon_intro zenon_H17f ]. % 1.00/1.18 exact (zenon_H17d zenon_H173). % 1.00/1.18 exact (zenon_H17f zenon_H174). % 1.00/1.18 (* end of lemma zenon_L367_ *) % 1.00/1.18 assert (zenon_L368_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp15)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H174 zenon_H173 zenon_H18 zenon_H13f zenon_Hd. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2b3 ]. % 1.00/1.18 apply (zenon_L307_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2af | zenon_intro zenon_He ]. % 1.00/1.18 apply (zenon_L367_); trivial. % 1.00/1.18 exact (zenon_Hd zenon_He). % 1.00/1.18 (* end of lemma zenon_L368_ *) % 1.00/1.18 assert (zenon_L369_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp5)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H189 zenon_H147 zenon_Hde zenon_H74 zenon_H72 zenon_Hdc zenon_H2c8 zenon_Hd zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H88 zenon_H89 zenon_H8a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.18 apply (zenon_L361_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.18 apply (zenon_L368_); trivial. % 1.00/1.18 apply (zenon_L27_); trivial. % 1.00/1.18 (* end of lemma zenon_L369_ *) % 1.00/1.18 assert (zenon_L370_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hea zenon_H18c zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_Hde zenon_Hdc zenon_H2c8 zenon_H12f zenon_H12c zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H170 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.18 apply (zenon_L59_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.18 apply (zenon_L366_); trivial. % 1.00/1.18 apply (zenon_L369_); trivial. % 1.00/1.18 (* end of lemma zenon_L370_ *) % 1.00/1.18 assert (zenon_L371_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H194 zenon_H151 zenon_H1b3 zenon_He9 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_H53 zenon_Hea zenon_H147 zenon_H12f zenon_H12c zenon_Hf9 zenon_Hd1 zenon_H84 zenon_H27e zenon_Hf zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H34 zenon_H38 zenon_H81 zenon_H18c zenon_H2c8 zenon_H7c zenon_H1c5 zenon_H170 zenon_H80. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.18 apply (zenon_L363_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L370_); trivial. % 1.00/1.18 apply (zenon_L350_); trivial. % 1.00/1.18 apply (zenon_L280_); trivial. % 1.00/1.18 (* end of lemma zenon_L371_ *) % 1.00/1.18 assert (zenon_L372_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H18 zenon_H10b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.00/1.18 apply (zenon_L203_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.00/1.18 apply (zenon_L41_); trivial. % 1.00/1.18 exact (zenon_H10b zenon_H10c). % 1.00/1.18 (* end of lemma zenon_L372_ *) % 1.00/1.18 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Heb zenon_H38 zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.18 apply (zenon_L372_); trivial. % 1.00/1.18 apply (zenon_L333_); trivial. % 1.00/1.18 apply (zenon_L16_); trivial. % 1.00/1.18 (* end of lemma zenon_L373_ *) % 1.00/1.18 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6c zenon_He9 zenon_H38 zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H34 zenon_H1 zenon_Ha9 zenon_H133 zenon_H93 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L35_); trivial. % 1.00/1.18 apply (zenon_L373_); trivial. % 1.00/1.18 (* end of lemma zenon_L374_ *) % 1.00/1.18 assert (zenon_L375_ : ((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (~(hskp23)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Ha3 zenon_H2ce zenon_H25 zenon_H11. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H18. zenon_intro zenon_Ha5. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H9a. zenon_intro zenon_Ha6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H97 | zenon_intro zenon_H2cf ]. % 1.00/1.18 apply (zenon_L32_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H26 | zenon_intro zenon_H12 ]. % 1.00/1.18 exact (zenon_H25 zenon_H26). % 1.00/1.18 exact (zenon_H11 zenon_H12). % 1.00/1.18 (* end of lemma zenon_L375_ *) % 1.00/1.18 assert (zenon_L376_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp23)) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp19)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Ha8 zenon_H2ce zenon_H11 zenon_H25 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H91 zenon_H93. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 1.00/1.18 apply (zenon_L31_); trivial. % 1.00/1.18 apply (zenon_L375_); trivial. % 1.00/1.18 (* end of lemma zenon_L376_ *) % 1.00/1.18 assert (zenon_L377_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H1 zenon_H34 zenon_H93 zenon_H91 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H25 zenon_H2ce zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L376_); trivial. % 1.00/1.18 apply (zenon_L313_); trivial. % 1.00/1.18 (* end of lemma zenon_L377_ *) % 1.00/1.18 assert (zenon_L378_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp23)) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp30)) -> (~(hskp8)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H27 zenon_H11 zenon_H18 zenon_H172 zenon_H173 zenon_H174 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H23 zenon_H25. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.00/1.18 apply (zenon_L190_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.00/1.18 exact (zenon_H23 zenon_H24). % 1.00/1.18 exact (zenon_H25 zenon_H26). % 1.00/1.18 (* end of lemma zenon_L378_ *) % 1.00/1.18 assert (zenon_L379_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H189 zenon_H38 zenon_H34 zenon_H1 zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_H25 zenon_H27. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.18 apply (zenon_L378_); trivial. % 1.00/1.18 apply (zenon_L16_); trivial. % 1.00/1.18 (* end of lemma zenon_L379_ *) % 1.00/1.18 assert (zenon_L380_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H18c zenon_H38 zenon_H34 zenon_H1 zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_H25 zenon_H27 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.18 apply (zenon_L204_); trivial. % 1.00/1.18 apply (zenon_L379_); trivial. % 1.00/1.18 (* end of lemma zenon_L380_ *) % 1.00/1.18 assert (zenon_L381_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H27 zenon_H25 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H1 zenon_H34 zenon_H38 zenon_H18c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L380_); trivial. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 (* end of lemma zenon_L381_ *) % 1.00/1.18 assert (zenon_L382_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(hskp31)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H18 zenon_H19 zenon_H10b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.00/1.18 apply (zenon_L203_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.00/1.18 apply (zenon_L315_); trivial. % 1.00/1.18 exact (zenon_H10b zenon_H10c). % 1.00/1.18 (* end of lemma zenon_L382_ *) % 1.00/1.18 assert (zenon_L383_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp31)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (ndr1_0) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c1_1 (a1539)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c2_1 (a1593))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H290 zenon_H10b zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H18 zenon_H3d zenon_H3b zenon_H1 zenon_H34 zenon_H201 zenon_H203 zenon_He4 zenon_H202 zenon_H100 zenon_H101 zenon_H56 zenon_H230 zenon_He0 zenon_He2 zenon_H147 zenon_H28e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.00/1.18 apply (zenon_L382_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.18 apply (zenon_L229_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.18 apply (zenon_L208_); trivial. % 1.00/1.18 apply (zenon_L18_); trivial. % 1.00/1.18 exact (zenon_H28e zenon_H28f). % 1.00/1.18 (* end of lemma zenon_L383_ *) % 1.00/1.18 assert (zenon_L384_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1593)) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (c1_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c3_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1566)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H147 zenon_He2 zenon_He0 zenon_H230 zenon_H3b zenon_H3d zenon_H56 zenon_H101 zenon_H100 zenon_H202 zenon_He4 zenon_H203 zenon_H214 zenon_H201 zenon_H18 zenon_H134 zenon_H1a2 zenon_H136. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.18 apply (zenon_L229_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.18 apply (zenon_L208_); trivial. % 1.00/1.18 apply (zenon_L215_); trivial. % 1.00/1.18 (* end of lemma zenon_L384_ *) % 1.00/1.18 assert (zenon_L385_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (c0_1 (a1562)) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2d0 zenon_H119 zenon_H118 zenon_H117 zenon_Hab zenon_H18 zenon_H1 zenon_H28e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H2d1 ]. % 1.00/1.18 apply (zenon_L70_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2 | zenon_intro zenon_H28f ]. % 1.00/1.18 exact (zenon_H1 zenon_H2). % 1.00/1.18 exact (zenon_H28e zenon_H28f). % 1.00/1.18 (* end of lemma zenon_L385_ *) % 1.00/1.18 assert (zenon_L386_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (c3_1 (a1566)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c1_1 (a1566))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c1_1 (a1539)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (c0_1 (a1562)) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H24f zenon_H257 zenon_H256 zenon_H255 zenon_H136 zenon_H1a2 zenon_H134 zenon_H201 zenon_H203 zenon_He4 zenon_H202 zenon_H100 zenon_H101 zenon_H56 zenon_H3d zenon_H3b zenon_H230 zenon_He0 zenon_He2 zenon_H147 zenon_H2d0 zenon_H119 zenon_H118 zenon_H117 zenon_H18 zenon_H1 zenon_H28e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.18 apply (zenon_L254_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.18 apply (zenon_L384_); trivial. % 1.00/1.18 apply (zenon_L385_); trivial. % 1.00/1.18 (* end of lemma zenon_L386_ *) % 1.00/1.18 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (c3_1 (a1566)) -> (~(c1_1 (a1566))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H52 zenon_H133 zenon_H2bb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H255 zenon_H256 zenon_H257 zenon_H136 zenon_H134 zenon_H2d0 zenon_H24f zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H147 zenon_H1 zenon_H34 zenon_H230 zenon_H101 zenon_H100 zenon_He0 zenon_He2 zenon_He4 zenon_H28e zenon_H290. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.18 apply (zenon_L383_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.18 apply (zenon_L386_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.18 apply (zenon_L307_); trivial. % 1.00/1.18 apply (zenon_L317_); trivial. % 1.00/1.18 (* end of lemma zenon_L387_ *) % 1.00/1.18 assert (zenon_L388_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (c3_1 (a1566)) -> (~(c1_1 (a1566))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H82 zenon_H133 zenon_H2bb zenon_H9 zenon_H6d zenon_H255 zenon_H256 zenon_H257 zenon_H136 zenon_H134 zenon_H2d0 zenon_H24f zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H147 zenon_H1 zenon_H34 zenon_H230 zenon_H101 zenon_H100 zenon_He0 zenon_He2 zenon_He4 zenon_H28e zenon_H290 zenon_H93 zenon_H91 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H25 zenon_H2ce zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L376_); trivial. % 1.00/1.18 apply (zenon_L387_); trivial. % 1.00/1.18 (* end of lemma zenon_L388_ *) % 1.00/1.18 assert (zenon_L389_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c1_1 (a1539)) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H19 zenon_H203 zenon_H201 zenon_H214 zenon_H202 zenon_H18 zenon_H11. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 1.00/1.18 apply (zenon_L146_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 1.00/1.18 apply (zenon_L228_); trivial. % 1.00/1.18 exact (zenon_H11 zenon_H12). % 1.00/1.18 (* end of lemma zenon_L389_ *) % 1.00/1.18 assert (zenon_L390_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp23)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H251 zenon_H11 zenon_H214 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H225. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.00/1.18 apply (zenon_L389_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H200 | zenon_intro zenon_H226 ]. % 1.00/1.18 apply (zenon_L203_); trivial. % 1.00/1.18 exact (zenon_H225 zenon_H226). % 1.00/1.18 (* end of lemma zenon_L390_ *) % 1.00/1.18 assert (zenon_L391_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(hskp23)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H290 zenon_H172 zenon_H173 zenon_H174 zenon_H225 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H11 zenon_H251 zenon_H28e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.00/1.18 apply (zenon_L190_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.00/1.18 apply (zenon_L390_); trivial. % 1.00/1.18 exact (zenon_H28e zenon_H28f). % 1.00/1.18 (* end of lemma zenon_L391_ *) % 1.00/1.18 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (~(hskp23)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H232 zenon_H290 zenon_H174 zenon_H173 zenon_H172 zenon_H72 zenon_H74 zenon_H73 zenon_H230 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H203 zenon_H201 zenon_H202 zenon_H11 zenon_H16c zenon_H28e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.00/1.18 apply (zenon_L190_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.00/1.18 apply (zenon_L389_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.00/1.18 apply (zenon_L41_); trivial. % 1.00/1.18 apply (zenon_L222_); trivial. % 1.00/1.18 exact (zenon_H28e zenon_H28f). % 1.00/1.18 (* end of lemma zenon_L392_ *) % 1.00/1.18 assert (zenon_L393_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H189 zenon_H241 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_H16c zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_H251 zenon_H202 zenon_H201 zenon_H203 zenon_H28e zenon_H290. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.00/1.18 apply (zenon_L391_); trivial. % 1.00/1.18 apply (zenon_L392_); trivial. % 1.00/1.18 (* end of lemma zenon_L393_ *) % 1.00/1.18 assert (zenon_L394_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H18c zenon_H241 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_H16c zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_H251 zenon_H28e zenon_H290 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.18 apply (zenon_L204_); trivial. % 1.00/1.18 apply (zenon_L393_); trivial. % 1.00/1.18 (* end of lemma zenon_L394_ *) % 1.00/1.18 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H290 zenon_H28e zenon_H251 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H16c zenon_H72 zenon_H74 zenon_H73 zenon_H230 zenon_H241 zenon_H18c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L394_); trivial. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 (* end of lemma zenon_L395_ *) % 1.00/1.18 assert (zenon_L396_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp10)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1e5 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H7c zenon_H101 zenon_H100 zenon_H74 zenon_H73 zenon_H72 zenon_H1. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.18 apply (zenon_L163_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.18 apply (zenon_L307_); trivial. % 1.00/1.18 apply (zenon_L324_); trivial. % 1.00/1.18 (* end of lemma zenon_L396_ *) % 1.00/1.18 assert (zenon_L397_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp18)) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1566)) -> (~(c1_1 (a1566))) -> (ndr1_0) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hea zenon_H151 zenon_H14f zenon_H25 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H136 zenon_H134 zenon_H18 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H7c zenon_H1 zenon_H101 zenon_H100 zenon_H2bb. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.18 apply (zenon_L325_); trivial. % 1.00/1.18 apply (zenon_L90_); trivial. % 1.00/1.18 (* end of lemma zenon_L397_ *) % 1.00/1.18 assert (zenon_L398_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> (ndr1_0) -> False). % 1.00/1.18 do 0 intro. intros zenon_H147 zenon_H1a2 zenon_H182 zenon_H181 zenon_H180 zenon_H34 zenon_H1 zenon_H118 zenon_H119 zenon_H18. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.18 apply (zenon_L116_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.18 apply (zenon_L103_); trivial. % 1.00/1.18 apply (zenon_L332_); trivial. % 1.00/1.18 (* end of lemma zenon_L398_ *) % 1.00/1.18 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c0_1 (a1572))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp10)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H12e zenon_H2bb zenon_H34 zenon_H180 zenon_H181 zenon_H182 zenon_H147 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H7c zenon_H101 zenon_H100 zenon_H74 zenon_H73 zenon_H72 zenon_H1. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.18 apply (zenon_L398_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.18 apply (zenon_L307_); trivial. % 1.00/1.18 apply (zenon_L324_); trivial. % 1.00/1.18 (* end of lemma zenon_L399_ *) % 1.00/1.18 assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H190 zenon_H133 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H34 zenon_H147 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.18 apply (zenon_L319_); trivial. % 1.00/1.18 apply (zenon_L399_); trivial. % 1.00/1.18 (* end of lemma zenon_L400_ *) % 1.00/1.18 assert (zenon_L401_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H149 zenon_H194 zenon_H133 zenon_H34 zenon_H147 zenon_H10f zenon_H10d zenon_H2bb zenon_H100 zenon_H101 zenon_H1 zenon_H7c zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H72 zenon_H73 zenon_H74 zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.18 apply (zenon_L397_); trivial. % 1.00/1.18 apply (zenon_L400_); trivial. % 1.00/1.18 (* end of lemma zenon_L401_ *) % 1.00/1.18 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H6c zenon_He9 zenon_H38 zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133 zenon_H93 zenon_H199 zenon_H19a zenon_H19b zenon_H1d4 zenon_Ha8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L171_); trivial. % 1.00/1.19 apply (zenon_L373_); trivial. % 1.00/1.19 (* end of lemma zenon_L402_ *) % 1.00/1.19 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H1ad zenon_He2 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Ha8 zenon_H1d4 zenon_H93 zenon_Ha9 zenon_H1 zenon_H34 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H38 zenon_He9 zenon_H84. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L310_); trivial. % 1.00/1.19 apply (zenon_L402_); trivial. % 1.00/1.19 apply (zenon_L123_); trivial. % 1.00/1.19 (* end of lemma zenon_L403_ *) % 1.00/1.19 assert (zenon_L404_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H26c zenon_H1ad zenon_H1d4 zenon_H84 zenon_He9 zenon_H38 zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H34 zenon_H1 zenon_Ha9 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133 zenon_H196 zenon_H255 zenon_H256 zenon_H257 zenon_H2d0 zenon_H24f zenon_H147 zenon_H230 zenon_He4 zenon_H28e zenon_H290 zenon_H1da zenon_H20a zenon_He2 zenon_H27 zenon_H125 zenon_H18c zenon_H2ce zenon_H25 zenon_Hfd zenon_H82 zenon_H6d zenon_H2bb zenon_H1e8 zenon_H7c zenon_H241 zenon_H16c zenon_H251 zenon_Hea zenon_H151 zenon_Hf9 zenon_H10f zenon_H194 zenon_H80 zenon_H1b0. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L310_); trivial. % 1.00/1.19 apply (zenon_L374_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L310_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L377_); trivial. % 1.00/1.19 apply (zenon_L381_); trivial. % 1.00/1.19 apply (zenon_L342_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L388_); trivial. % 1.00/1.19 apply (zenon_L381_); trivial. % 1.00/1.19 apply (zenon_L342_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L310_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L377_); trivial. % 1.00/1.19 apply (zenon_L395_); trivial. % 1.00/1.19 apply (zenon_L396_); trivial. % 1.00/1.19 apply (zenon_L401_); trivial. % 1.00/1.19 apply (zenon_L403_); trivial. % 1.00/1.19 (* end of lemma zenon_L404_ *) % 1.00/1.19 assert (zenon_L405_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H147 zenon_H1a2 zenon_H182 zenon_H181 zenon_H180 zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.19 apply (zenon_L116_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.19 apply (zenon_L103_); trivial. % 1.00/1.19 apply (zenon_L27_); trivial. % 1.00/1.19 (* end of lemma zenon_L405_ *) % 1.00/1.19 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c0_1 (a1572))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H232 zenon_H2bb zenon_H8a zenon_H89 zenon_H88 zenon_H180 zenon_H181 zenon_H182 zenon_H147 zenon_H2a8 zenon_H2a7 zenon_H2a6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.19 apply (zenon_L405_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_L221_); trivial. % 1.00/1.19 (* end of lemma zenon_L406_ *) % 1.00/1.19 assert (zenon_L407_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H189 zenon_H241 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H180 zenon_H182 zenon_H181 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_H251 zenon_H202 zenon_H201 zenon_H203 zenon_H28e zenon_H290. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.00/1.19 apply (zenon_L391_); trivial. % 1.00/1.19 apply (zenon_L406_); trivial. % 1.00/1.19 (* end of lemma zenon_L407_ *) % 1.00/1.19 assert (zenon_L408_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H18c zenon_H241 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H180 zenon_H182 zenon_H181 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_H251 zenon_H28e zenon_H290 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L204_); trivial. % 1.00/1.19 apply (zenon_L407_); trivial. % 1.00/1.19 (* end of lemma zenon_L408_ *) % 1.00/1.19 assert (zenon_L409_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H194 zenon_He9 zenon_H82 zenon_H1da zenon_H1d8 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H290 zenon_H28e zenon_H251 zenon_H125 zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2bb zenon_H241 zenon_H18c zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_Ha4 zenon_Ha8 zenon_H38 zenon_H53 zenon_H9 zenon_Hb5 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.19 apply (zenon_L214_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L35_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L408_); trivial. % 1.00/1.19 apply (zenon_L159_); trivial. % 1.00/1.19 (* end of lemma zenon_L409_ *) % 1.00/1.19 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1573))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c0_1 (a1573)) -> (~(c1_1 (a1573))) -> (~(hskp11)) -> (~(hskp1)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H189 zenon_H1ab zenon_H1de zenon_H1dd zenon_H1dc zenon_H147 zenon_Hb9 zenon_Hd1 zenon_H203 zenon_H201 zenon_H88 zenon_H89 zenon_H8a zenon_H255 zenon_H256 zenon_H257 zenon_H24f zenon_He4 zenon_Hba zenon_Hb8 zenon_He0 zenon_He2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.19 apply (zenon_L163_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.19 apply (zenon_L254_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.19 apply (zenon_L209_); trivial. % 1.00/1.19 apply (zenon_L130_); trivial. % 1.00/1.19 apply (zenon_L210_); trivial. % 1.00/1.19 (* end of lemma zenon_L410_ *) % 1.00/1.19 assert (zenon_L411_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1e5 zenon_He9 zenon_H18c zenon_H1ab zenon_He0 zenon_He4 zenon_H255 zenon_H256 zenon_H257 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L35_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L204_); trivial. % 1.00/1.19 apply (zenon_L410_); trivial. % 1.00/1.19 (* end of lemma zenon_L411_ *) % 1.00/1.19 assert (zenon_L412_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H189 zenon_H241 zenon_Ha4 zenon_Ha1 zenon_H91 zenon_H72 zenon_H74 zenon_H73 zenon_H230 zenon_H251 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_Hd zenon_H2b2 zenon_H133. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.00/1.19 apply (zenon_L382_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H200 | zenon_intro zenon_H226 ]. % 1.00/1.19 apply (zenon_L203_); trivial. % 1.00/1.19 exact (zenon_H225 zenon_H226). % 1.00/1.19 apply (zenon_L309_); trivial. % 1.00/1.19 apply (zenon_L223_); trivial. % 1.00/1.19 (* end of lemma zenon_L412_ *) % 1.00/1.19 assert (zenon_L413_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H18c zenon_H241 zenon_Ha4 zenon_Ha1 zenon_H91 zenon_H72 zenon_H74 zenon_H73 zenon_H230 zenon_H251 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_Hd zenon_H2b2 zenon_H133 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L204_); trivial. % 1.00/1.19 apply (zenon_L412_); trivial. % 1.00/1.19 (* end of lemma zenon_L413_ *) % 1.00/1.19 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Heb zenon_H133 zenon_H2b2 zenon_Hd zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.19 apply (zenon_L372_); trivial. % 1.00/1.19 apply (zenon_L309_); trivial. % 1.00/1.19 (* end of lemma zenon_L414_ *) % 1.00/1.19 assert (zenon_L415_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_He9 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H251 zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_Ha1 zenon_Ha4 zenon_H241 zenon_H18c. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L413_); trivial. % 1.00/1.19 apply (zenon_L414_); trivial. % 1.00/1.19 (* end of lemma zenon_L415_ *) % 1.00/1.19 assert (zenon_L416_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_He9 zenon_H82 zenon_H1da zenon_H1d8 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H290 zenon_H28e zenon_H251 zenon_H125 zenon_H16c zenon_H72 zenon_H74 zenon_H73 zenon_H230 zenon_H241 zenon_H18c zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L35_); trivial. % 1.00/1.19 apply (zenon_L395_); trivial. % 1.00/1.19 (* end of lemma zenon_L416_ *) % 1.00/1.19 assert (zenon_L417_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H6c zenon_H1e8 zenon_H1ab zenon_He0 zenon_He4 zenon_H255 zenon_H256 zenon_H257 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_H24f zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H93 zenon_H18c zenon_H241 zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_H16c zenon_H125 zenon_H251 zenon_H28e zenon_H290 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H1da zenon_H82 zenon_He9. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.19 apply (zenon_L416_); trivial. % 1.00/1.19 apply (zenon_L411_); trivial. % 1.00/1.19 (* end of lemma zenon_L417_ *) % 1.00/1.19 assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H7b zenon_H84 zenon_H1e8 zenon_H1ab zenon_He0 zenon_He4 zenon_H255 zenon_H256 zenon_H257 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_H24f zenon_Ha8 zenon_H93 zenon_H16c zenon_H125 zenon_H28e zenon_H290 zenon_H1da zenon_H82 zenon_H18c zenon_H241 zenon_Ha4 zenon_Ha1 zenon_H230 zenon_H251 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H2b2 zenon_H133 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_He9. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L415_); trivial. % 1.00/1.19 apply (zenon_L417_); trivial. % 1.00/1.19 (* end of lemma zenon_L418_ *) % 1.00/1.19 assert (zenon_L419_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp31)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp6)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H290 zenon_H10b zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H24f zenon_H202 zenon_H203 zenon_H201 zenon_H172 zenon_H173 zenon_H174 zenon_He4 zenon_H100 zenon_H101 zenon_H56 zenon_H3d zenon_H3b zenon_H230 zenon_He0 zenon_He2 zenon_H147 zenon_H28e. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.00/1.19 apply (zenon_L382_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.00/1.19 apply (zenon_L232_); trivial. % 1.00/1.19 exact (zenon_H28e zenon_H28f). % 1.00/1.19 (* end of lemma zenon_L419_ *) % 1.00/1.19 assert (zenon_L420_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (c0_1 (a1562)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hd1 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H19 zenon_Hab zenon_H12a zenon_H118 zenon_H117 zenon_H119 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hb. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 1.00/1.19 apply (zenon_L315_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 1.00/1.19 apply (zenon_L70_); trivial. % 1.00/1.19 apply (zenon_L73_); trivial. % 1.00/1.19 (* end of lemma zenon_L420_ *) % 1.00/1.19 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H52 zenon_H18c zenon_H133 zenon_H255 zenon_H256 zenon_H257 zenon_Hd1 zenon_H63 zenon_H64 zenon_H65 zenon_Hb zenon_H12a zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_H24f zenon_H230 zenon_H101 zenon_H100 zenon_He0 zenon_He4 zenon_H28e zenon_H290 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L204_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.19 apply (zenon_L419_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.19 apply (zenon_L254_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.19 apply (zenon_L232_); trivial. % 1.00/1.19 apply (zenon_L420_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.00/1.19 apply (zenon_L232_); trivial. % 1.00/1.19 exact (zenon_H28e zenon_H28f). % 1.00/1.19 (* end of lemma zenon_L421_ *) % 1.00/1.19 assert (zenon_L422_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp19)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H81 zenon_H53 zenon_H9 zenon_Ha8 zenon_H2ce zenon_H25 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H91 zenon_H93 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H290 zenon_H28e zenon_He4 zenon_He0 zenon_H100 zenon_H101 zenon_H230 zenon_H24f zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H12a zenon_Hd1 zenon_H257 zenon_H256 zenon_H255 zenon_H133 zenon_H18c zenon_H82. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L376_); trivial. % 1.00/1.19 apply (zenon_L421_); trivial. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 (* end of lemma zenon_L422_ *) % 1.00/1.19 assert (zenon_L423_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H6d zenon_H101 zenon_H100 zenon_H112 zenon_H111 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H9. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 1.00/1.19 apply (zenon_L69_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 1.00/1.19 apply (zenon_L22_); trivial. % 1.00/1.19 exact (zenon_H9 zenon_Ha). % 1.00/1.19 (* end of lemma zenon_L423_ *) % 1.00/1.19 assert (zenon_L424_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c1_1 (a1539)) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H125 zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H203 zenon_H201 zenon_H214 zenon_H202 zenon_H18 zenon_H11. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 1.00/1.19 apply (zenon_L423_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 1.00/1.19 apply (zenon_L228_); trivial. % 1.00/1.19 exact (zenon_H11 zenon_H12). % 1.00/1.19 (* end of lemma zenon_L424_ *) % 1.00/1.19 assert (zenon_L425_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(hskp23)) -> (~(c0_1 (a1539))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (ndr1_0) -> (c1_1 (a1539)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c3_1 (a1539)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H24f zenon_H257 zenon_H256 zenon_H255 zenon_H11 zenon_H201 zenon_H6d zenon_H101 zenon_H100 zenon_H112 zenon_H65 zenon_H64 zenon_H63 zenon_H9 zenon_H125 zenon_H18 zenon_H202 zenon_H48 zenon_H203. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.19 apply (zenon_L254_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.19 apply (zenon_L424_); trivial. % 1.00/1.19 apply (zenon_L250_); trivial. % 1.00/1.19 (* end of lemma zenon_L425_ *) % 1.00/1.19 assert (zenon_L426_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c0_1 (a1539))) -> (~(hskp23)) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp28)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H203 zenon_H202 zenon_H18 zenon_H125 zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H201 zenon_H11 zenon_H255 zenon_H256 zenon_H257 zenon_H24f zenon_H16e. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.19 apply (zenon_L95_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.19 apply (zenon_L425_); trivial. % 1.00/1.19 exact (zenon_H16e zenon_H16f). % 1.00/1.19 (* end of lemma zenon_L426_ *) % 1.00/1.19 assert (zenon_L427_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H58 zenon_H174 zenon_H173 zenon_H172 zenon_H18 zenon_H11. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 1.00/1.19 apply (zenon_L69_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 1.00/1.19 apply (zenon_L130_); trivial. % 1.00/1.19 exact (zenon_H11 zenon_H12). % 1.00/1.19 (* end of lemma zenon_L427_ *) % 1.00/1.19 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H189 zenon_H24f zenon_H257 zenon_H256 zenon_H255 zenon_H8a zenon_H89 zenon_H88 zenon_H201 zenon_H203 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_H147. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.19 apply (zenon_L254_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.19 apply (zenon_L427_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.19 apply (zenon_L208_); trivial. % 1.00/1.19 apply (zenon_L27_); trivial. % 1.00/1.19 apply (zenon_L130_); trivial. % 1.00/1.19 (* end of lemma zenon_L428_ *) % 1.00/1.19 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H203 zenon_H201 zenon_H202 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H24f zenon_H147 zenon_H18c zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.19 apply (zenon_L94_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L426_); trivial. % 1.00/1.19 apply (zenon_L428_); trivial. % 1.00/1.19 apply (zenon_L159_); trivial. % 1.00/1.19 (* end of lemma zenon_L429_ *) % 1.00/1.19 assert (zenon_L430_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H147 zenon_H101 zenon_H100 zenon_Hff zenon_H203 zenon_H214 zenon_H201 zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.19 apply (zenon_L64_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.19 apply (zenon_L208_); trivial. % 1.00/1.19 apply (zenon_L27_); trivial. % 1.00/1.19 (* end of lemma zenon_L430_ *) % 1.00/1.19 assert (zenon_L431_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H24f zenon_H257 zenon_H256 zenon_H255 zenon_H8a zenon_H89 zenon_H88 zenon_H201 zenon_H203 zenon_Hff zenon_H100 zenon_H101 zenon_H147 zenon_H18 zenon_H172 zenon_H173 zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.19 apply (zenon_L254_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.19 apply (zenon_L430_); trivial. % 1.00/1.19 apply (zenon_L130_); trivial. % 1.00/1.19 (* end of lemma zenon_L431_ *) % 1.00/1.19 assert (zenon_L432_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1e5 zenon_H18c zenon_H2bb zenon_H255 zenon_H256 zenon_H257 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_H101 zenon_H100 zenon_H24f zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L204_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.19 apply (zenon_L163_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_L431_); trivial. % 1.00/1.19 (* end of lemma zenon_L432_ *) % 1.00/1.19 assert (zenon_L433_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp23)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H2ce zenon_H73 zenon_H74 zenon_H48 zenon_H72 zenon_H18 zenon_H25 zenon_H11. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H97 | zenon_intro zenon_H2cf ]. % 1.00/1.19 apply (zenon_L97_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H26 | zenon_intro zenon_H12 ]. % 1.00/1.19 exact (zenon_H25 zenon_H26). % 1.00/1.19 exact (zenon_H11 zenon_H12). % 1.00/1.19 (* end of lemma zenon_L433_ *) % 1.00/1.19 assert (zenon_L434_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (~(hskp23)) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp28)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H11 zenon_H25 zenon_H18 zenon_H72 zenon_H74 zenon_H73 zenon_H2ce zenon_H16e. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.19 apply (zenon_L95_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.19 apply (zenon_L433_); trivial. % 1.00/1.19 exact (zenon_H16e zenon_H16f). % 1.00/1.19 (* end of lemma zenon_L434_ *) % 1.00/1.19 assert (zenon_L435_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp23)) -> (~(hskp8)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H18c zenon_H24f zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H201 zenon_H203 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H257 zenon_H256 zenon_H255 zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H2ce zenon_H11 zenon_H25 zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L434_); trivial. % 1.00/1.19 apply (zenon_L428_); trivial. % 1.00/1.19 (* end of lemma zenon_L435_ *) % 1.00/1.19 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H85 zenon_H18c zenon_H230 zenon_H101 zenon_H100 zenon_H24f zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H257 zenon_H256 zenon_H255 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L204_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.19 apply (zenon_L254_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.19 apply (zenon_L235_); trivial. % 1.00/1.19 apply (zenon_L130_); trivial. % 1.00/1.19 (* end of lemma zenon_L436_ *) % 1.00/1.19 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (c1_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H7b zenon_H84 zenon_H81 zenon_H20a zenon_H202 zenon_H290 zenon_H28e zenon_H230 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H12a zenon_Hd1 zenon_H133 zenon_H158 zenon_H101 zenon_H100 zenon_H112 zenon_H8a zenon_H89 zenon_H88 zenon_H18c zenon_H24f zenon_H125 zenon_H201 zenon_H203 zenon_H147 zenon_H257 zenon_H256 zenon_H255 zenon_H2ce zenon_H25 zenon_H170 zenon_H1ca zenon_He0 zenon_He2 zenon_He4 zenon_H82 zenon_H191. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.19 apply (zenon_L94_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L435_); trivial. % 1.00/1.19 apply (zenon_L141_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.19 apply (zenon_L94_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L435_); trivial. % 1.00/1.19 apply (zenon_L421_); trivial. % 1.00/1.19 apply (zenon_L436_); trivial. % 1.00/1.19 (* end of lemma zenon_L437_ *) % 1.00/1.19 assert (zenon_L438_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H195 zenon_H80 zenon_H1ca zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_He9 zenon_H191 zenon_H1da zenon_H170 zenon_H125 zenon_H6d zenon_H158 zenon_H82 zenon_H18c zenon_H133 zenon_H255 zenon_H256 zenon_H257 zenon_Hd1 zenon_H12a zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H147 zenon_H24f zenon_H230 zenon_He0 zenon_He4 zenon_H28e zenon_H290 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H93 zenon_H25 zenon_H2ce zenon_Ha8 zenon_H2bb zenon_H1e8 zenon_H84. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L29_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L422_); trivial. % 1.00/1.19 apply (zenon_L429_); trivial. % 1.00/1.19 apply (zenon_L432_); trivial. % 1.00/1.19 apply (zenon_L437_); trivial. % 1.00/1.19 (* end of lemma zenon_L438_ *) % 1.00/1.19 assert (zenon_L439_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H190 zenon_He9 zenon_H82 zenon_H1ab zenon_Hd1 zenon_H12c zenon_H12f zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H290 zenon_H28e zenon_H251 zenon_H125 zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2bb zenon_H241 zenon_H18c zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H199 zenon_H19a zenon_H19b zenon_H1d4 zenon_Ha8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L171_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L408_); trivial. % 1.00/1.19 apply (zenon_L120_); trivial. % 1.00/1.19 (* end of lemma zenon_L439_ *) % 1.00/1.19 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H1ad zenon_H84 zenon_H12a zenon_Hf zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81 zenon_He9 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H251 zenon_H230 zenon_Ha4 zenon_H241 zenon_H18c zenon_Hea zenon_H151 zenon_H25 zenon_Hf9 zenon_Ha8 zenon_H1d4 zenon_H93 zenon_H2bb zenon_H147 zenon_H125 zenon_H28e zenon_H290 zenon_H12f zenon_H12c zenon_Hd1 zenon_H1ab zenon_H82 zenon_H194 zenon_H80. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.19 apply (zenon_L115_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L415_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.19 apply (zenon_L91_); trivial. % 1.00/1.19 apply (zenon_L439_); trivial. % 1.00/1.19 apply (zenon_L123_); trivial. % 1.00/1.19 (* end of lemma zenon_L440_ *) % 1.00/1.19 assert (zenon_L441_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H1 zenon_H34 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L242_); trivial. % 1.00/1.19 apply (zenon_L313_); trivial. % 1.00/1.19 (* end of lemma zenon_L441_ *) % 1.00/1.19 assert (zenon_L442_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H149 zenon_H82 zenon_H133 zenon_H2bb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H255 zenon_H256 zenon_H257 zenon_H2d0 zenon_H24f zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H147 zenon_H1 zenon_H34 zenon_H230 zenon_H101 zenon_H100 zenon_He0 zenon_He4 zenon_H28e zenon_H290 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L242_); trivial. % 1.00/1.19 apply (zenon_L387_); trivial. % 1.00/1.19 (* end of lemma zenon_L442_ *) % 1.00/1.19 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H52 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H147 zenon_H1 zenon_H34 zenon_H230 zenon_H101 zenon_H100 zenon_He0 zenon_He2 zenon_He4 zenon_H28e zenon_H290. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.19 apply (zenon_L383_); trivial. % 1.00/1.19 apply (zenon_L309_); trivial. % 1.00/1.19 (* end of lemma zenon_L443_ *) % 1.00/1.19 assert (zenon_L444_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H82 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H147 zenon_H1 zenon_H34 zenon_H230 zenon_H101 zenon_H100 zenon_He0 zenon_He4 zenon_H28e zenon_H290 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L242_); trivial. % 1.00/1.19 apply (zenon_L443_); trivial. % 1.00/1.19 (* end of lemma zenon_L444_ *) % 1.00/1.19 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1566))) -> (c3_1 (a1566)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H52 zenon_H133 zenon_H255 zenon_H256 zenon_H257 zenon_H2d0 zenon_H24f zenon_H290 zenon_H28e zenon_He4 zenon_He2 zenon_He0 zenon_H100 zenon_H101 zenon_H230 zenon_H134 zenon_H136 zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H2bb. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.00/1.19 apply (zenon_L382_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.00/1.19 apply (zenon_L384_); trivial. % 1.00/1.19 exact (zenon_H28e zenon_H28f). % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_L324_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.19 apply (zenon_L386_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_L324_); trivial. % 1.00/1.19 (* end of lemma zenon_L445_ *) % 1.00/1.19 assert (zenon_L446_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H195 zenon_H80 zenon_H7c zenon_H2b2 zenon_H81 zenon_H82 zenon_H53 zenon_H1 zenon_H34 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_Hf zenon_Hfd zenon_H290 zenon_H28e zenon_He4 zenon_He0 zenon_H230 zenon_H147 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H24f zenon_H2d0 zenon_H257 zenon_H256 zenon_H255 zenon_H6d zenon_H2bb zenon_H133 zenon_H196 zenon_H84. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L243_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.19 apply (zenon_L441_); trivial. % 1.00/1.19 apply (zenon_L442_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L444_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.19 apply (zenon_L441_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.19 apply (zenon_L242_); trivial. % 1.00/1.19 apply (zenon_L445_); trivial. % 1.00/1.19 (* end of lemma zenon_L446_ *) % 1.00/1.19 assert (zenon_L447_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1b0 zenon_H7c zenon_Hfd zenon_H290 zenon_H28e zenon_He4 zenon_He0 zenon_H147 zenon_H24f zenon_H2d0 zenon_H257 zenon_H256 zenon_H255 zenon_H6d zenon_H2bb zenon_H196 zenon_H84 zenon_He9 zenon_H38 zenon_H2c3 zenon_Ha9 zenon_H133 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_Hf zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H34 zenon_H1 zenon_H53 zenon_H82 zenon_H81 zenon_H2b2 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H251 zenon_H230 zenon_H241 zenon_H80. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L243_); trivial. % 1.00/1.20 apply (zenon_L374_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L415_); trivial. % 1.00/1.20 apply (zenon_L374_); trivial. % 1.00/1.20 apply (zenon_L446_); trivial. % 1.00/1.20 (* end of lemma zenon_L447_ *) % 1.00/1.20 assert (zenon_L448_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(c0_1 (a1539))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H191 zenon_H82 zenon_H133 zenon_H255 zenon_H256 zenon_H257 zenon_Hd1 zenon_H63 zenon_H64 zenon_H65 zenon_Hb zenon_H12a zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H147 zenon_H24f zenon_H230 zenon_He0 zenon_He4 zenon_H28e zenon_H290 zenon_H201 zenon_He2 zenon_H20a zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.20 apply (zenon_L94_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_L252_); trivial. % 1.00/1.20 apply (zenon_L421_); trivial. % 1.00/1.20 (* end of lemma zenon_L448_ *) % 1.00/1.20 assert (zenon_L449_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H84 zenon_H158 zenon_H101 zenon_H100 zenon_H112 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H20a zenon_He2 zenon_H201 zenon_H290 zenon_H28e zenon_He4 zenon_He0 zenon_H230 zenon_H24f zenon_H147 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H12a zenon_Hd1 zenon_H257 zenon_H256 zenon_H255 zenon_H133 zenon_H82 zenon_H191 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L29_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.20 apply (zenon_L448_); trivial. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 (* end of lemma zenon_L449_ *) % 1.00/1.20 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(c0_1 (a1539))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H195 zenon_H80 zenon_H1c5 zenon_H1ca zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H191 zenon_H82 zenon_H133 zenon_H255 zenon_H256 zenon_H257 zenon_Hd1 zenon_H12a zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H147 zenon_H24f zenon_H230 zenon_He0 zenon_He4 zenon_H28e zenon_H290 zenon_H201 zenon_He2 zenon_H20a zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H84. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.20 apply (zenon_L449_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L142_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.20 apply (zenon_L448_); trivial. % 1.00/1.20 apply (zenon_L436_); trivial. % 1.00/1.20 (* end of lemma zenon_L450_ *) % 1.00/1.20 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H1ad zenon_H84 zenon_H12a zenon_Hf zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81 zenon_He9 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H251 zenon_H230 zenon_Ha4 zenon_H241 zenon_H18c zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H1d6 zenon_H93 zenon_Ha8 zenon_H1d4 zenon_Hd1 zenon_H1ab zenon_H1e8 zenon_H80. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.20 apply (zenon_L115_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L415_); trivial. % 1.00/1.20 apply (zenon_L173_); trivial. % 1.00/1.20 apply (zenon_L123_); trivial. % 1.00/1.20 (* end of lemma zenon_L451_ *) % 1.00/1.20 assert (zenon_L452_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp31)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp8)) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hd3 zenon_H10b zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H27 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H18 zenon_H23 zenon_H25. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.00/1.20 apply (zenon_L382_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.00/1.20 apply (zenon_L174_); trivial. % 1.00/1.20 apply (zenon_L354_); trivial. % 1.00/1.20 (* end of lemma zenon_L452_ *) % 1.00/1.20 assert (zenon_L453_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H38 zenon_Hd3 zenon_H25 zenon_H27 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.20 apply (zenon_L452_); trivial. % 1.00/1.20 apply (zenon_L333_); trivial. % 1.00/1.20 apply (zenon_L16_); trivial. % 1.00/1.20 (* end of lemma zenon_L453_ *) % 1.00/1.20 assert (zenon_L454_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(hskp30)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H133 zenon_H2b2 zenon_Hd zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_H23 zenon_Hd3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.20 apply (zenon_L452_); trivial. % 1.00/1.20 apply (zenon_L309_); trivial. % 1.00/1.20 (* end of lemma zenon_L454_ *) % 1.00/1.20 assert (zenon_L455_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H38 zenon_H34 zenon_H1 zenon_Hd3 zenon_H25 zenon_H27 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_Hd zenon_H2b2 zenon_H133. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.20 apply (zenon_L454_); trivial. % 1.00/1.20 apply (zenon_L16_); trivial. % 1.00/1.20 (* end of lemma zenon_L455_ *) % 1.00/1.20 assert (zenon_L456_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1545)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c0_1 (a1545))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H6d zenon_H1eb zenon_H15a zenon_H1e9 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H9. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 1.00/1.20 apply (zenon_L185_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 1.00/1.20 apply (zenon_L22_); trivial. % 1.00/1.20 exact (zenon_H9 zenon_Ha). % 1.00/1.20 (* end of lemma zenon_L456_ *) % 1.00/1.20 assert (zenon_L457_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c0_1 (a1539))) -> (~(hskp23)) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp28)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H170 zenon_H1e9 zenon_H1eb zenon_H203 zenon_H202 zenon_H18 zenon_H125 zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H201 zenon_H11 zenon_H255 zenon_H256 zenon_H257 zenon_H24f zenon_H16e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.20 apply (zenon_L456_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.20 apply (zenon_L425_); trivial. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 (* end of lemma zenon_L457_ *) % 1.00/1.20 assert (zenon_L458_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H189 zenon_H38 zenon_H34 zenon_H1 zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hd3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.00/1.20 apply (zenon_L190_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.00/1.20 apply (zenon_L174_); trivial. % 1.00/1.20 apply (zenon_L354_); trivial. % 1.00/1.20 apply (zenon_L16_); trivial. % 1.00/1.20 (* end of lemma zenon_L458_ *) % 1.00/1.20 assert (zenon_L459_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(hskp23)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H18c zenon_H38 zenon_H34 zenon_H1 zenon_H1ea zenon_H27 zenon_H25 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hd3 zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H24f zenon_H101 zenon_H100 zenon_H112 zenon_H202 zenon_H201 zenon_H203 zenon_H11 zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H170. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L457_); trivial. % 1.00/1.20 apply (zenon_L458_); trivial. % 1.00/1.20 (* end of lemma zenon_L459_ *) % 1.00/1.20 assert (zenon_L460_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1545))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H203 zenon_H201 zenon_H202 zenon_H112 zenon_H100 zenon_H101 zenon_H24f zenon_H18 zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_Hd3 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H25 zenon_H27 zenon_H1ea zenon_H1 zenon_H34 zenon_H38 zenon_H18c. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_L459_); trivial. % 1.00/1.20 apply (zenon_L313_); trivial. % 1.00/1.20 (* end of lemma zenon_L460_ *) % 1.00/1.20 assert (zenon_L461_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(hskp23)) -> (~(c0_1 (a1539))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (ndr1_0) -> (c1_1 (a1539)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c3_1 (a1539)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H24f zenon_H257 zenon_H256 zenon_H255 zenon_H11 zenon_H201 zenon_H19 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H18 zenon_H202 zenon_H48 zenon_H203. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.20 apply (zenon_L254_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.20 apply (zenon_L389_); trivial. % 1.00/1.20 apply (zenon_L250_); trivial. % 1.00/1.20 (* end of lemma zenon_L461_ *) % 1.00/1.20 assert (zenon_L462_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H18c zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H1eb zenon_H1e9 zenon_H18 zenon_Hd3 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H1ea zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H11 zenon_H203 zenon_H201 zenon_H202 zenon_H24f zenon_H170. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.20 apply (zenon_L456_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.00/1.20 apply (zenon_L461_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.00/1.20 apply (zenon_L174_); trivial. % 1.00/1.20 apply (zenon_L41_); trivial. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 apply (zenon_L191_); trivial. % 1.00/1.20 (* end of lemma zenon_L462_ *) % 1.00/1.20 assert (zenon_L463_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H24f zenon_H202 zenon_H201 zenon_H203 zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H1ea zenon_Hd3 zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H18c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_L462_); trivial. % 1.00/1.20 apply (zenon_L159_); trivial. % 1.00/1.20 (* end of lemma zenon_L463_ *) % 1.00/1.20 assert (zenon_L464_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp10)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp23)) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp28)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H170 zenon_H1 zenon_H1e9 zenon_H1eb zenon_H7c zenon_H11 zenon_H25 zenon_H18 zenon_H72 zenon_H74 zenon_H73 zenon_H2ce zenon_H16e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.20 apply (zenon_L359_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.20 apply (zenon_L433_); trivial. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 (* end of lemma zenon_L464_ *) % 1.00/1.20 assert (zenon_L465_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp23)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H18c zenon_H38 zenon_H34 zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H1ea zenon_H27 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hd3 zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H2ce zenon_H11 zenon_H25 zenon_H170. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L464_); trivial. % 1.00/1.20 apply (zenon_L458_); trivial. % 1.00/1.20 (* end of lemma zenon_L465_ *) % 1.00/1.20 assert (zenon_L466_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1545))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H170 zenon_H25 zenon_H2ce zenon_H18 zenon_H1e9 zenon_H1eb zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c zenon_Hd3 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H27 zenon_H1ea zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H34 zenon_H38 zenon_H18c. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_L465_); trivial. % 1.00/1.20 apply (zenon_L313_); trivial. % 1.00/1.20 (* end of lemma zenon_L466_ *) % 1.00/1.20 assert (zenon_L467_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c0_1 (a1572))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H7c zenon_H181 zenon_H182 zenon_H1a2 zenon_H180 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H1. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.00/1.20 apply (zenon_L116_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.00/1.20 apply (zenon_L24_); trivial. % 1.00/1.20 exact (zenon_H1 zenon_H2). % 1.00/1.20 (* end of lemma zenon_L467_ *) % 1.00/1.20 assert (zenon_L468_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp10)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H190 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H7c zenon_H101 zenon_H100 zenon_H74 zenon_H73 zenon_H72 zenon_H1. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.00/1.20 apply (zenon_L467_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.00/1.20 apply (zenon_L307_); trivial. % 1.00/1.20 apply (zenon_L324_); trivial. % 1.00/1.20 (* end of lemma zenon_L468_ *) % 1.00/1.20 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H1ad zenon_He2 zenon_H133 zenon_Ha9 zenon_H1 zenon_H34 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H38. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.20 apply (zenon_L453_); trivial. % 1.00/1.20 apply (zenon_L123_); trivial. % 1.00/1.20 (* end of lemma zenon_L469_ *) % 1.00/1.20 assert (zenon_L470_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H26c zenon_H1ad zenon_H38 zenon_Hd3 zenon_H25 zenon_H27 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H34 zenon_H1 zenon_Ha9 zenon_H133 zenon_H84 zenon_H196 zenon_H1e8 zenon_H2bb zenon_H2d0 zenon_H147 zenon_H230 zenon_He2 zenon_He4 zenon_H28e zenon_H290 zenon_H93 zenon_H2ce zenon_Ha8 zenon_H1da zenon_He9 zenon_H18c zenon_H6d zenon_H24f zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H170 zenon_Hfd zenon_H82 zenon_H2b2 zenon_H7c zenon_Hea zenon_H151 zenon_Hf9 zenon_H194 zenon_H80 zenon_H1b0. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.20 apply (zenon_L453_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L455_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.20 apply (zenon_L460_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L388_); trivial. % 1.00/1.20 apply (zenon_L463_); trivial. % 1.00/1.20 apply (zenon_L342_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L455_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.20 apply (zenon_L466_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.20 apply (zenon_L397_); trivial. % 1.00/1.20 apply (zenon_L468_); trivial. % 1.00/1.20 apply (zenon_L469_); trivial. % 1.00/1.20 (* end of lemma zenon_L470_ *) % 1.00/1.20 assert (zenon_L471_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_He6 zenon_H18c zenon_H241 zenon_Ha4 zenon_Ha1 zenon_H91 zenon_H230 zenon_H251 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H2b2 zenon_H133 zenon_H12f zenon_H12c zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L366_); trivial. % 1.00/1.20 apply (zenon_L412_); trivial. % 1.00/1.20 (* end of lemma zenon_L471_ *) % 1.00/1.20 assert (zenon_L472_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_He9 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H170 zenon_Hd zenon_H1c5 zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H251 zenon_H230 zenon_Ha1 zenon_Ha4 zenon_H241 zenon_H18c zenon_Hea. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.20 apply (zenon_L59_); trivial. % 1.00/1.20 apply (zenon_L471_); trivial. % 1.00/1.20 apply (zenon_L414_); trivial. % 1.00/1.20 (* end of lemma zenon_L472_ *) % 1.00/1.20 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H7b zenon_H84 zenon_H1e8 zenon_H1ab zenon_He0 zenon_He4 zenon_H255 zenon_H256 zenon_H257 zenon_H147 zenon_Hd1 zenon_H24f zenon_Ha8 zenon_H93 zenon_H16c zenon_H125 zenon_H28e zenon_H290 zenon_He2 zenon_H20a zenon_H1da zenon_H82 zenon_Hea zenon_H18c zenon_H241 zenon_Ha4 zenon_Ha1 zenon_H230 zenon_H251 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H2b2 zenon_H133 zenon_H12f zenon_H12c zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_H170 zenon_H88 zenon_H89 zenon_H8a zenon_Hf9 zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L472_); trivial. % 1.00/1.20 apply (zenon_L417_); trivial. % 1.00/1.20 (* end of lemma zenon_L473_ *) % 1.00/1.20 assert (zenon_L474_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H195 zenon_H80 zenon_H158 zenon_H1ca zenon_H191 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_He9 zenon_H1da zenon_H170 zenon_H125 zenon_H1ea zenon_Hd3 zenon_H1e9 zenon_H1eb zenon_H6d zenon_H82 zenon_H18c zenon_H133 zenon_H255 zenon_H256 zenon_H257 zenon_Hd1 zenon_H12a zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H147 zenon_H24f zenon_H230 zenon_He0 zenon_He4 zenon_H28e zenon_H290 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H93 zenon_H25 zenon_H2ce zenon_Ha8 zenon_H2bb zenon_H1e8 zenon_H84. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L29_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L422_); trivial. % 1.00/1.20 apply (zenon_L463_); trivial. % 1.00/1.20 apply (zenon_L432_); trivial. % 1.00/1.20 apply (zenon_L437_); trivial. % 1.00/1.20 (* end of lemma zenon_L474_ *) % 1.00/1.20 assert (zenon_L475_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp2)) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H170 zenon_H12c zenon_H199 zenon_H19a zenon_H19b zenon_H1e9 zenon_H1eb zenon_H12f zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H16e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H58 | zenon_intro zenon_H132 ]. % 1.00/1.20 apply (zenon_L185_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12d ]. % 1.00/1.20 apply (zenon_L112_); trivial. % 1.00/1.20 exact (zenon_H12c zenon_H12d). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.20 apply (zenon_L19_); trivial. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 (* end of lemma zenon_L475_ *) % 1.00/1.20 assert (zenon_L476_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H85 zenon_H82 zenon_H53 zenon_H9 zenon_H1 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H199 zenon_H19a zenon_H19b zenon_H12c zenon_H12f zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L475_); trivial. % 1.00/1.20 apply (zenon_L131_); trivial. % 1.00/1.20 apply (zenon_L20_); trivial. % 1.00/1.20 (* end of lemma zenon_L476_ *) % 1.00/1.20 assert (zenon_L477_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H81 zenon_H82 zenon_H53 zenon_H1 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H199 zenon_H19a zenon_H19b zenon_H12c zenon_H12f zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H9 zenon_Hd zenon_Hf. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 (* end of lemma zenon_L477_ *) % 1.00/1.20 assert (zenon_L478_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H84 zenon_H12a zenon_Hf zenon_H9 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H12f zenon_H12c zenon_H19b zenon_H19a zenon_H199 zenon_H1eb zenon_H1e9 zenon_H170 zenon_H34 zenon_H1 zenon_H53 zenon_H82 zenon_H81. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L477_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.20 apply (zenon_L113_); trivial. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 (* end of lemma zenon_L478_ *) % 1.00/1.20 assert (zenon_L479_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H18c zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H125 zenon_H11 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.20 apply (zenon_L456_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.20 apply (zenon_L251_); trivial. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 apply (zenon_L131_); trivial. % 1.00/1.20 (* end of lemma zenon_L479_ *) % 1.00/1.20 assert (zenon_L480_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H18c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_L479_); trivial. % 1.00/1.20 apply (zenon_L159_); trivial. % 1.00/1.20 (* end of lemma zenon_L480_ *) % 1.00/1.20 assert (zenon_L481_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_He9 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H1e9 zenon_H1eb zenon_H9 zenon_H6d zenon_H18c zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Ha1 zenon_Ha4 zenon_Ha8. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L35_); trivial. % 1.00/1.20 apply (zenon_L480_); trivial. % 1.00/1.20 (* end of lemma zenon_L481_ *) % 1.00/1.20 assert (zenon_L482_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H195 zenon_H191 zenon_H82 zenon_H21d zenon_He4 zenon_He0 zenon_H230 zenon_H24f zenon_H147 zenon_H201 zenon_He2 zenon_H20a zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H88 zenon_H89 zenon_H8a zenon_H158. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.20 apply (zenon_L94_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_L252_); trivial. % 1.00/1.20 apply (zenon_L233_); trivial. % 1.00/1.20 (* end of lemma zenon_L482_ *) % 1.00/1.20 assert (zenon_L483_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1581)) -> (~(c1_1 (a1581))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H18c zenon_H12f zenon_H12c zenon_Hc5 zenon_Hc2 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H125 zenon_H11 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.20 apply (zenon_L187_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.20 apply (zenon_L251_); trivial. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 apply (zenon_L131_); trivial. % 1.00/1.20 (* end of lemma zenon_L483_ *) % 1.00/1.20 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Heb zenon_Hea zenon_H82 zenon_H1ab zenon_H199 zenon_H19a zenon_H19b zenon_Hd1 zenon_H1de zenon_H1dd zenon_H1dc zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H18c zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.20 apply (zenon_L59_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.20 apply (zenon_L483_); trivial. % 1.00/1.20 apply (zenon_L164_); trivial. % 1.00/1.20 (* end of lemma zenon_L484_ *) % 1.00/1.20 assert (zenon_L485_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H6c zenon_H1e8 zenon_Hea zenon_H1ab zenon_Hd1 zenon_H202 zenon_H203 zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H88 zenon_H89 zenon_H8a zenon_Hf9 zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H93 zenon_H12a zenon_H19b zenon_H19a zenon_H199 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_H81 zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.20 apply (zenon_L169_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L35_); trivial. % 1.00/1.20 apply (zenon_L484_); trivial. % 1.00/1.20 (* end of lemma zenon_L485_ *) % 1.00/1.20 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1af zenon_H1b0 zenon_H1ad zenon_He2 zenon_H84 zenon_H12a zenon_Hf zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81 zenon_He9 zenon_Hf9 zenon_H170 zenon_H1c5 zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H251 zenon_H230 zenon_Ha4 zenon_H241 zenon_H18c zenon_Hea zenon_H191 zenon_H82 zenon_H1da zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H1d6 zenon_H93 zenon_Ha8 zenon_Hd1 zenon_H1ab zenon_H1e8 zenon_H80. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.20 apply (zenon_L115_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L472_); trivial. % 1.00/1.20 apply (zenon_L485_); trivial. % 1.00/1.20 apply (zenon_L123_); trivial. % 1.00/1.20 (* end of lemma zenon_L486_ *) % 1.00/1.20 assert (zenon_L487_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (ndr1_0) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H26c zenon_H1b0 zenon_H1ad zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Ha8 zenon_H1d4 zenon_H93 zenon_Ha9 zenon_H1 zenon_H34 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H38 zenon_He9 zenon_H84 zenon_H18 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.20 apply (zenon_L302_); trivial. % 1.00/1.20 apply (zenon_L403_); trivial. % 1.00/1.20 (* end of lemma zenon_L487_ *) % 1.00/1.20 assert (zenon_L488_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H190 zenon_H1ab zenon_H12c zenon_H12f zenon_H294 zenon_H293 zenon_H292 zenon_H199 zenon_H19a zenon_H19b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.20 apply (zenon_L117_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.20 apply (zenon_L301_); trivial. % 1.00/1.20 apply (zenon_L112_); trivial. % 1.00/1.20 (* end of lemma zenon_L488_ *) % 1.00/1.20 assert (zenon_L489_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H26e zenon_H26c zenon_H80 zenon_H194 zenon_H1ab zenon_H12c zenon_H12f zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_Hf zenon_H12a zenon_H84 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.20 apply (zenon_L302_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.20 apply (zenon_L115_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.20 apply (zenon_L91_); trivial. % 1.00/1.20 apply (zenon_L488_); trivial. % 1.00/1.20 (* end of lemma zenon_L489_ *) % 1.00/1.20 assert (zenon_L490_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1e5 zenon_H1ab zenon_H294 zenon_H293 zenon_H292 zenon_H199 zenon_H19a zenon_H19b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.20 apply (zenon_L163_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.20 apply (zenon_L301_); trivial. % 1.00/1.20 apply (zenon_L112_); trivial. % 1.00/1.20 (* end of lemma zenon_L490_ *) % 1.00/1.20 assert (zenon_L491_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H6c zenon_H1e8 zenon_H1ab zenon_H294 zenon_H293 zenon_H292 zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H93 zenon_H12a zenon_H19b zenon_H19a zenon_H199 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_H81 zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.20 apply (zenon_L169_); trivial. % 1.00/1.20 apply (zenon_L490_); trivial. % 1.00/1.20 (* end of lemma zenon_L491_ *) % 1.00/1.20 assert (zenon_L492_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1543))) -> (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H97 zenon_H18 zenon_H293 zenon_H3c zenon_H292 zenon_H294. % 1.00/1.20 generalize (zenon_H97 (a1543)). zenon_intro zenon_H2d2. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H17 | zenon_intro zenon_H2d3 ]. % 1.00/1.20 exact (zenon_H17 zenon_H18). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H29a | zenon_intro zenon_H2d4 ]. % 1.00/1.20 exact (zenon_H293 zenon_H29a). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H299 ]. % 1.00/1.20 generalize (zenon_H3c (a1543)). zenon_intro zenon_H2d6. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H2d6); [ zenon_intro zenon_H17 | zenon_intro zenon_H2d7 ]. % 1.00/1.20 exact (zenon_H17 zenon_H18). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H298 | zenon_intro zenon_H2d8 ]. % 1.00/1.20 exact (zenon_H292 zenon_H298). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H299 | zenon_intro zenon_H2d9 ]. % 1.00/1.20 exact (zenon_H299 zenon_H294). % 1.00/1.20 exact (zenon_H2d9 zenon_H2d5). % 1.00/1.20 exact (zenon_H299 zenon_H294). % 1.00/1.20 (* end of lemma zenon_L492_ *) % 1.00/1.20 assert (zenon_L493_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (~(c2_1 (a1543))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp15)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1c5 zenon_H294 zenon_H292 zenon_H3c zenon_H293 zenon_H18 zenon_H16e zenon_Hd. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H97 | zenon_intro zenon_H1c6 ]. % 1.00/1.20 apply (zenon_L492_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H16f | zenon_intro zenon_He ]. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 exact (zenon_Hd zenon_He). % 1.00/1.20 (* end of lemma zenon_L493_ *) % 1.00/1.20 assert (zenon_L494_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H13f zenon_H18 zenon_H201 zenon_H48 zenon_H202 zenon_H203. % 1.00/1.20 generalize (zenon_H13f (a1539)). zenon_intro zenon_H21a. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H17 | zenon_intro zenon_H21b ]. % 1.00/1.20 exact (zenon_H17 zenon_H18). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H207 | zenon_intro zenon_H21c ]. % 1.00/1.20 exact (zenon_H201 zenon_H207). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H215 | zenon_intro zenon_H208 ]. % 1.00/1.20 apply (zenon_L249_); trivial. % 1.00/1.20 exact (zenon_H208 zenon_H203). % 1.00/1.20 (* end of lemma zenon_L494_ *) % 1.00/1.20 assert (zenon_L495_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp15)) -> (~(hskp28)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp14)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H53 zenon_Hd zenon_H16e zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H13f zenon_H9. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 1.00/1.20 apply (zenon_L493_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 1.00/1.20 apply (zenon_L494_); trivial. % 1.00/1.20 exact (zenon_H9 zenon_Ha). % 1.00/1.20 (* end of lemma zenon_L495_ *) % 1.00/1.20 assert (zenon_L496_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1545)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c0_1 (a1545))) -> (~(hskp14)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp15)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H147 zenon_H1eb zenon_H15a zenon_H1e9 zenon_H9 zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H1c5 zenon_H294 zenon_H292 zenon_H293 zenon_H18 zenon_H16e zenon_Hd. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.20 apply (zenon_L185_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.20 apply (zenon_L495_); trivial. % 1.00/1.20 apply (zenon_L493_); trivial. % 1.00/1.20 (* end of lemma zenon_L496_ *) % 1.00/1.20 assert (zenon_L497_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(hskp14)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H170 zenon_Hd zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H9 zenon_H1e9 zenon_H1eb zenon_H147 zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H16e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.20 apply (zenon_L496_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.20 apply (zenon_L19_); trivial. % 1.00/1.20 exact (zenon_H16e zenon_H16f). % 1.00/1.20 (* end of lemma zenon_L497_ *) % 1.00/1.20 assert (zenon_L498_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H147 zenon_H1c5 zenon_Hd zenon_H294 zenon_H292 zenon_H293 zenon_H201 zenon_H202 zenon_H203 zenon_H9 zenon_H53 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L497_); trivial. % 1.00/1.20 apply (zenon_L131_); trivial. % 1.00/1.20 (* end of lemma zenon_L498_ *) % 1.00/1.20 assert (zenon_L499_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H81 zenon_H82 zenon_H1 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H147 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H9 zenon_Hd zenon_Hf. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.21 apply (zenon_L498_); trivial. % 1.00/1.21 apply (zenon_L20_); trivial. % 1.00/1.21 (* end of lemma zenon_L499_ *) % 1.00/1.21 assert (zenon_L500_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H170 zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H1e9 zenon_H1eb zenon_H6d zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H16e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.21 apply (zenon_L456_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.21 apply (zenon_L19_); trivial. % 1.00/1.21 exact (zenon_H16e zenon_H16f). % 1.00/1.21 (* end of lemma zenon_L500_ *) % 1.00/1.21 assert (zenon_L501_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_L500_); trivial. % 1.00/1.21 apply (zenon_L131_); trivial. % 1.00/1.21 (* end of lemma zenon_L501_ *) % 1.00/1.21 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H85 zenon_H82 zenon_H53 zenon_H1 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.21 apply (zenon_L501_); trivial. % 1.00/1.21 apply (zenon_L20_); trivial. % 1.00/1.21 (* end of lemma zenon_L502_ *) % 1.00/1.21 assert (zenon_L503_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H84 zenon_H6d zenon_H199 zenon_H19a zenon_H19b zenon_H12a zenon_Hf zenon_H9 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H147 zenon_H1c5 zenon_H294 zenon_H292 zenon_H293 zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H1eb zenon_H1e9 zenon_H170 zenon_H34 zenon_H1 zenon_H82 zenon_H81. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L499_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.21 apply (zenon_L113_); trivial. % 1.00/1.21 apply (zenon_L502_); trivial. % 1.00/1.21 (* end of lemma zenon_L503_ *) % 1.00/1.21 assert (zenon_L504_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H18c zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H125 zenon_H11 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.21 apply (zenon_L359_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.21 apply (zenon_L251_); trivial. % 1.00/1.21 exact (zenon_H16e zenon_H16f). % 1.00/1.21 apply (zenon_L131_); trivial. % 1.00/1.21 (* end of lemma zenon_L504_ *) % 1.00/1.21 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H1e9 zenon_H1eb zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c zenon_H18c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.21 apply (zenon_L504_); trivial. % 1.00/1.21 apply (zenon_L159_); trivial. % 1.00/1.21 (* end of lemma zenon_L505_ *) % 1.00/1.21 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a1543))/\((~(c1_1 (a1543)))/\(~(c2_1 (a1543)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2a0 zenon_H28d zenon_H7c zenon_H20a zenon_H251 zenon_H230 zenon_H241 zenon_H1c5 zenon_H147 zenon_H6d zenon_H27 zenon_Hd3 zenon_H26b zenon_H80 zenon_H194 zenon_H1ab zenon_H12c zenon_H12f zenon_Hf9 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_Hf zenon_H12a zenon_He4 zenon_He2 zenon_H84 zenon_He9 zenon_H38 zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H34 zenon_Ha9 zenon_H93 zenon_H1d4 zenon_Ha8 zenon_H2a3 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133 zenon_H1ad zenon_H1b0 zenon_H26c zenon_H1e8 zenon_Ha4 zenon_H1d6 zenon_H18c zenon_H125 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_H28a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_L489_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L302_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L115_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L310_); trivial. % 1.00/1.21 apply (zenon_L491_); trivial. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L302_); trivial. % 1.00/1.21 apply (zenon_L469_); trivial. % 1.00/1.21 apply (zenon_L489_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L302_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L503_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L413_); trivial. % 1.00/1.21 apply (zenon_L505_); trivial. % 1.00/1.21 apply (zenon_L490_); trivial. % 1.00/1.21 apply (zenon_L402_); trivial. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L302_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L115_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L472_); trivial. % 1.00/1.21 apply (zenon_L491_); trivial. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 (* end of lemma zenon_L506_ *) % 1.00/1.21 assert (zenon_L507_ : (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63)))))) -> (ndr1_0) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2da zenon_H18 zenon_H2db zenon_H2dc zenon_H2dd. % 1.00/1.21 generalize (zenon_H2da (a1535)). zenon_intro zenon_H2de. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2de); [ zenon_intro zenon_H17 | zenon_intro zenon_H2df ]. % 1.00/1.21 exact (zenon_H17 zenon_H18). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e0 ]. % 1.00/1.21 exact (zenon_H2db zenon_H2e1). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e2 ]. % 1.00/1.21 exact (zenon_H2dc zenon_H2e3). % 1.00/1.21 exact (zenon_H2e2 zenon_H2dd). % 1.00/1.21 (* end of lemma zenon_L507_ *) % 1.00/1.21 assert (zenon_L508_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(hskp6)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H12e zenon_H2e4 zenon_H2dd zenon_H2dc zenon_H2db zenon_H28e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2da | zenon_intro zenon_H2e5 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2af | zenon_intro zenon_H28f ]. % 1.00/1.21 apply (zenon_L308_); trivial. % 1.00/1.21 exact (zenon_H28e zenon_H28f). % 1.00/1.21 (* end of lemma zenon_L508_ *) % 1.00/1.21 assert (zenon_L509_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H149 zenon_H133 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H3 zenon_H13d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.21 apply (zenon_L81_); trivial. % 1.00/1.21 apply (zenon_L508_); trivial. % 1.00/1.21 (* end of lemma zenon_L509_ *) % 1.00/1.21 assert (zenon_L510_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H6c zenon_H196 zenon_Hfd zenon_H88 zenon_H89 zenon_H8a zenon_H3 zenon_H13d zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.21 apply (zenon_L144_); trivial. % 1.00/1.21 apply (zenon_L508_); trivial. % 1.00/1.21 apply (zenon_L509_); trivial. % 1.00/1.21 (* end of lemma zenon_L510_ *) % 1.00/1.21 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26e zenon_H84 zenon_H196 zenon_Hfd zenon_H3 zenon_H13d zenon_H2a3 zenon_H10d zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.21 apply (zenon_L306_); trivial. % 1.00/1.21 apply (zenon_L508_); trivial. % 1.00/1.21 apply (zenon_L510_); trivial. % 1.00/1.21 (* end of lemma zenon_L511_ *) % 1.00/1.21 assert (zenon_L512_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26b zenon_H84 zenon_H196 zenon_Hfd zenon_H13d zenon_H2a3 zenon_H10d zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_L127_); trivial. % 1.00/1.21 apply (zenon_L511_); trivial. % 1.00/1.21 (* end of lemma zenon_L512_ *) % 1.00/1.21 assert (zenon_L513_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp19)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H84 zenon_H196 zenon_Hfd zenon_H13d zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_He4 zenon_He2 zenon_He0 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H3 zenon_Hf7 zenon_H83 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H13 zenon_H1ca zenon_H82 zenon_He9. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L178_); trivial. % 1.00/1.21 apply (zenon_L510_); trivial. % 1.00/1.21 (* end of lemma zenon_L513_ *) % 1.00/1.21 assert (zenon_L514_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H84 zenon_H196 zenon_Hfd zenon_H3 zenon_H13d zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L29_); trivial. % 1.00/1.21 apply (zenon_L510_); trivial. % 1.00/1.21 (* end of lemma zenon_L514_ *) % 1.00/1.21 assert (zenon_L515_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H7b zenon_H1e8 zenon_H133 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H13d zenon_H1ab zenon_H38 zenon_H1d4 zenon_Hdc zenon_Hde zenon_H19b zenon_H19a zenon_H199 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H83 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H3 zenon_H13 zenon_H1da zenon_H82 zenon_He9. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.21 apply (zenon_L199_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.21 apply (zenon_L163_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.21 apply (zenon_L143_); trivial. % 1.00/1.21 apply (zenon_L112_); trivial. % 1.00/1.21 apply (zenon_L508_); trivial. % 1.00/1.21 (* end of lemma zenon_L515_ *) % 1.00/1.21 assert (zenon_L516_ : (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a1535))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1c7 zenon_H18 zenon_H2dc zenon_H1a2 zenon_H2db zenon_H2dd. % 1.00/1.21 generalize (zenon_H1c7 (a1535)). zenon_intro zenon_H2e6. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2e6); [ zenon_intro zenon_H17 | zenon_intro zenon_H2e7 ]. % 1.00/1.21 exact (zenon_H17 zenon_H18). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e8 ]. % 1.00/1.21 exact (zenon_H2dc zenon_H2e3). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2e2 ]. % 1.00/1.21 generalize (zenon_H1a2 (a1535)). zenon_intro zenon_H2ea. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2ea); [ zenon_intro zenon_H17 | zenon_intro zenon_H2eb ]. % 1.00/1.21 exact (zenon_H17 zenon_H18). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ]. % 1.00/1.21 exact (zenon_H2e9 zenon_H2ed). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e2 ]. % 1.00/1.21 exact (zenon_H2db zenon_H2e1). % 1.00/1.21 exact (zenon_H2e2 zenon_H2dd). % 1.00/1.21 exact (zenon_H2e2 zenon_H2dd). % 1.00/1.21 (* end of lemma zenon_L516_ *) % 1.00/1.21 assert (zenon_L517_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (ndr1_0) -> (~(c2_1 (a1535))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2ee zenon_H182 zenon_H181 zenon_H180 zenon_H18 zenon_H2dc zenon_H1a2 zenon_H2db zenon_H2dd. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L103_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L516_); trivial. % 1.00/1.21 (* end of lemma zenon_L517_ *) % 1.00/1.21 assert (zenon_L518_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H190 zenon_H1ab zenon_H2dd zenon_H2db zenon_H2dc zenon_H2ee zenon_H294 zenon_H293 zenon_H292 zenon_H199 zenon_H19a zenon_H19b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.21 apply (zenon_L517_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.21 apply (zenon_L301_); trivial. % 1.00/1.21 apply (zenon_L112_); trivial. % 1.00/1.21 (* end of lemma zenon_L518_ *) % 1.00/1.21 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H7b zenon_H194 zenon_H1ab zenon_H19b zenon_H19a zenon_H199 zenon_H294 zenon_H293 zenon_H292 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.21 apply (zenon_L91_); trivial. % 1.00/1.21 apply (zenon_L518_); trivial. % 1.00/1.21 (* end of lemma zenon_L519_ *) % 1.00/1.21 assert (zenon_L520_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1af zenon_H80 zenon_H194 zenon_H1ab zenon_H294 zenon_H293 zenon_H292 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H12a zenon_H84. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L115_); trivial. % 1.00/1.21 apply (zenon_L519_); trivial. % 1.00/1.21 (* end of lemma zenon_L520_ *) % 1.00/1.21 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26e zenon_H26c zenon_H80 zenon_H194 zenon_H1ab zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_Hf zenon_H12a zenon_H84 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L302_); trivial. % 1.00/1.21 apply (zenon_L520_); trivial. % 1.00/1.21 (* end of lemma zenon_L521_ *) % 1.00/1.21 assert (zenon_L522_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26b zenon_H26c zenon_H194 zenon_H1ab zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_Hf9 zenon_H151 zenon_Hea zenon_H12a zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4 zenon_H5 zenon_H3 zenon_H84 zenon_H6d zenon_Hf zenon_H83 zenon_H38 zenon_H34 zenon_H25 zenon_H27 zenon_H13 zenon_H53 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_L201_); trivial. % 1.00/1.21 apply (zenon_L521_); trivial. % 1.00/1.21 (* end of lemma zenon_L522_ *) % 1.00/1.21 assert (zenon_L523_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H7b zenon_H84 zenon_Ha8 zenon_Ha4 zenon_H93 zenon_H12a zenon_H81 zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H1d6 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_H199 zenon_H19a zenon_H19b zenon_Hde zenon_Hdc zenon_H1d4 zenon_H38 zenon_H292 zenon_H293 zenon_H294 zenon_H1ab zenon_H1e8. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.00/1.21 apply (zenon_L162_); trivial. % 1.00/1.21 apply (zenon_L490_); trivial. % 1.00/1.21 apply (zenon_L491_); trivial. % 1.00/1.21 (* end of lemma zenon_L523_ *) % 1.00/1.21 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H285 zenon_H26b zenon_H26c zenon_H1b0 zenon_H1ad zenon_H84 zenon_H12a zenon_Hf zenon_H53 zenon_H81 zenon_H1e8 zenon_H1ab zenon_H38 zenon_H1d4 zenon_Hde zenon_Ha9 zenon_H1d6 zenon_H18c zenon_H125 zenon_H1c5 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_L127_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L302_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L115_); trivial. % 1.00/1.21 apply (zenon_L523_); trivial. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 (* end of lemma zenon_L524_ *) % 1.00/1.21 assert (zenon_L525_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26b zenon_H196 zenon_Hfd zenon_H13d zenon_H2a3 zenon_H10d zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_H5 zenon_H3 zenon_H84 zenon_H6d zenon_Hf zenon_H83 zenon_H38 zenon_H34 zenon_H25 zenon_H27 zenon_H13 zenon_H53 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_L201_); trivial. % 1.00/1.21 apply (zenon_L511_); trivial. % 1.00/1.21 (* end of lemma zenon_L525_ *) % 1.00/1.21 assert (zenon_L526_ : (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a1535))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c3_1 (a1535)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1c7 zenon_H18 zenon_H2dc zenon_H214 zenon_H2dd. % 1.00/1.21 generalize (zenon_H1c7 (a1535)). zenon_intro zenon_H2e6. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2e6); [ zenon_intro zenon_H17 | zenon_intro zenon_H2e7 ]. % 1.00/1.21 exact (zenon_H17 zenon_H18). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e8 ]. % 1.00/1.21 exact (zenon_H2dc zenon_H2e3). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2e2 ]. % 1.00/1.21 generalize (zenon_H214 (a1535)). zenon_intro zenon_H2f0. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2f0); [ zenon_intro zenon_H17 | zenon_intro zenon_H2f1 ]. % 1.00/1.21 exact (zenon_H17 zenon_H18). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2e0 ]. % 1.00/1.21 exact (zenon_H2e9 zenon_H2ed). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e2 ]. % 1.00/1.21 exact (zenon_H2dc zenon_H2e3). % 1.00/1.21 exact (zenon_H2e2 zenon_H2dd). % 1.00/1.21 exact (zenon_H2e2 zenon_H2dd). % 1.00/1.21 (* end of lemma zenon_L526_ *) % 1.00/1.21 assert (zenon_L527_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1535))) -> (ndr1_0) -> (~(c2_1 (a1535))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c3_1 (a1535)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2ee zenon_H203 zenon_H201 zenon_H2db zenon_H18 zenon_H2dc zenon_H214 zenon_H2dd. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L208_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L526_); trivial. % 1.00/1.21 (* end of lemma zenon_L527_ *) % 1.00/1.21 assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(hskp11)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H189 zenon_H21d zenon_H2dd zenon_H2dc zenon_H2db zenon_H201 zenon_H203 zenon_H2ee zenon_He0. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H214 | zenon_intro zenon_H21e ]. % 1.00/1.21 apply (zenon_L527_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hab | zenon_intro zenon_He1 ]. % 1.00/1.21 apply (zenon_L130_); trivial. % 1.00/1.21 exact (zenon_He0 zenon_He1). % 1.00/1.21 (* end of lemma zenon_L528_ *) % 1.00/1.21 assert (zenon_L529_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H18c zenon_H21d zenon_He0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_L204_); trivial. % 1.00/1.21 apply (zenon_L528_); trivial. % 1.00/1.21 (* end of lemma zenon_L529_ *) % 1.00/1.21 assert (zenon_L530_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp14)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H53 zenon_H3d zenon_H3b zenon_H1 zenon_H34 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H13f zenon_H9. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 1.00/1.21 apply (zenon_L18_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 1.00/1.21 apply (zenon_L494_); trivial. % 1.00/1.21 exact (zenon_H9 zenon_Ha). % 1.00/1.21 (* end of lemma zenon_L530_ *) % 1.00/1.21 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(hskp14)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H52 zenon_H2ee zenon_H9 zenon_H201 zenon_H202 zenon_H203 zenon_H34 zenon_H1 zenon_H53 zenon_H2dd zenon_H2dc zenon_H2db. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L530_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L139_); trivial. % 1.00/1.21 (* end of lemma zenon_L531_ *) % 1.00/1.21 assert (zenon_L532_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H82 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H34 zenon_H1 zenon_H9 zenon_H53 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.21 apply (zenon_L242_); trivial. % 1.00/1.21 apply (zenon_L531_); trivial. % 1.00/1.21 (* end of lemma zenon_L532_ *) % 1.00/1.21 assert (zenon_L533_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (~(c0_1 (a1539))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (ndr1_0) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2ee zenon_H203 zenon_H202 zenon_H24b zenon_H201 zenon_H2dd zenon_H2dc zenon_H2db zenon_H18 zenon_H56 zenon_H3d zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L230_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L139_); trivial. % 1.00/1.21 (* end of lemma zenon_L533_ *) % 1.00/1.21 assert (zenon_L534_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (ndr1_0) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2ee zenon_H203 zenon_H214 zenon_H201 zenon_H2dd zenon_H2dc zenon_H2db zenon_H18 zenon_H56 zenon_H3d zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L208_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L139_); trivial. % 1.00/1.21 (* end of lemma zenon_L534_ *) % 1.00/1.21 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1539)) -> (c3_1 (a1593)) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H189 zenon_H24f zenon_H202 zenon_H3b zenon_H3d zenon_H56 zenon_H2db zenon_H2dc zenon_H2dd zenon_H201 zenon_H203 zenon_H2ee. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.21 apply (zenon_L533_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.21 apply (zenon_L534_); trivial. % 1.00/1.21 apply (zenon_L130_); trivial. % 1.00/1.21 (* end of lemma zenon_L535_ *) % 1.00/1.21 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H52 zenon_H18c zenon_H15b zenon_H15c zenon_H15d zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.21 apply (zenon_L95_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.21 apply (zenon_L533_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.21 apply (zenon_L534_); trivial. % 1.00/1.21 apply (zenon_L250_); trivial. % 1.00/1.21 exact (zenon_H16e zenon_H16f). % 1.00/1.21 apply (zenon_L535_); trivial. % 1.00/1.21 (* end of lemma zenon_L536_ *) % 1.00/1.21 assert (zenon_L537_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H18d zenon_H82 zenon_H24f zenon_H201 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.21 apply (zenon_L252_); trivial. % 1.00/1.21 apply (zenon_L536_); trivial. % 1.00/1.21 (* end of lemma zenon_L537_ *) % 1.00/1.21 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H7b zenon_H191 zenon_H82 zenon_H24f zenon_H201 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H199 zenon_H19a zenon_H19b zenon_H1d6. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.21 apply (zenon_L157_); trivial. % 1.00/1.21 apply (zenon_L537_); trivial. % 1.00/1.21 (* end of lemma zenon_L538_ *) % 1.00/1.21 assert (zenon_L539_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26c zenon_H80 zenon_H191 zenon_H24f zenon_H170 zenon_H1d6 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H53 zenon_H1 zenon_H34 zenon_H82 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H21d zenon_H18c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L529_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L532_); trivial. % 1.00/1.21 apply (zenon_L538_); trivial. % 1.00/1.21 (* end of lemma zenon_L539_ *) % 1.00/1.21 assert (zenon_L540_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c2_1 (a1535))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2ee zenon_H203 zenon_H202 zenon_H24b zenon_H201 zenon_H18 zenon_H2dc zenon_H1a2 zenon_H2db zenon_H2dd. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L230_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L516_); trivial. % 1.00/1.21 (* end of lemma zenon_L540_ *) % 1.00/1.21 assert (zenon_L541_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c2_1 (a1535))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2ee zenon_H203 zenon_H214 zenon_H201 zenon_H18 zenon_H2dc zenon_H1a2 zenon_H2db zenon_H2dd. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L208_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L516_); trivial. % 1.00/1.21 (* end of lemma zenon_L541_ *) % 1.00/1.21 assert (zenon_L542_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1539)) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c2_1 (a1535))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H24f zenon_H202 zenon_H2dd zenon_H2db zenon_H1a2 zenon_H2dc zenon_H201 zenon_H203 zenon_H2ee zenon_H18 zenon_H172 zenon_H173 zenon_H174. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.00/1.21 apply (zenon_L540_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.00/1.21 apply (zenon_L541_); trivial. % 1.00/1.21 apply (zenon_L130_); trivial. % 1.00/1.21 (* end of lemma zenon_L542_ *) % 1.00/1.21 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1af zenon_H80 zenon_H191 zenon_H82 zenon_H170 zenon_H25 zenon_H2ce zenon_H1ab zenon_H3 zenon_H13d zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H203 zenon_H202 zenon_H201 zenon_H24f zenon_H28e zenon_H2e4 zenon_H133 zenon_H18c zenon_H1d6 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H12a zenon_H84. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L115_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.21 apply (zenon_L157_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_L434_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.21 apply (zenon_L542_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.21 apply (zenon_L143_); trivial. % 1.00/1.21 apply (zenon_L112_); trivial. % 1.00/1.21 apply (zenon_L508_); trivial. % 1.00/1.21 apply (zenon_L536_); trivial. % 1.00/1.21 (* end of lemma zenon_L543_ *) % 1.00/1.21 assert (zenon_L544_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1af zenon_H80 zenon_H191 zenon_H82 zenon_H24f zenon_H201 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H1d6 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H12a zenon_H84. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L115_); trivial. % 1.00/1.21 apply (zenon_L538_); trivial. % 1.00/1.21 (* end of lemma zenon_L544_ *) % 1.00/1.21 assert (zenon_L545_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H6c zenon_H133 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H9 zenon_H6d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.21 apply (zenon_L68_); trivial. % 1.00/1.21 apply (zenon_L508_); trivial. % 1.00/1.21 (* end of lemma zenon_L545_ *) % 1.00/1.21 assert (zenon_L546_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H84 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H10f zenon_H101 zenon_H100 zenon_H9 zenon_H6d zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L310_); trivial. % 1.00/1.21 apply (zenon_L545_); trivial. % 1.00/1.21 (* end of lemma zenon_L546_ *) % 1.00/1.21 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H195 zenon_H80 zenon_H1 zenon_H7c zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H6d zenon_H10f zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H84. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_L546_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.21 apply (zenon_L319_); trivial. % 1.00/1.21 apply (zenon_L508_); trivial. % 1.00/1.21 (* end of lemma zenon_L547_ *) % 1.00/1.21 assert (zenon_L548_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1b0 zenon_H80 zenon_H1 zenon_H7c zenon_H6d zenon_H10f zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Ha8 zenon_Ha4 zenon_H93 zenon_H255 zenon_H256 zenon_H257 zenon_He4 zenon_He2 zenon_He0 zenon_H262 zenon_H264 zenon_He9 zenon_H84. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.21 apply (zenon_L311_); trivial. % 1.00/1.21 apply (zenon_L547_); trivial. % 1.00/1.21 (* end of lemma zenon_L548_ *) % 1.00/1.21 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26e zenon_H1b0 zenon_H81 zenon_Hf zenon_H6d zenon_H10d zenon_H10f zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_H84 zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_Hf9 zenon_H80. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.21 apply (zenon_L260_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L29_); trivial. % 1.00/1.21 apply (zenon_L545_); trivial. % 1.00/1.21 apply (zenon_L259_); trivial. % 1.00/1.21 (* end of lemma zenon_L549_ *) % 1.00/1.21 assert (zenon_L550_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H26b zenon_Hf zenon_Hea zenon_Hb5 zenon_H53 zenon_Hf9 zenon_H1b0 zenon_H80 zenon_H7c zenon_H6d zenon_H10f zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Ha8 zenon_Ha4 zenon_H93 zenon_H255 zenon_H256 zenon_H257 zenon_He4 zenon_He2 zenon_H262 zenon_H264 zenon_He9 zenon_H84 zenon_H81 zenon_H241 zenon_Ha9 zenon_H34 zenon_H2c3 zenon_Hdc zenon_Hde zenon_H251 zenon_H38 zenon_H12a zenon_H26c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.21 apply (zenon_L548_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.21 apply (zenon_L338_); trivial. % 1.00/1.21 apply (zenon_L547_); trivial. % 1.00/1.21 apply (zenon_L549_); trivial. % 1.00/1.21 (* end of lemma zenon_L550_ *) % 1.00/1.21 assert (zenon_L551_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c2_1 (a1581)) -> (~(c1_1 (a1581))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d6 zenon_Hc5 zenon_Hc2 zenon_H15a zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H156. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d7 ]. % 1.00/1.21 apply (zenon_L186_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H71 | zenon_intro zenon_H157 ]. % 1.00/1.21 apply (zenon_L24_); trivial. % 1.00/1.21 exact (zenon_H156 zenon_H157). % 1.00/1.21 (* end of lemma zenon_L551_ *) % 1.00/1.21 assert (zenon_L552_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp21)) -> (~(c1_1 (a1581))) -> (c2_1 (a1581)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(hskp23)) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp28)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H170 zenon_H156 zenon_Hc2 zenon_Hc5 zenon_H1d6 zenon_H11 zenon_H25 zenon_H18 zenon_H72 zenon_H74 zenon_H73 zenon_H2ce zenon_H16e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.21 apply (zenon_L551_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.21 apply (zenon_L433_); trivial. % 1.00/1.21 exact (zenon_H16e zenon_H16f). % 1.00/1.21 (* end of lemma zenon_L552_ *) % 1.00/1.21 assert (zenon_L553_ : (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43)))))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1c7 zenon_H18 zenon_H2af zenon_H89 zenon_H8a. % 1.00/1.21 generalize (zenon_H1c7 (a1549)). zenon_intro zenon_H2f2. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2f2); [ zenon_intro zenon_H17 | zenon_intro zenon_H2f3 ]. % 1.00/1.21 exact (zenon_H17 zenon_H18). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H8d ]. % 1.00/1.21 generalize (zenon_H2af (a1549)). zenon_intro zenon_H2f4. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2f4); [ zenon_intro zenon_H17 | zenon_intro zenon_H2f5 ]. % 1.00/1.21 exact (zenon_H17 zenon_H18). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf1 ]. % 1.00/1.21 exact (zenon_H90 zenon_H89). % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H8f ]. % 1.00/1.21 exact (zenon_Hf2 zenon_Hf6). % 1.00/1.21 exact (zenon_H8f zenon_H8a). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 1.00/1.21 exact (zenon_H90 zenon_H89). % 1.00/1.21 exact (zenon_H8f zenon_H8a). % 1.00/1.21 (* end of lemma zenon_L553_ *) % 1.00/1.21 assert (zenon_L554_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp15)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H8a zenon_H89 zenon_H18 zenon_H1c7 zenon_Hd. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2b3 ]. % 1.00/1.21 apply (zenon_L307_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2af | zenon_intro zenon_He ]. % 1.00/1.21 apply (zenon_L553_); trivial. % 1.00/1.21 exact (zenon_Hd zenon_He). % 1.00/1.21 (* end of lemma zenon_L554_ *) % 1.00/1.21 assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(hskp15)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H189 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H8a zenon_H89 zenon_Hd. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.21 apply (zenon_L368_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L554_); trivial. % 1.00/1.21 (* end of lemma zenon_L555_ *) % 1.00/1.21 assert (zenon_L556_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1581)) -> (~(c1_1 (a1581))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp23)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H18c zenon_H2ee zenon_H89 zenon_H8a zenon_H2dd zenon_H2dc zenon_H2db zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd zenon_H2b2 zenon_H1d6 zenon_H156 zenon_H74 zenon_H73 zenon_H72 zenon_Hc5 zenon_Hc2 zenon_H18 zenon_H2ce zenon_H11 zenon_H25 zenon_H170. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_L552_); trivial. % 1.00/1.21 apply (zenon_L555_); trivial. % 1.00/1.21 (* end of lemma zenon_L556_ *) % 1.00/1.21 assert (zenon_L557_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H18d zenon_H18c zenon_H2ee zenon_H89 zenon_H8a zenon_H2dd zenon_H2dc zenon_H2db zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_L137_); trivial. % 1.00/1.21 apply (zenon_L555_); trivial. % 1.00/1.21 (* end of lemma zenon_L557_ *) % 1.00/1.21 assert (zenon_L558_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H191 zenon_H1c5 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H18c zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd zenon_H2b2 zenon_H1d6 zenon_H2ce zenon_H25 zenon_H170 zenon_H1ca zenon_He0 zenon_He2 zenon_He4 zenon_H82 zenon_Hea. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.21 apply (zenon_L59_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.21 apply (zenon_L556_); trivial. % 1.00/1.21 apply (zenon_L141_); trivial. % 1.00/1.21 apply (zenon_L557_); trivial. % 1.00/1.21 (* end of lemma zenon_L558_ *) % 1.00/1.21 assert (zenon_L559_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H191 zenon_H18c zenon_H2ee zenon_H89 zenon_H8a zenon_H2dd zenon_H2dc zenon_H2db zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H1c5 zenon_Hd zenon_H170 zenon_H18 zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.21 apply (zenon_L157_); trivial. % 1.00/1.21 apply (zenon_L557_); trivial. % 1.00/1.21 (* end of lemma zenon_L559_ *) % 1.00/1.21 assert (zenon_L560_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H85 zenon_H241 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H180 zenon_H182 zenon_H181 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H273 zenon_H274 zenon_H275 zenon_H251 zenon_Hdc zenon_Hde zenon_H63 zenon_H65 zenon_H64 zenon_H27e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.00/1.21 apply (zenon_L272_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.00/1.21 apply (zenon_L146_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H200 | zenon_intro zenon_H226 ]. % 1.00/1.21 apply (zenon_L328_); trivial. % 1.00/1.21 exact (zenon_H225 zenon_H226). % 1.00/1.22 exact (zenon_Hdc zenon_Hdd). % 1.00/1.22 apply (zenon_L406_); trivial. % 1.00/1.22 (* end of lemma zenon_L560_ *) % 1.00/1.22 assert (zenon_L561_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H6c zenon_H194 zenon_H81 zenon_H241 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_H273 zenon_H274 zenon_H275 zenon_H251 zenon_Hdc zenon_Hde zenon_H27e zenon_H199 zenon_H19a zenon_H19b zenon_H12a zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.22 apply (zenon_L91_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.22 apply (zenon_L113_); trivial. % 1.00/1.22 apply (zenon_L560_); trivial. % 1.00/1.22 (* end of lemma zenon_L561_ *) % 1.00/1.22 assert (zenon_L562_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H7b zenon_H84 zenon_H194 zenon_H81 zenon_H241 zenon_H2bb zenon_H147 zenon_H273 zenon_H274 zenon_H275 zenon_H251 zenon_Hdc zenon_Hde zenon_H27e zenon_H12a zenon_Hf9 zenon_H88 zenon_H25 zenon_H151 zenon_Hea zenon_H1d6 zenon_H19b zenon_H19a zenon_H199 zenon_H170 zenon_H1c5 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2db zenon_H2dc zenon_H2dd zenon_H8a zenon_H89 zenon_H2ee zenon_H18c zenon_H191. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L559_); trivial. % 1.00/1.22 apply (zenon_L561_); trivial. % 1.00/1.22 (* end of lemma zenon_L562_ *) % 1.00/1.22 assert (zenon_L563_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18d zenon_H82 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H1 zenon_H34 zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.22 apply (zenon_L132_); trivial. % 1.00/1.22 apply (zenon_L313_); trivial. % 1.00/1.22 (* end of lemma zenon_L563_ *) % 1.00/1.22 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_H26c zenon_H196 zenon_Hea zenon_Hf9 zenon_H2bb zenon_H1d6 zenon_H18c zenon_H125 zenon_H170 zenon_Hfd zenon_H82 zenon_H191 zenon_H12a zenon_H38 zenon_H251 zenon_Hde zenon_Hdc zenon_H2c3 zenon_H34 zenon_Ha9 zenon_H241 zenon_H81 zenon_H84 zenon_He9 zenon_H264 zenon_He2 zenon_He4 zenon_H257 zenon_H256 zenon_H255 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H10f zenon_H6d zenon_H7c zenon_H80 zenon_H1b0 zenon_H53 zenon_Hb5 zenon_Hf zenon_H26b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.22 apply (zenon_L548_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.22 apply (zenon_L338_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_L546_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L310_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.22 apply (zenon_L113_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.22 apply (zenon_L157_); trivial. % 1.00/1.22 apply (zenon_L563_); trivial. % 1.00/1.22 apply (zenon_L326_); trivial. % 1.00/1.22 apply (zenon_L549_); trivial. % 1.00/1.22 apply (zenon_L283_); trivial. % 1.00/1.22 (* end of lemma zenon_L564_ *) % 1.00/1.22 assert (zenon_L565_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (ndr1_0) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H26c zenon_H1b0 zenon_H1ad zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H12a zenon_H38 zenon_H251 zenon_Hde zenon_Hdc zenon_H2c3 zenon_H34 zenon_H1 zenon_Ha9 zenon_H10f zenon_H241 zenon_H81 zenon_H84 zenon_H18 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.22 apply (zenon_L302_); trivial. % 1.00/1.22 apply (zenon_L339_); trivial. % 1.00/1.22 (* end of lemma zenon_L565_ *) % 1.00/1.22 assert (zenon_L566_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_H26c zenon_H1b0 zenon_H1ad zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H12a zenon_H38 zenon_H251 zenon_Hde zenon_Hdc zenon_H2c3 zenon_H34 zenon_Ha9 zenon_H10f zenon_H241 zenon_H81 zenon_H84 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4 zenon_Hf zenon_H53 zenon_Hf9 zenon_H255 zenon_H256 zenon_H257 zenon_H264 zenon_Hea zenon_H80 zenon_H26b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.22 apply (zenon_L565_); trivial. % 1.00/1.22 apply (zenon_L303_); trivial. % 1.00/1.22 apply (zenon_L283_); trivial. % 1.00/1.22 (* end of lemma zenon_L566_ *) % 1.00/1.22 assert (zenon_L567_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Heb zenon_H133 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H201 zenon_H202 zenon_H203 zenon_H2c3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.22 apply (zenon_L372_); trivial. % 1.00/1.22 apply (zenon_L508_); trivial. % 1.00/1.22 (* end of lemma zenon_L567_ *) % 1.00/1.22 assert (zenon_L568_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp14)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H13f zenon_H9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 1.00/1.22 apply (zenon_L27_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 1.00/1.22 apply (zenon_L494_); trivial. % 1.00/1.22 exact (zenon_H9 zenon_Ha). % 1.00/1.22 (* end of lemma zenon_L568_ *) % 1.00/1.22 assert (zenon_L569_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(hskp14)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1549))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H2ee zenon_H9 zenon_H201 zenon_H202 zenon_H203 zenon_H88 zenon_H53 zenon_H2dd zenon_H2dc zenon_H2db zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H8a zenon_H89 zenon_H18 zenon_Hd. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.22 apply (zenon_L568_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.22 apply (zenon_L507_); trivial. % 1.00/1.22 apply (zenon_L554_); trivial. % 1.00/1.22 (* end of lemma zenon_L569_ *) % 1.00/1.22 assert (zenon_L570_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H84 zenon_H81 zenon_H199 zenon_H19a zenon_H19b zenon_H12a zenon_H53 zenon_H9 zenon_H203 zenon_H202 zenon_H201 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2ee. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L569_); trivial. % 1.00/1.22 apply (zenon_L114_); trivial. % 1.00/1.22 (* end of lemma zenon_L570_ *) % 1.00/1.22 assert (zenon_L571_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H191 zenon_H18c zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.22 apply (zenon_L94_); trivial. % 1.00/1.22 apply (zenon_L557_); trivial. % 1.00/1.22 (* end of lemma zenon_L571_ *) % 1.00/1.22 assert (zenon_L572_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H6c zenon_He9 zenon_H133 zenon_H2e4 zenon_H28e zenon_H2c3 zenon_H158 zenon_H101 zenon_H100 zenon_H112 zenon_H8a zenon_H89 zenon_H88 zenon_Ha8 zenon_H2ce zenon_H25 zenon_H93 zenon_H170 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H203 zenon_H202 zenon_H201 zenon_H24f zenon_H18c zenon_H82 zenon_H191. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.22 apply (zenon_L94_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.22 apply (zenon_L376_); trivial. % 1.00/1.22 apply (zenon_L536_); trivial. % 1.00/1.22 apply (zenon_L567_); trivial. % 1.00/1.22 (* end of lemma zenon_L572_ *) % 1.00/1.22 assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H195 zenon_H80 zenon_He9 zenon_H133 zenon_H2e4 zenon_H28e zenon_H2c3 zenon_Ha8 zenon_H2ce zenon_H25 zenon_H93 zenon_H24f zenon_H82 zenon_H158 zenon_H170 zenon_H1c5 zenon_H18c zenon_H191 zenon_H2ee zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H2dd zenon_H2dc zenon_H2db zenon_H88 zenon_H89 zenon_H8a zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H12a zenon_H19b zenon_H19a zenon_H199 zenon_H81 zenon_H84. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_L570_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L571_); trivial. % 1.00/1.22 apply (zenon_L572_); trivial. % 1.00/1.22 (* end of lemma zenon_L573_ *) % 1.00/1.22 assert (zenon_L574_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H26e zenon_H26c zenon_H1b0 zenon_H2ce zenon_H25 zenon_H24f zenon_H82 zenon_H158 zenon_H84 zenon_H12a zenon_Hf zenon_H53 zenon_H81 zenon_H191 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H1c5 zenon_H170 zenon_H1d6 zenon_Ha8 zenon_Ha4 zenon_H93 zenon_H2c3 zenon_H28e zenon_H2e4 zenon_H133 zenon_He9 zenon_H80 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H21d zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.22 apply (zenon_L529_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_L115_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L559_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.22 apply (zenon_L35_); trivial. % 1.00/1.22 apply (zenon_L567_); trivial. % 1.00/1.22 apply (zenon_L573_); trivial. % 1.00/1.22 (* end of lemma zenon_L574_ *) % 1.00/1.22 assert (zenon_L575_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (~(hskp15)) -> (ndr1_0) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(hskp28)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_Hd zenon_H18 zenon_H89 zenon_H8a zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H2db zenon_H2dc zenon_H2dd zenon_H201 zenon_H202 zenon_H203 zenon_H2ee zenon_H16e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.22 apply (zenon_L95_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.00/1.22 apply (zenon_L494_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.00/1.22 apply (zenon_L507_); trivial. % 1.00/1.22 apply (zenon_L554_); trivial. % 1.00/1.22 exact (zenon_H16e zenon_H16f). % 1.00/1.22 (* end of lemma zenon_L575_ *) % 1.00/1.22 assert (zenon_L576_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H2ee zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H89 zenon_H8a zenon_Hd zenon_H2b2 zenon_H2dd zenon_H2dc zenon_H2db zenon_H203 zenon_H202 zenon_H201 zenon_H170. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.22 apply (zenon_L575_); trivial. % 1.00/1.22 apply (zenon_L131_); trivial. % 1.00/1.22 (* end of lemma zenon_L576_ *) % 1.00/1.22 assert (zenon_L577_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H52 zenon_H18c zenon_H24f zenon_H15b zenon_H15c zenon_H15d zenon_H2ee zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H89 zenon_H8a zenon_Hd zenon_H2b2 zenon_H2dd zenon_H2dc zenon_H2db zenon_H203 zenon_H202 zenon_H201 zenon_H170. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.22 apply (zenon_L575_); trivial. % 1.00/1.22 apply (zenon_L535_); trivial. % 1.00/1.22 (* end of lemma zenon_L577_ *) % 1.00/1.22 assert (zenon_L578_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18d zenon_H82 zenon_H24f zenon_H170 zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2b2 zenon_Hd zenon_H8a zenon_H89 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2ee zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.22 apply (zenon_L576_); trivial. % 1.00/1.22 apply (zenon_L577_); trivial. % 1.00/1.22 (* end of lemma zenon_L578_ *) % 1.00/1.22 assert (zenon_L579_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (ndr1_0) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H191 zenon_H82 zenon_H24f zenon_H170 zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2b2 zenon_Hd zenon_H8a zenon_H89 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2ee zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H18 zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.22 apply (zenon_L157_); trivial. % 1.00/1.22 apply (zenon_L578_); trivial. % 1.00/1.22 (* end of lemma zenon_L579_ *) % 1.00/1.22 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H52 zenon_H18c zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H15b zenon_H15c zenon_H15d zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.22 apply (zenon_L128_); trivial. % 1.00/1.22 apply (zenon_L535_); trivial. % 1.00/1.22 (* end of lemma zenon_L580_ *) % 1.00/1.22 assert (zenon_L581_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18d zenon_H82 zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.22 apply (zenon_L132_); trivial. % 1.00/1.22 apply (zenon_L580_); trivial. % 1.00/1.22 (* end of lemma zenon_L581_ *) % 1.00/1.22 assert (zenon_L582_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.22 apply (zenon_L157_); trivial. % 1.00/1.22 apply (zenon_L581_); trivial. % 1.00/1.22 (* end of lemma zenon_L582_ *) % 1.00/1.22 assert (zenon_L583_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H6c zenon_H81 zenon_H191 zenon_H82 zenon_H24f zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H199 zenon_H19a zenon_H19b zenon_H12a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.22 apply (zenon_L113_); trivial. % 1.00/1.22 apply (zenon_L582_); trivial. % 1.00/1.22 (* end of lemma zenon_L583_ *) % 1.00/1.22 assert (zenon_L584_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1af zenon_H80 zenon_H1d6 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H24f zenon_H82 zenon_H191 zenon_H2ee zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H2dd zenon_H2dc zenon_H2db zenon_H88 zenon_H89 zenon_H8a zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H12a zenon_H81 zenon_H84. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_L570_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L579_); trivial. % 1.00/1.22 apply (zenon_L583_); trivial. % 1.00/1.22 (* end of lemma zenon_L584_ *) % 1.00/1.22 assert (zenon_L585_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H26e zenon_H26c zenon_H80 zenon_H1d6 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H24f zenon_H82 zenon_H191 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H53 zenon_H12a zenon_H81 zenon_H84 zenon_H20a zenon_He2 zenon_H203 zenon_H202 zenon_H201 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H21d zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.22 apply (zenon_L529_); trivial. % 1.00/1.22 apply (zenon_L584_); trivial. % 1.00/1.22 (* end of lemma zenon_L585_ *) % 1.00/1.22 assert (zenon_L586_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H285 zenon_H26b zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H12a zenon_H81 zenon_H84 zenon_H18c zenon_H21d zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H201 zenon_H202 zenon_H203 zenon_He2 zenon_H20a zenon_H82 zenon_H34 zenon_H53 zenon_H125 zenon_H1d6 zenon_H170 zenon_H24f zenon_H191 zenon_H80 zenon_H26c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.22 apply (zenon_L539_); trivial. % 1.00/1.22 apply (zenon_L585_); trivial. % 1.00/1.22 (* end of lemma zenon_L586_ *) % 1.00/1.22 assert (zenon_L587_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (ndr1_0) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((hskp11)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H28a zenon_H18c zenon_H21d zenon_H20a zenon_H82 zenon_H125 zenon_H1d6 zenon_H170 zenon_H24f zenon_H191 zenon_H26c zenon_H1b0 zenon_H1ad zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Ha8 zenon_H1d4 zenon_H93 zenon_Ha9 zenon_H34 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H38 zenon_He9 zenon_H84 zenon_H18 zenon_H292 zenon_H293 zenon_H294 zenon_He2 zenon_He4 zenon_H12a zenon_Hf zenon_H53 zenon_H81 zenon_Hea zenon_H151 zenon_Hf9 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H1ab zenon_H194 zenon_H80 zenon_H26b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.22 apply (zenon_L487_); trivial. % 1.00/1.22 apply (zenon_L521_); trivial. % 1.00/1.22 apply (zenon_L586_); trivial. % 1.00/1.22 (* end of lemma zenon_L587_ *) % 1.00/1.22 assert (zenon_L588_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1539))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1539)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1539)) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H21d zenon_H2dd zenon_H2dc zenon_H2db zenon_H201 zenon_H2ee zenon_H203 zenon_H48 zenon_H202 zenon_H18 zenon_He0. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H214 | zenon_intro zenon_H21e ]. % 1.00/1.22 apply (zenon_L527_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hab | zenon_intro zenon_He1 ]. % 1.00/1.22 apply (zenon_L250_); trivial. % 1.00/1.22 exact (zenon_He0 zenon_He1). % 1.00/1.22 (* end of lemma zenon_L588_ *) % 1.00/1.22 assert (zenon_L589_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H6c zenon_H18c zenon_H6d zenon_H9 zenon_H1eb zenon_H1e9 zenon_H21d zenon_He0 zenon_H202 zenon_H201 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.22 apply (zenon_L456_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.22 apply (zenon_L588_); trivial. % 1.00/1.22 exact (zenon_H16e zenon_H16f). % 1.00/1.22 apply (zenon_L528_); trivial. % 1.00/1.22 (* end of lemma zenon_L589_ *) % 1.00/1.22 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H7b zenon_H18c zenon_H7c zenon_H1 zenon_H1eb zenon_H1e9 zenon_H21d zenon_He0 zenon_H202 zenon_H201 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.00/1.22 apply (zenon_L359_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.00/1.22 apply (zenon_L588_); trivial. % 1.00/1.22 exact (zenon_H16e zenon_H16f). % 1.00/1.22 apply (zenon_L528_); trivial. % 1.00/1.22 (* end of lemma zenon_L590_ *) % 1.00/1.22 assert (zenon_L591_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1545))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H85 zenon_H82 zenon_H53 zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H203 zenon_H201 zenon_H202 zenon_H112 zenon_H100 zenon_H101 zenon_H24f zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_Hd3 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H25 zenon_H27 zenon_H1ea zenon_H1 zenon_H34 zenon_H38 zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.22 apply (zenon_L459_); trivial. % 1.00/1.22 apply (zenon_L20_); trivial. % 1.00/1.22 (* end of lemma zenon_L591_ *) % 1.00/1.22 assert (zenon_L592_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H26c zenon_H1b0 zenon_H191 zenon_H2ce zenon_H1d6 zenon_H12a zenon_H24f zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H53 zenon_H82 zenon_H81 zenon_Ha9 zenon_H84 zenon_H18c zenon_H6d zenon_H21d zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H1 zenon_H34 zenon_H38 zenon_H7c zenon_H80. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L455_); trivial. % 1.00/1.22 apply (zenon_L589_); trivial. % 1.00/1.22 apply (zenon_L590_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.00/1.22 apply (zenon_L453_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L455_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.22 apply (zenon_L113_); trivial. % 1.00/1.22 apply (zenon_L591_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L455_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.22 apply (zenon_L113_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.22 apply (zenon_L157_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.22 apply (zenon_L465_); trivial. % 1.00/1.22 apply (zenon_L580_); trivial. % 1.00/1.22 (* end of lemma zenon_L592_ *) % 1.00/1.22 assert (zenon_L593_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H26c zenon_H191 zenon_H24f zenon_H1d6 zenon_H12a zenon_H84 zenon_H6d zenon_H21d zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_Hf zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H147 zenon_H1c5 zenon_H294 zenon_H292 zenon_H293 zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H1eb zenon_H1e9 zenon_H170 zenon_H34 zenon_H1 zenon_H82 zenon_H81 zenon_H7c zenon_H80. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L499_); trivial. % 1.00/1.22 apply (zenon_L589_); trivial. % 1.00/1.22 apply (zenon_L590_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.00/1.22 apply (zenon_L503_); trivial. % 1.00/1.22 apply (zenon_L538_); trivial. % 1.00/1.22 (* end of lemma zenon_L593_ *) % 1.00/1.22 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((hskp1)\/(hskp28))) -> (~(hskp1)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H285 zenon_H26b zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H20a zenon_He2 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H147 zenon_H125 zenon_H18c zenon_Hf zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H21d zenon_H6d zenon_H84 zenon_H12a zenon_H1d6 zenon_H24f zenon_H191 zenon_H26c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.00/1.22 apply (zenon_L593_); trivial. % 1.00/1.22 apply (zenon_L585_); trivial. % 1.00/1.22 (* end of lemma zenon_L594_ *) % 1.00/1.22 assert (zenon_L595_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c2_1 (a1581)) -> (~(c3_1 (a1581))) -> (~(c1_1 (a1581))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H264 zenon_H63 zenon_H65 zenon_H64 zenon_H111 zenon_Hc5 zenon_Hc4 zenon_Hc2 zenon_H18 zenon_H262. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.00/1.22 generalize (zenon_H24b (a1565)). zenon_intro zenon_H2f6. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H2f6); [ zenon_intro zenon_H17 | zenon_intro zenon_H2f7 ]. % 1.00/1.22 exact (zenon_H17 zenon_H18). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H1cc | zenon_intro zenon_H2f8 ]. % 1.00/1.22 apply (zenon_L145_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ]. % 1.00/1.22 exact (zenon_H63 zenon_H69). % 1.00/1.22 exact (zenon_H6a zenon_H65). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.00/1.22 apply (zenon_L88_); trivial. % 1.00/1.22 exact (zenon_H262 zenon_H263). % 1.00/1.22 (* end of lemma zenon_L595_ *) % 1.00/1.22 assert (zenon_L596_ : (forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H2f9 zenon_H18 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.00/1.22 generalize (zenon_H2f9 (a1534)). zenon_intro zenon_H2fd. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H2fd); [ zenon_intro zenon_H17 | zenon_intro zenon_H2fe ]. % 1.00/1.22 exact (zenon_H17 zenon_H18). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H300 | zenon_intro zenon_H2ff ]. % 1.00/1.22 exact (zenon_H2fa zenon_H300). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H302 | zenon_intro zenon_H301 ]. % 1.00/1.22 exact (zenon_H302 zenon_H2fb). % 1.00/1.22 exact (zenon_H301 zenon_H2fc). % 1.00/1.22 (* end of lemma zenon_L596_ *) % 1.00/1.22 assert (zenon_L597_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H84 zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H262 zenon_H264 zenon_H147 zenon_H38 zenon_Hb5 zenon_Ha1 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L29_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.22 apply (zenon_L214_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.22 apply (zenon_L40_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.00/1.22 apply (zenon_L405_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.00/1.22 apply (zenon_L595_); trivial. % 1.00/1.22 apply (zenon_L596_); trivial. % 1.00/1.22 (* end of lemma zenon_L597_ *) % 1.00/1.22 assert (zenon_L598_ : (forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88)))))) -> (ndr1_0) -> (~(c3_1 (a1534))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H153 zenon_H18 zenon_H2fa zenon_Hc1 zenon_H2fb zenon_H2fc. % 1.00/1.22 generalize (zenon_H153 (a1534)). zenon_intro zenon_H305. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H305); [ zenon_intro zenon_H17 | zenon_intro zenon_H306 ]. % 1.00/1.22 exact (zenon_H17 zenon_H18). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H300 | zenon_intro zenon_H307 ]. % 1.00/1.22 exact (zenon_H2fa zenon_H300). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H308 | zenon_intro zenon_H301 ]. % 1.00/1.22 generalize (zenon_Hc1 (a1534)). zenon_intro zenon_H309. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H309); [ zenon_intro zenon_H17 | zenon_intro zenon_H30a ]. % 1.00/1.22 exact (zenon_H17 zenon_H18). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H30b | zenon_intro zenon_H2ff ]. % 1.00/1.22 exact (zenon_H308 zenon_H30b). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H302 | zenon_intro zenon_H301 ]. % 1.00/1.22 exact (zenon_H302 zenon_H2fb). % 1.00/1.22 exact (zenon_H301 zenon_H2fc). % 1.00/1.22 exact (zenon_H301 zenon_H2fc). % 1.00/1.22 (* end of lemma zenon_L598_ *) % 1.00/1.22 assert (zenon_L599_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (~(c3_1 (a1534))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H2fc zenon_H2fb zenon_Hc1 zenon_H2fa zenon_H18 zenon_H156. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H3c | zenon_intro zenon_H159 ]. % 1.00/1.22 apply (zenon_L27_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H153 | zenon_intro zenon_H157 ]. % 1.00/1.22 apply (zenon_L598_); trivial. % 1.00/1.22 exact (zenon_H156 zenon_H157). % 1.00/1.22 (* end of lemma zenon_L599_ *) % 1.00/1.22 assert (zenon_L600_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d6 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H88 zenon_H89 zenon_H8a zenon_H158 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H156. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d7 ]. % 1.00/1.22 apply (zenon_L599_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H71 | zenon_intro zenon_H157 ]. % 1.00/1.22 apply (zenon_L24_); trivial. % 1.00/1.22 exact (zenon_H156 zenon_H157). % 1.00/1.22 (* end of lemma zenon_L600_ *) % 1.00/1.22 assert (zenon_L601_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16)))))) -> (~(c1_1 (a1549))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H30c zenon_H8a zenon_H89 zenon_Hd5 zenon_H88 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H18 zenon_H91. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_Hee | zenon_intro zenon_H30d ]. % 1.00/1.22 apply (zenon_L56_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H92 ]. % 1.00/1.22 apply (zenon_L596_); trivial. % 1.00/1.22 exact (zenon_H91 zenon_H92). % 1.00/1.22 (* end of lemma zenon_L601_ *) % 1.00/1.22 assert (zenon_L602_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a1534)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hff zenon_H18 zenon_H2fb zenon_Hb7 zenon_H2fa zenon_H2fc. % 1.00/1.22 generalize (zenon_Hff (a1534)). zenon_intro zenon_H30e. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H30e); [ zenon_intro zenon_H17 | zenon_intro zenon_H30f ]. % 1.00/1.22 exact (zenon_H17 zenon_H18). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H302 | zenon_intro zenon_H307 ]. % 1.00/1.22 exact (zenon_H302 zenon_H2fb). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H308 | zenon_intro zenon_H301 ]. % 1.00/1.22 generalize (zenon_Hb7 (a1534)). zenon_intro zenon_H310. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H310); [ zenon_intro zenon_H17 | zenon_intro zenon_H311 ]. % 1.00/1.22 exact (zenon_H17 zenon_H18). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H30b | zenon_intro zenon_H312 ]. % 1.00/1.22 exact (zenon_H308 zenon_H30b). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H300 | zenon_intro zenon_H302 ]. % 1.00/1.22 exact (zenon_H2fa zenon_H300). % 1.00/1.22 exact (zenon_H302 zenon_H2fb). % 1.00/1.22 exact (zenon_H301 zenon_H2fc). % 1.00/1.22 (* end of lemma zenon_L602_ *) % 1.00/1.22 assert (zenon_L603_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55)))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (c0_1 (a1534)) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H230 zenon_H74 zenon_H72 zenon_H62 zenon_H2fc zenon_H2fa zenon_Hb7 zenon_H2fb zenon_H18 zenon_H172 zenon_H173 zenon_H174. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.00/1.22 apply (zenon_L188_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.00/1.22 apply (zenon_L602_); trivial. % 1.00/1.22 apply (zenon_L130_); trivial. % 1.00/1.22 (* end of lemma zenon_L603_ *) % 1.00/1.22 assert (zenon_L604_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp19)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (ndr1_0) -> (c0_1 (a1534)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hfd zenon_H91 zenon_H88 zenon_H89 zenon_H8a zenon_H30c zenon_H174 zenon_H173 zenon_H172 zenon_H18 zenon_H2fb zenon_Hb7 zenon_H2fa zenon_H2fc zenon_H72 zenon_H74 zenon_H230 zenon_Hfb. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.00/1.22 apply (zenon_L601_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.00/1.22 apply (zenon_L603_); trivial. % 1.00/1.22 exact (zenon_Hfb zenon_Hfc). % 1.00/1.22 (* end of lemma zenon_L604_ *) % 1.00/1.22 assert (zenon_L605_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (c0_1 (a1562)) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hde zenon_H73 zenon_H74 zenon_H72 zenon_H97 zenon_H118 zenon_H117 zenon_Hc1 zenon_H119 zenon_H18 zenon_Hdc. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H48 | zenon_intro zenon_Hdf ]. % 1.00/1.22 apply (zenon_L97_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 1.00/1.22 apply (zenon_L72_); trivial. % 1.00/1.22 exact (zenon_Hdc zenon_Hdd). % 1.00/1.22 (* end of lemma zenon_L605_ *) % 1.00/1.22 assert (zenon_L606_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp15)) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H83 zenon_H18c zenon_H133 zenon_H1ab zenon_Hfd zenon_Hfb zenon_H230 zenon_Hde zenon_Hdc zenon_H16c zenon_H2fa zenon_H2fb zenon_H2fc zenon_H91 zenon_H30c zenon_H180 zenon_H182 zenon_H181 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_Hd zenon_H10d zenon_H2a3 zenon_H15b zenon_H15c zenon_H15d zenon_H2ce zenon_H25 zenon_H73 zenon_H74 zenon_H72 zenon_H170 zenon_H11 zenon_H3 zenon_H13. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 1.00/1.22 apply (zenon_L9_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.22 apply (zenon_L434_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.00/1.22 apply (zenon_L306_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.22 apply (zenon_L405_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.22 apply (zenon_L601_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.00/1.22 apply (zenon_L11_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.00/1.22 apply (zenon_L604_); trivial. % 1.00/1.22 apply (zenon_L605_); trivial. % 1.00/1.22 (* end of lemma zenon_L606_ *) % 1.00/1.22 assert (zenon_L607_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp15)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp17)) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp16)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H189 zenon_Hfd zenon_Hd zenon_H88 zenon_H89 zenon_H8a zenon_H1ca zenon_H1d8 zenon_H56 zenon_H3d zenon_H3b zenon_H230 zenon_H74 zenon_H72 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1da zenon_Hfb. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.00/1.23 apply (zenon_L140_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 1.00/1.23 apply (zenon_L603_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 1.00/1.23 apply (zenon_L139_); trivial. % 1.00/1.23 exact (zenon_H1d8 zenon_H1d9). % 1.00/1.23 exact (zenon_Hfb zenon_Hfc). % 1.00/1.23 (* end of lemma zenon_L607_ *) % 1.00/1.23 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H52 zenon_H18c zenon_Hfd zenon_Hfb zenon_H230 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1d8 zenon_H1da zenon_H88 zenon_H89 zenon_H8a zenon_H1ca zenon_H15b zenon_H15c zenon_H15d zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.23 apply (zenon_L137_); trivial. % 1.00/1.23 apply (zenon_L607_); trivial. % 1.00/1.23 (* end of lemma zenon_L608_ *) % 1.00/1.23 assert (zenon_L609_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> (~(c0_1 (a1572))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H191 zenon_H82 zenon_H1d8 zenon_H1da zenon_H1ca zenon_H1c5 zenon_H13 zenon_H3 zenon_H170 zenon_H25 zenon_H2ce zenon_H2a3 zenon_H10d zenon_Hd zenon_H147 zenon_H181 zenon_H182 zenon_H180 zenon_H30c zenon_H91 zenon_H16c zenon_Hdc zenon_Hde zenon_H230 zenon_Hfb zenon_Hfd zenon_H1ab zenon_H133 zenon_H18c zenon_H83 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.23 apply (zenon_L600_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.23 apply (zenon_L606_); trivial. % 1.00/1.23 apply (zenon_L608_); trivial. % 1.00/1.23 (* end of lemma zenon_L609_ *) % 1.00/1.23 assert (zenon_L610_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a1534)) -> (c1_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hff zenon_H18 zenon_H2fb zenon_H30b zenon_H2fc. % 1.00/1.23 generalize (zenon_Hff (a1534)). zenon_intro zenon_H30e. % 1.00/1.23 apply (zenon_imply_s _ _ zenon_H30e); [ zenon_intro zenon_H17 | zenon_intro zenon_H30f ]. % 1.00/1.23 exact (zenon_H17 zenon_H18). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H302 | zenon_intro zenon_H307 ]. % 1.00/1.23 exact (zenon_H302 zenon_H2fb). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H308 | zenon_intro zenon_H301 ]. % 1.00/1.23 exact (zenon_H308 zenon_H30b). % 1.00/1.23 exact (zenon_H301 zenon_H2fc). % 1.00/1.23 (* end of lemma zenon_L610_ *) % 1.00/1.23 assert (zenon_L611_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hc1 zenon_H18 zenon_Hff zenon_H2fb zenon_H2fc. % 1.00/1.23 generalize (zenon_Hc1 (a1534)). zenon_intro zenon_H309. % 1.00/1.23 apply (zenon_imply_s _ _ zenon_H309); [ zenon_intro zenon_H17 | zenon_intro zenon_H30a ]. % 1.00/1.23 exact (zenon_H17 zenon_H18). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H30b | zenon_intro zenon_H2ff ]. % 1.00/1.23 apply (zenon_L610_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H302 | zenon_intro zenon_H301 ]. % 1.00/1.23 exact (zenon_H302 zenon_H2fb). % 1.00/1.23 exact (zenon_H301 zenon_H2fc). % 1.00/1.23 (* end of lemma zenon_L611_ *) % 1.00/1.23 assert (zenon_L612_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H2fc zenon_H2fb zenon_Hff zenon_H18 zenon_H58 zenon_H172 zenon_H173 zenon_H174. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 1.00/1.23 apply (zenon_L41_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 1.00/1.23 apply (zenon_L611_); trivial. % 1.00/1.23 apply (zenon_L101_); trivial. % 1.00/1.23 (* end of lemma zenon_L612_ *) % 1.00/1.23 assert (zenon_L613_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hee zenon_H18 zenon_Hab zenon_H181 zenon_H182. % 1.00/1.23 generalize (zenon_Hee (a1572)). zenon_intro zenon_H313. % 1.00/1.23 apply (zenon_imply_s _ _ zenon_H313); [ zenon_intro zenon_H17 | zenon_intro zenon_H314 ]. % 1.00/1.23 exact (zenon_H17 zenon_H18). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1aa | zenon_intro zenon_H185 ]. % 1.00/1.23 generalize (zenon_Hab (a1572)). zenon_intro zenon_H315. % 1.00/1.23 apply (zenon_imply_s _ _ zenon_H315); [ zenon_intro zenon_H17 | zenon_intro zenon_H316 ]. % 1.00/1.23 exact (zenon_H17 zenon_H18). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H185 ]. % 1.00/1.23 exact (zenon_H1a6 zenon_H1aa). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ]. % 1.00/1.23 exact (zenon_H188 zenon_H181). % 1.00/1.23 exact (zenon_H187 zenon_H182). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ]. % 1.00/1.23 exact (zenon_H188 zenon_H181). % 1.00/1.23 exact (zenon_H187 zenon_H182). % 1.00/1.23 (* end of lemma zenon_L613_ *) % 1.00/1.23 assert (zenon_L614_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp16)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hfd zenon_H88 zenon_H89 zenon_H8a zenon_Hd zenon_H18 zenon_H56 zenon_H3d zenon_H3b zenon_H230 zenon_H74 zenon_H72 zenon_H174 zenon_H173 zenon_H172 zenon_H58 zenon_H2fb zenon_H2fc zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H181 zenon_H182 zenon_H1ca zenon_Hfb. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.00/1.23 apply (zenon_L140_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hee | zenon_intro zenon_H1cb ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.00/1.23 apply (zenon_L188_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.00/1.23 apply (zenon_L612_); trivial. % 1.00/1.23 apply (zenon_L613_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c7 | zenon_intro zenon_He ]. % 1.00/1.23 apply (zenon_L139_); trivial. % 1.00/1.23 exact (zenon_Hd zenon_He). % 1.00/1.23 exact (zenon_Hfb zenon_Hfc). % 1.00/1.23 (* end of lemma zenon_L614_ *) % 1.00/1.23 assert (zenon_L615_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1593)) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H189 zenon_H147 zenon_Hfb zenon_H1ca zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H2fc zenon_H2fb zenon_H72 zenon_H74 zenon_H230 zenon_H3b zenon_H3d zenon_H56 zenon_Hd zenon_Hfd zenon_H182 zenon_H181 zenon_H180 zenon_H88 zenon_H89 zenon_H8a. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.00/1.23 apply (zenon_L614_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.00/1.23 apply (zenon_L103_); trivial. % 1.00/1.23 apply (zenon_L27_); trivial. % 1.00/1.23 (* end of lemma zenon_L615_ *) % 1.00/1.23 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1572))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Heb zenon_H191 zenon_Hea zenon_H82 zenon_H18c zenon_H147 zenon_H180 zenon_H1ca zenon_H181 zenon_H182 zenon_H230 zenon_Hfb zenon_Hfd zenon_H1c5 zenon_Hd zenon_H170 zenon_H13 zenon_H3 zenon_Ha9 zenon_Ha1 zenon_Hd1 zenon_Hd3 zenon_H38 zenon_H83 zenon_Hf9 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.23 apply (zenon_L600_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.23 apply (zenon_L59_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.23 apply (zenon_L45_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.00/1.23 apply (zenon_L137_); trivial. % 1.00/1.23 apply (zenon_L615_); trivial. % 1.00/1.23 (* end of lemma zenon_L616_ *) % 1.00/1.23 assert (zenon_L617_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> (~(c3_1 (a1534))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp15)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H52 zenon_H1ab zenon_H1de zenon_H1dd zenon_H1dc zenon_H2fa zenon_H88 zenon_H89 zenon_H8a zenon_H30c zenon_H1ca zenon_Ha1 zenon_H91 zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_H2fc zenon_H2fb zenon_H181 zenon_H182 zenon_Ha4 zenon_Hd. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ac ]. % 1.00/1.23 apply (zenon_L163_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc1 ]. % 1.00/1.23 apply (zenon_L601_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hee | zenon_intro zenon_H1cb ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha7 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.00/1.23 apply (zenon_L97_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.00/1.23 apply (zenon_L611_); trivial. % 1.00/1.23 apply (zenon_L613_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha2 ]. % 1.00/1.23 exact (zenon_H91 zenon_H92). % 1.00/1.23 exact (zenon_Ha1 zenon_Ha2). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c7 | zenon_intro zenon_He ]. % 1.00/1.23 apply (zenon_L139_); trivial. % 1.00/1.23 exact (zenon_Hd zenon_He). % 1.00/1.23 (* end of lemma zenon_L617_ *) % 1.00/1.23 assert (zenon_L618_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp15)) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1e5 zenon_H194 zenon_He9 zenon_H1c5 zenon_Ha9 zenon_Hd1 zenon_Hd3 zenon_H38 zenon_H1d6 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H83 zenon_H18c zenon_H133 zenon_H1ab zenon_Hfd zenon_Hfb zenon_H230 zenon_Hde zenon_Hdc zenon_H16c zenon_H30c zenon_H147 zenon_Hd zenon_H10d zenon_H2a3 zenon_H2ce zenon_H170 zenon_H3 zenon_H13 zenon_H1ca zenon_Ha1 zenon_Ha4 zenon_H82 zenon_H191 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.23 apply (zenon_L91_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.23 apply (zenon_L600_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.23 apply (zenon_L606_); trivial. % 1.00/1.23 apply (zenon_L617_); trivial. % 1.00/1.23 apply (zenon_L616_); trivial. % 1.00/1.23 (* end of lemma zenon_L618_ *) % 1.00/1.23 assert (zenon_L619_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H30c zenon_H136 zenon_H135 zenon_H134 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H18 zenon_H91. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_Hee | zenon_intro zenon_H30d ]. % 1.00/1.23 apply (zenon_L80_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H92 ]. % 1.00/1.23 apply (zenon_L596_); trivial. % 1.00/1.23 exact (zenon_H91 zenon_H92). % 1.00/1.23 (* end of lemma zenon_L619_ *) % 1.00/1.23 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> (~(hskp15)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H52 zenon_H1ca zenon_H136 zenon_H135 zenon_H134 zenon_Hd. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hee | zenon_intro zenon_H1cb ]. % 1.00/1.23 apply (zenon_L80_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c7 | zenon_intro zenon_He ]. % 1.00/1.23 apply (zenon_L139_); trivial. % 1.00/1.23 exact (zenon_Hd zenon_He). % 1.00/1.23 (* end of lemma zenon_L620_ *) % 1.00/1.23 assert (zenon_L621_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H149 zenon_H194 zenon_He9 zenon_H191 zenon_H82 zenon_H1ca zenon_Hd zenon_H13 zenon_H3 zenon_H170 zenon_H16c zenon_H147 zenon_Hdc zenon_Hde zenon_H18c zenon_H83 zenon_H158 zenon_H1d6 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.23 apply (zenon_L91_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.23 apply (zenon_L619_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.00/1.23 apply (zenon_L600_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.23 apply (zenon_L107_); trivial. % 1.00/1.23 apply (zenon_L620_); trivial. % 1.00/1.23 (* end of lemma zenon_L621_ *) % 1.00/1.23 assert (zenon_L622_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H18d zenon_H82 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H13 zenon_H3 zenon_H170 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H72 zenon_H74 zenon_H73 zenon_H16c zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_H182 zenon_H181 zenon_H180 zenon_Hdc zenon_Hde zenon_H18c zenon_H83. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.23 apply (zenon_L107_); trivial. % 1.00/1.23 apply (zenon_L151_); trivial. % 1.00/1.23 (* end of lemma zenon_L622_ *) % 1.00/1.23 assert (zenon_L623_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c3_1 (a1566)) -> (~(c1_1 (a1566))) -> (~(c0_1 (a1572))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp9)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.00/1.23 do 0 intro. intros zenon_He6 zenon_H303 zenon_H136 zenon_H134 zenon_H180 zenon_H181 zenon_H182 zenon_H147 zenon_H262 zenon_H64 zenon_H65 zenon_H63 zenon_H264 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.00/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.00/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.00/1.23 apply (zenon_L216_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.00/1.23 apply (zenon_L595_); trivial. % 1.00/1.23 apply (zenon_L596_); trivial. % 1.00/1.23 (* end of lemma zenon_L623_ *) % 1.00/1.23 assert (zenon_L624_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H149 zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H64 zenon_H65 zenon_H63 zenon_H262 zenon_H264 zenon_H147 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.00/1.23 apply (zenon_L91_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.00/1.23 apply (zenon_L59_); trivial. % 1.00/1.23 apply (zenon_L623_); trivial. % 1.00/1.23 (* end of lemma zenon_L624_ *) % 1.00/1.23 assert (zenon_L625_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp19)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hfd zenon_H91 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H88 zenon_H89 zenon_H8a zenon_H30c zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hfb. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.00/1.23 apply (zenon_L601_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.00/1.23 apply (zenon_L22_); trivial. % 1.00/1.23 exact (zenon_Hfb zenon_Hfc). % 1.00/1.23 (* end of lemma zenon_L625_ *) % 1.00/1.23 assert (zenon_L626_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H82 zenon_H1da zenon_H1d8 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H3 zenon_H13d zenon_Hd1 zenon_Hb zenon_H12a zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H6d zenon_H9 zenon_H12c zenon_H12f zenon_H133. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.00/1.23 apply (zenon_L227_); trivial. % 1.00/1.23 apply (zenon_L159_); trivial. % 1.00/1.23 (* end of lemma zenon_L626_ *) % 1.00/1.23 assert (zenon_L627_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.00/1.23 do 0 intro. intros zenon_He9 zenon_H81 zenon_H53 zenon_H133 zenon_H12f zenon_H12c zenon_H9 zenon_H6d zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hd1 zenon_H13d zenon_H3 zenon_H1d8 zenon_H1da zenon_H82 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 1.00/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.00/1.23 apply (zenon_L625_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.00/1.23 apply (zenon_L626_); trivial. % 1.00/1.23 apply (zenon_L28_); trivial. % 1.00/1.23 (* end of lemma zenon_L627_ *) % 1.00/1.23 assert (zenon_L628_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1e5 zenon_H303 zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H2fa zenon_H2fb zenon_H2fc. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.09/1.23 apply (zenon_L163_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.09/1.23 apply (zenon_L423_); trivial. % 1.09/1.23 apply (zenon_L596_); trivial. % 1.09/1.23 (* end of lemma zenon_L628_ *) % 1.09/1.23 assert (zenon_L629_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H82 zenon_H1da zenon_H1d8 zenon_H13d zenon_H3 zenon_H136 zenon_H135 zenon_H134 zenon_H18 zenon_Hd1 zenon_H63 zenon_H64 zenon_H65 zenon_Hb zenon_H12a zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H133. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.23 apply (zenon_L85_); trivial. % 1.09/1.23 apply (zenon_L159_); trivial. % 1.09/1.23 (* end of lemma zenon_L629_ *) % 1.09/1.23 assert (zenon_L630_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H6d zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H82 zenon_H1da zenon_H13d zenon_H3 zenon_Hd1 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H133 zenon_H9 zenon_H53 zenon_H81 zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L619_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.23 apply (zenon_L629_); trivial. % 1.09/1.23 apply (zenon_L28_); trivial. % 1.09/1.23 apply (zenon_L628_); trivial. % 1.09/1.23 (* end of lemma zenon_L630_ *) % 1.09/1.23 assert (zenon_L631_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H84 zenon_H196 zenon_H147 zenon_He9 zenon_H133 zenon_H12f zenon_H12c zenon_H6d zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hd1 zenon_H13d zenon_H3 zenon_H1da zenon_H82 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.23 apply (zenon_L29_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.23 apply (zenon_L627_); trivial. % 1.09/1.23 apply (zenon_L628_); trivial. % 1.09/1.23 apply (zenon_L630_); trivial. % 1.09/1.23 (* end of lemma zenon_L631_ *) % 1.09/1.23 assert (zenon_L632_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H190 zenon_H303 zenon_H8a zenon_H89 zenon_H88 zenon_H112 zenon_H100 zenon_H101 zenon_H147 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.09/1.23 apply (zenon_L405_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.09/1.23 apply (zenon_L278_); trivial. % 1.09/1.23 apply (zenon_L596_); trivial. % 1.09/1.23 (* end of lemma zenon_L632_ *) % 1.09/1.23 assert (zenon_L633_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H7b zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H112 zenon_H100 zenon_H101 zenon_H147 zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.09/1.23 apply (zenon_L91_); trivial. % 1.09/1.23 apply (zenon_L632_); trivial. % 1.09/1.23 (* end of lemma zenon_L633_ *) % 1.09/1.23 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H3 zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H84. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.23 apply (zenon_L631_); trivial. % 1.09/1.23 apply (zenon_L633_); trivial. % 1.09/1.23 (* end of lemma zenon_L634_ *) % 1.09/1.23 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H26e zenon_H1b0 zenon_H81 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H3 zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H84 zenon_H194 zenon_H27c zenon_H25e zenon_H275 zenon_H274 zenon_H273 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf9 zenon_H80. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.09/1.23 apply (zenon_L275_); trivial. % 1.09/1.23 apply (zenon_L634_); trivial. % 1.09/1.23 (* end of lemma zenon_L635_ *) % 1.09/1.23 assert (zenon_L636_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H1da zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H194 zenon_H27c zenon_H25e zenon_Hb5 zenon_Ha9 zenon_H151 zenon_Hea zenon_Hf9 zenon_H5 zenon_H3 zenon_H84 zenon_H6d zenon_Hf zenon_H83 zenon_H38 zenon_H34 zenon_H25 zenon_H27 zenon_H13 zenon_H53 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.23 apply (zenon_L201_); trivial. % 1.09/1.23 apply (zenon_L635_); trivial. % 1.09/1.23 (* end of lemma zenon_L636_ *) % 1.09/1.23 assert (zenon_L637_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp21)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H12a zenon_H156 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H88 zenon_H89 zenon_H8a zenon_H158 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hb. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12b ]. % 1.09/1.23 apply (zenon_L599_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H62 | zenon_intro zenon_Hc ]. % 1.09/1.23 apply (zenon_L22_); trivial. % 1.09/1.23 exact (zenon_Hb zenon_Hc). % 1.09/1.23 (* end of lemma zenon_L637_ *) % 1.09/1.23 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (~(hskp23)) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp28)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H33 zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H11 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H16e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.09/1.23 apply (zenon_L95_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H111 | zenon_intro zenon_H126 ]. % 1.09/1.23 apply (zenon_L129_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hab | zenon_intro zenon_H12 ]. % 1.09/1.23 apply (zenon_L37_); trivial. % 1.09/1.23 exact (zenon_H11 zenon_H12). % 1.09/1.23 exact (zenon_H16e zenon_H16f). % 1.09/1.23 (* end of lemma zenon_L638_ *) % 1.09/1.23 assert (zenon_L639_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H18c zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H38. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.09/1.23 apply (zenon_L36_); trivial. % 1.09/1.23 apply (zenon_L638_); trivial. % 1.09/1.23 apply (zenon_L131_); trivial. % 1.09/1.23 (* end of lemma zenon_L639_ *) % 1.09/1.23 assert (zenon_L640_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1da zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H38 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H18c. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.23 apply (zenon_L639_); trivial. % 1.09/1.23 apply (zenon_L159_); trivial. % 1.09/1.23 (* end of lemma zenon_L640_ *) % 1.09/1.23 assert (zenon_L641_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H38 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_Ha1 zenon_Ha9 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hb zenon_H12a. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.23 apply (zenon_L637_); trivial. % 1.09/1.23 apply (zenon_L640_); trivial. % 1.09/1.23 (* end of lemma zenon_L641_ *) % 1.09/1.23 assert (zenon_L642_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Heb zenon_H81 zenon_H53 zenon_H9 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_Ha9 zenon_Ha1 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H38 zenon_H1d8 zenon_H1da zenon_H82 zenon_H191. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.23 apply (zenon_L641_); trivial. % 1.09/1.23 apply (zenon_L28_); trivial. % 1.09/1.23 (* end of lemma zenon_L642_ *) % 1.09/1.23 assert (zenon_L643_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1e5 zenon_H303 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.09/1.23 apply (zenon_L163_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.09/1.23 apply (zenon_L129_); trivial. % 1.09/1.23 apply (zenon_L596_); trivial. % 1.09/1.23 (* end of lemma zenon_L643_ *) % 1.09/1.23 assert (zenon_L644_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H191 zenon_H82 zenon_H1da zenon_H38 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_Ha1 zenon_Ha9 zenon_H18c zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H9 zenon_H53 zenon_H81 zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L619_); trivial. % 1.09/1.23 apply (zenon_L642_); trivial. % 1.09/1.23 apply (zenon_L643_); trivial. % 1.09/1.23 (* end of lemma zenon_L644_ *) % 1.09/1.23 assert (zenon_L645_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_Ha1 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.23 apply (zenon_L29_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L625_); trivial. % 1.09/1.23 apply (zenon_L642_); trivial. % 1.09/1.23 apply (zenon_L643_); trivial. % 1.09/1.23 apply (zenon_L644_); trivial. % 1.09/1.23 (* end of lemma zenon_L645_ *) % 1.09/1.23 assert (zenon_L646_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H18d zenon_H82 zenon_Hfd zenon_Hfb zenon_H230 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1d8 zenon_H1da zenon_H88 zenon_H89 zenon_H8a zenon_H1ca zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_Hd zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.23 apply (zenon_L138_); trivial. % 1.09/1.23 apply (zenon_L608_); trivial. % 1.09/1.23 (* end of lemma zenon_L646_ *) % 1.09/1.23 assert (zenon_L647_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_Hd zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.23 apply (zenon_L600_); trivial. % 1.09/1.23 apply (zenon_L160_); trivial. % 1.09/1.23 (* end of lemma zenon_L647_ *) % 1.09/1.23 assert (zenon_L648_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H88 zenon_H89 zenon_H8a zenon_H158 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1c5 zenon_Hd zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L619_); trivial. % 1.09/1.23 apply (zenon_L647_); trivial. % 1.09/1.23 apply (zenon_L643_); trivial. % 1.09/1.23 (* end of lemma zenon_L648_ *) % 1.09/1.23 assert (zenon_L649_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (c0_1 (a1534)) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H230 zenon_H4b zenon_H4a zenon_H49 zenon_H2fc zenon_H2fa zenon_Hb7 zenon_H2fb zenon_H18 zenon_H172 zenon_H173 zenon_H174. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.09/1.23 apply (zenon_L19_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.09/1.23 apply (zenon_L602_); trivial. % 1.09/1.23 apply (zenon_L130_); trivial. % 1.09/1.23 (* end of lemma zenon_L649_ *) % 1.09/1.23 assert (zenon_L650_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H52 zenon_H18c zenon_H1da zenon_H1d8 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H15b zenon_H15c zenon_H15d zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.23 apply (zenon_L128_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 1.09/1.23 apply (zenon_L649_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 1.09/1.23 apply (zenon_L139_); trivial. % 1.09/1.23 exact (zenon_H1d8 zenon_H1d9). % 1.09/1.23 (* end of lemma zenon_L650_ *) % 1.09/1.23 assert (zenon_L651_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1da zenon_H1d8 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.23 apply (zenon_L132_); trivial. % 1.09/1.23 apply (zenon_L650_); trivial. % 1.09/1.23 (* end of lemma zenon_L651_ *) % 1.09/1.23 assert (zenon_L652_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H230 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.23 apply (zenon_L600_); trivial. % 1.09/1.23 apply (zenon_L651_); trivial. % 1.09/1.23 (* end of lemma zenon_L652_ *) % 1.09/1.23 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Heb zenon_H81 zenon_H230 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_Ha9 zenon_Ha1 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H38 zenon_H1d8 zenon_H1da zenon_H82 zenon_H191. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.23 apply (zenon_L641_); trivial. % 1.09/1.23 apply (zenon_L652_); trivial. % 1.09/1.23 (* end of lemma zenon_L653_ *) % 1.09/1.23 assert (zenon_L654_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1e8 zenon_H303 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H191 zenon_H82 zenon_H1da zenon_H38 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_Ha1 zenon_Ha9 zenon_H18c zenon_H158 zenon_H12a zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H230 zenon_H81 zenon_He9. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L625_); trivial. % 1.09/1.23 apply (zenon_L653_); trivial. % 1.09/1.23 apply (zenon_L643_); trivial. % 1.09/1.23 (* end of lemma zenon_L654_ *) % 1.09/1.23 assert (zenon_L655_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H191 zenon_H82 zenon_H1da zenon_H38 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_Ha1 zenon_Ha9 zenon_H18c zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H230 zenon_H81 zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L619_); trivial. % 1.09/1.23 apply (zenon_L653_); trivial. % 1.09/1.23 apply (zenon_L643_); trivial. % 1.09/1.23 (* end of lemma zenon_L655_ *) % 1.09/1.23 assert (zenon_L656_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H6c zenon_H196 zenon_He9 zenon_H81 zenon_H230 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_Ha1 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_H303 zenon_H1e8. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.23 apply (zenon_L654_); trivial. % 1.09/1.23 apply (zenon_L655_); trivial. % 1.09/1.23 (* end of lemma zenon_L656_ *) % 1.09/1.23 assert (zenon_L657_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H7b zenon_H84 zenon_H81 zenon_H12a zenon_Ha9 zenon_Ha1 zenon_H38 zenon_H1e8 zenon_H303 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1c5 zenon_H170 zenon_H1ca zenon_H1da zenon_H230 zenon_Hfd zenon_H82 zenon_H191 zenon_He9 zenon_H30c zenon_H196. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.24 apply (zenon_L600_); trivial. % 1.09/1.24 apply (zenon_L646_); trivial. % 1.09/1.24 apply (zenon_L643_); trivial. % 1.09/1.24 apply (zenon_L648_); trivial. % 1.09/1.24 apply (zenon_L656_); trivial. % 1.09/1.24 (* end of lemma zenon_L657_ *) % 1.09/1.24 assert (zenon_L658_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H80 zenon_H1d6 zenon_H1c5 zenon_H1ca zenon_H230 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H191 zenon_H82 zenon_H1da zenon_H38 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_Ha1 zenon_Ha9 zenon_H18c zenon_H158 zenon_H12a zenon_He9 zenon_H196 zenon_H84. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.24 apply (zenon_L645_); trivial. % 1.09/1.24 apply (zenon_L657_); trivial. % 1.09/1.24 (* end of lemma zenon_L658_ *) % 1.09/1.24 assert (zenon_L659_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H196 zenon_H30c zenon_H1d6 zenon_He9 zenon_H191 zenon_H82 zenon_Hfd zenon_H230 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1da zenon_H1ca zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_Hd zenon_H1c5 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_H303 zenon_H1e8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.24 apply (zenon_L94_); trivial. % 1.09/1.24 apply (zenon_L646_); trivial. % 1.09/1.24 apply (zenon_L643_); trivial. % 1.09/1.24 apply (zenon_L648_); trivial. % 1.09/1.24 (* end of lemma zenon_L659_ *) % 1.09/1.24 assert (zenon_L660_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H82 zenon_H1da zenon_H13d zenon_H3 zenon_Hd1 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H133 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H158 zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H230 zenon_H191 zenon_H81 zenon_He9. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L619_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.24 apply (zenon_L629_); trivial. % 1.09/1.24 apply (zenon_L652_); trivial. % 1.09/1.24 apply (zenon_L643_); trivial. % 1.09/1.24 (* end of lemma zenon_L660_ *) % 1.09/1.24 assert (zenon_L661_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H6c zenon_H196 zenon_H147 zenon_He9 zenon_H81 zenon_H230 zenon_H1d6 zenon_H12a zenon_H158 zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H3 zenon_H13d zenon_H16c zenon_H73 zenon_H74 zenon_H72 zenon_Hd1 zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H12c zenon_H12f zenon_H170 zenon_H133 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_H303 zenon_H1e8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L625_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.24 apply (zenon_L637_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.24 apply (zenon_L150_); trivial. % 1.09/1.24 apply (zenon_L159_); trivial. % 1.09/1.24 apply (zenon_L652_); trivial. % 1.09/1.24 apply (zenon_L643_); trivial. % 1.09/1.24 apply (zenon_L660_); trivial. % 1.09/1.24 (* end of lemma zenon_L661_ *) % 1.09/1.24 assert (zenon_L662_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H195 zenon_H80 zenon_H16c zenon_H158 zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1c5 zenon_H170 zenon_H1ca zenon_H230 zenon_H191 zenon_H1d6 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H3 zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H84. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.24 apply (zenon_L631_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.24 apply (zenon_L659_); trivial. % 1.09/1.24 apply (zenon_L661_); trivial. % 1.09/1.24 (* end of lemma zenon_L662_ *) % 1.09/1.24 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H16c zenon_H13d zenon_Hd1 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_H147 zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_H125 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H53 zenon_H81 zenon_H230 zenon_H1ca zenon_H1c5 zenon_H1d6 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.24 apply (zenon_L127_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.09/1.24 apply (zenon_L658_); trivial. % 1.09/1.24 apply (zenon_L662_); trivial. % 1.09/1.24 (* end of lemma zenon_L663_ *) % 1.09/1.24 assert (zenon_L664_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H83 zenon_H18c zenon_Hd3 zenon_H30c zenon_H91 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H230 zenon_Hfb zenon_Hfd zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H15b zenon_H15c zenon_H15d zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170 zenon_H11 zenon_H3 zenon_H13. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 1.09/1.24 apply (zenon_L9_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.24 apply (zenon_L137_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.09/1.24 apply (zenon_L11_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.09/1.24 apply (zenon_L174_); trivial. % 1.09/1.24 apply (zenon_L604_); trivial. % 1.09/1.24 (* end of lemma zenon_L664_ *) % 1.09/1.24 assert (zenon_L665_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1581)) -> (~(c1_1 (a1581))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H52 zenon_H18c zenon_Hfd zenon_Hfb zenon_H230 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1d8 zenon_H1da zenon_H88 zenon_H89 zenon_H8a zenon_H1ca zenon_H12f zenon_H12c zenon_Hc5 zenon_Hc2 zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.24 apply (zenon_L366_); trivial. % 1.09/1.24 apply (zenon_L607_); trivial. % 1.09/1.24 (* end of lemma zenon_L665_ *) % 1.09/1.24 assert (zenon_L666_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H191 zenon_Hea zenon_H82 zenon_H1d8 zenon_H1da zenon_H1ca zenon_H12f zenon_H12c zenon_H13 zenon_H3 zenon_H170 zenon_Hd zenon_H1c5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hfd zenon_Hfb zenon_H230 zenon_H91 zenon_H30c zenon_Hd3 zenon_H18c zenon_H83 zenon_Hf9 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.24 apply (zenon_L600_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.09/1.24 apply (zenon_L59_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.24 apply (zenon_L664_); trivial. % 1.09/1.24 apply (zenon_L665_); trivial. % 1.09/1.24 (* end of lemma zenon_L666_ *) % 1.09/1.24 assert (zenon_L667_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_He9 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_Hf9 zenon_H83 zenon_H18c zenon_Hd3 zenon_H30c zenon_H230 zenon_Hfb zenon_Hfd zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H170 zenon_H3 zenon_H13 zenon_H12c zenon_H12f zenon_H1ca zenon_H1da zenon_H1d8 zenon_H82 zenon_Hea zenon_H191. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L666_); trivial. % 1.09/1.24 apply (zenon_L198_); trivial. % 1.09/1.24 (* end of lemma zenon_L667_ *) % 1.09/1.24 assert (zenon_L668_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H191 zenon_H82 zenon_H1ab zenon_Ha4 zenon_Ha1 zenon_H181 zenon_H182 zenon_H1ca zenon_H1de zenon_H1dd zenon_H1dc zenon_H13 zenon_H3 zenon_H170 zenon_Hd zenon_H1c5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hfd zenon_Hfb zenon_H230 zenon_H91 zenon_H30c zenon_Hd3 zenon_H18c zenon_H83 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.24 apply (zenon_L600_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.24 apply (zenon_L664_); trivial. % 1.09/1.24 apply (zenon_L617_); trivial. % 1.09/1.24 (* end of lemma zenon_L668_ *) % 1.09/1.24 assert (zenon_L669_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1572))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1581)) -> (~(c1_1 (a1581))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H52 zenon_H18c zenon_H147 zenon_H180 zenon_H1ca zenon_H8a zenon_H89 zenon_H88 zenon_Hd1 zenon_H2fc zenon_H2fb zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H181 zenon_H182 zenon_H230 zenon_Hfb zenon_Hfd zenon_H12f zenon_H12c zenon_Hc5 zenon_Hc2 zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.24 apply (zenon_L366_); trivial. % 1.09/1.24 apply (zenon_L615_); trivial. % 1.09/1.24 (* end of lemma zenon_L669_ *) % 1.09/1.24 assert (zenon_L670_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H196 zenon_H16c zenon_Hdc zenon_Hde zenon_He9 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_Hf9 zenon_H83 zenon_H18c zenon_Hd3 zenon_H30c zenon_H230 zenon_Hfd zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H170 zenon_H3 zenon_H13 zenon_H12c zenon_H12f zenon_H1ca zenon_H1da zenon_H82 zenon_Hea zenon_H191 zenon_H151 zenon_H25 zenon_H1ab zenon_Ha4 zenon_Ha1 zenon_H38 zenon_Hd1 zenon_Ha9 zenon_H147 zenon_H194 zenon_H1e8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_L667_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.09/1.24 apply (zenon_L91_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L668_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.09/1.24 apply (zenon_L59_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.24 apply (zenon_L45_); trivial. % 1.09/1.24 apply (zenon_L669_); trivial. % 1.09/1.24 apply (zenon_L621_); trivial. % 1.09/1.24 (* end of lemma zenon_L670_ *) % 1.09/1.24 assert (zenon_L671_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_H25 zenon_H2ce zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd3 zenon_H18c. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.24 apply (zenon_L434_); trivial. % 1.09/1.24 apply (zenon_L191_); trivial. % 1.09/1.24 apply (zenon_L159_); trivial. % 1.09/1.24 (* end of lemma zenon_L671_ *) % 1.09/1.24 assert (zenon_L672_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H25 zenon_H2ce zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.24 apply (zenon_L600_); trivial. % 1.09/1.24 apply (zenon_L671_); trivial. % 1.09/1.24 (* end of lemma zenon_L672_ *) % 1.09/1.24 assert (zenon_L673_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.24 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H25 zenon_H2ce zenon_H125 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H18c zenon_H158 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L625_); trivial. % 1.09/1.24 apply (zenon_L672_); trivial. % 1.09/1.24 (* end of lemma zenon_L673_ *) % 1.09/1.24 assert (zenon_L674_ : ((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> (~(hskp9)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.09/1.24 do 0 intro. intros zenon_He6 zenon_H303 zenon_H1de zenon_H1dd zenon_H1dc zenon_H262 zenon_H64 zenon_H65 zenon_H63 zenon_H264 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.09/1.24 apply (zenon_L163_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.09/1.24 apply (zenon_L595_); trivial. % 1.09/1.24 apply (zenon_L596_); trivial. % 1.09/1.24 (* end of lemma zenon_L674_ *) % 1.09/1.24 assert (zenon_L675_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1e5 zenon_Hea zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H64 zenon_H65 zenon_H63 zenon_H262 zenon_H264 zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.09/1.24 apply (zenon_L59_); trivial. % 1.09/1.24 apply (zenon_L674_); trivial. % 1.09/1.24 (* end of lemma zenon_L675_ *) % 1.09/1.24 assert (zenon_L676_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H6c zenon_H196 zenon_H194 zenon_H147 zenon_H151 zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H25 zenon_H2ce zenon_H125 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H18c zenon_H158 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_Hf9 zenon_H264 zenon_H262 zenon_H303 zenon_Hea zenon_H1e8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_L673_); trivial. % 1.09/1.24 apply (zenon_L675_); trivial. % 1.09/1.24 apply (zenon_L624_); trivial. % 1.09/1.24 (* end of lemma zenon_L676_ *) % 1.09/1.24 assert (zenon_L677_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp5)) -> (~(hskp14)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1e5 zenon_H303 zenon_Hdc zenon_H9 zenon_H112 zenon_H100 zenon_H101 zenon_H1b3 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.09/1.24 apply (zenon_L163_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.09/1.24 apply (zenon_L276_); trivial. % 1.09/1.24 apply (zenon_L596_); trivial. % 1.09/1.24 (* end of lemma zenon_L677_ *) % 1.09/1.24 assert (zenon_L678_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H84 zenon_H196 zenon_H147 zenon_He9 zenon_H133 zenon_H12f zenon_H12c zenon_H6d zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H12a zenon_Hd1 zenon_H13d zenon_H3 zenon_H1da zenon_H82 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H1b3 zenon_Hdc zenon_H303 zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.24 apply (zenon_L29_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_L627_); trivial. % 1.09/1.24 apply (zenon_L677_); trivial. % 1.09/1.24 apply (zenon_L630_); trivial. % 1.09/1.24 (* end of lemma zenon_L678_ *) % 1.09/1.24 assert (zenon_L679_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hdc zenon_H1b3 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H3 zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H84. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.24 apply (zenon_L678_); trivial. % 1.09/1.24 apply (zenon_L633_); trivial. % 1.09/1.24 (* end of lemma zenon_L679_ *) % 1.09/1.24 assert (zenon_L680_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H26b zenon_H1b0 zenon_H147 zenon_H27e zenon_H194 zenon_H27c zenon_H25e zenon_H275 zenon_H274 zenon_H273 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf9 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.24 apply (zenon_L127_); trivial. % 1.09/1.24 apply (zenon_L281_); trivial. % 1.09/1.24 (* end of lemma zenon_L680_ *) % 1.09/1.24 assert (zenon_L681_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H147 zenon_H27e zenon_H194 zenon_H27c zenon_H25e zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf9 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.09/1.24 apply (zenon_L680_); trivial. % 1.09/1.24 (* end of lemma zenon_L681_ *) % 1.09/1.24 assert (zenon_L682_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H196 zenon_He9 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_Hf9 zenon_H83 zenon_H18c zenon_Hd3 zenon_H30c zenon_H230 zenon_Hfd zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H170 zenon_H3 zenon_H13 zenon_H12c zenon_H12f zenon_H1ca zenon_H1da zenon_H82 zenon_Hea zenon_H191 zenon_H303 zenon_H1e8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L666_); trivial. % 1.09/1.24 apply (zenon_L647_); trivial. % 1.09/1.24 apply (zenon_L643_); trivial. % 1.09/1.24 apply (zenon_L648_); trivial. % 1.09/1.24 (* end of lemma zenon_L682_ *) % 1.09/1.24 assert (zenon_L683_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H7b zenon_H84 zenon_H81 zenon_H12a zenon_Ha9 zenon_Ha1 zenon_H38 zenon_H1e8 zenon_H303 zenon_H191 zenon_Hea zenon_H82 zenon_H1da zenon_H1ca zenon_H12f zenon_H12c zenon_H13 zenon_H3 zenon_H170 zenon_H1c5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hfd zenon_H230 zenon_H30c zenon_Hd3 zenon_H18c zenon_H83 zenon_Hf9 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H1d6 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_He9 zenon_H196. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.24 apply (zenon_L682_); trivial. % 1.09/1.24 apply (zenon_L656_); trivial. % 1.09/1.24 (* end of lemma zenon_L683_ *) % 1.09/1.24 assert (zenon_L684_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H80 zenon_Hea zenon_H1ca zenon_H12f zenon_H12c zenon_H13 zenon_H3 zenon_H1c5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H230 zenon_Hd3 zenon_H83 zenon_Hf9 zenon_H1d6 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H191 zenon_H82 zenon_H1da zenon_H38 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_Ha1 zenon_Ha9 zenon_H18c zenon_H158 zenon_H12a zenon_He9 zenon_H196 zenon_H84. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.24 apply (zenon_L645_); trivial. % 1.09/1.24 apply (zenon_L683_); trivial. % 1.09/1.24 (* end of lemma zenon_L684_ *) % 1.09/1.24 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H16c zenon_H13d zenon_Hd1 zenon_H6d zenon_H133 zenon_H147 zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_H125 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H53 zenon_H81 zenon_H1d6 zenon_Hf9 zenon_H83 zenon_Hd3 zenon_H230 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H1c5 zenon_H13 zenon_H12c zenon_H12f zenon_H1ca zenon_Hea zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.24 apply (zenon_L127_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.09/1.24 apply (zenon_L684_); trivial. % 1.09/1.24 apply (zenon_L662_); trivial. % 1.09/1.24 (* end of lemma zenon_L685_ *) % 1.09/1.24 assert (zenon_L686_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (~(hskp16)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H232 zenon_H16c zenon_H1c zenon_H1b zenon_H1a zenon_Hfb zenon_H2fc zenon_H2fa zenon_H2fb zenon_H30c zenon_H8a zenon_H89 zenon_H88 zenon_H91 zenon_Hfd zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_H172 zenon_H173 zenon_H174. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.09/1.24 apply (zenon_L11_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.09/1.24 apply (zenon_L604_); trivial. % 1.09/1.24 apply (zenon_L222_); trivial. % 1.09/1.24 (* end of lemma zenon_L686_ *) % 1.09/1.24 assert (zenon_L687_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H83 zenon_H18c zenon_H241 zenon_H16c zenon_H30c zenon_H91 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H230 zenon_Hfb zenon_Hfd zenon_H201 zenon_H202 zenon_H203 zenon_H251 zenon_H15b zenon_H15c zenon_H15d zenon_H2ce zenon_H25 zenon_H73 zenon_H74 zenon_H72 zenon_H170 zenon_H11 zenon_H3 zenon_H13. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 1.09/1.24 apply (zenon_L9_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.24 apply (zenon_L434_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.09/1.24 apply (zenon_L238_); trivial. % 1.09/1.24 apply (zenon_L686_); trivial. % 1.09/1.24 (* end of lemma zenon_L687_ *) % 1.09/1.24 assert (zenon_L688_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp15)) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1581)) -> (~(c3_1 (a1581))) -> (~(c1_1 (a1581))) -> (~(hskp9)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H189 zenon_H264 zenon_H8a zenon_H89 zenon_H88 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_Hd zenon_H56 zenon_H3d zenon_H3b zenon_H230 zenon_H74 zenon_H72 zenon_H2fb zenon_H2fc zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H181 zenon_H182 zenon_H1ca zenon_Hfb zenon_H147 zenon_Hc5 zenon_Hc4 zenon_Hc2 zenon_H262. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.09/1.24 apply (zenon_L614_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.09/1.24 apply (zenon_L230_); trivial. % 1.09/1.24 apply (zenon_L27_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.09/1.24 apply (zenon_L88_); trivial. % 1.09/1.24 exact (zenon_H262 zenon_H263). % 1.09/1.24 (* end of lemma zenon_L688_ *) % 1.09/1.24 assert (zenon_L689_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Heb zenon_H191 zenon_Hea zenon_H82 zenon_H18c zenon_H264 zenon_H262 zenon_Hfd zenon_Hfb zenon_H230 zenon_H182 zenon_H181 zenon_H1ca zenon_H201 zenon_H202 zenon_H203 zenon_H147 zenon_H1c5 zenon_Hd zenon_H170 zenon_H13 zenon_H3 zenon_Ha9 zenon_Ha1 zenon_Hd1 zenon_Hd3 zenon_H38 zenon_H83 zenon_Hf9 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.24 apply (zenon_L600_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.09/1.24 apply (zenon_L59_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.24 apply (zenon_L45_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.24 apply (zenon_L137_); trivial. % 1.09/1.24 apply (zenon_L688_); trivial. % 1.09/1.24 (* end of lemma zenon_L689_ *) % 1.09/1.24 assert (zenon_L690_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1ca zenon_Hd zenon_H136 zenon_H135 zenon_H134 zenon_H13 zenon_H3 zenon_H170 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H72 zenon_H74 zenon_H73 zenon_H16c zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_H230 zenon_H241 zenon_H18c zenon_H83. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.24 apply (zenon_L240_); trivial. % 1.09/1.24 apply (zenon_L620_); trivial. % 1.09/1.24 (* end of lemma zenon_L690_ *) % 1.09/1.24 assert (zenon_L691_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H149 zenon_He9 zenon_H191 zenon_H82 zenon_H1ca zenon_Hd zenon_H13 zenon_H3 zenon_H170 zenon_H16c zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_H230 zenon_H241 zenon_H18c zenon_H83 zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L619_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.25 apply (zenon_L600_); trivial. % 1.09/1.25 apply (zenon_L690_); trivial. % 1.09/1.25 (* end of lemma zenon_L691_ *) % 1.09/1.25 assert (zenon_L692_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp23)) -> (~(hskp8)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H18c zenon_H241 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H230 zenon_H16c zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H251 zenon_H202 zenon_H201 zenon_H203 zenon_H28e zenon_H290 zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H2ce zenon_H11 zenon_H25 zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.25 apply (zenon_L434_); trivial. % 1.09/1.25 apply (zenon_L393_); trivial. % 1.09/1.25 (* end of lemma zenon_L692_ *) % 1.09/1.25 assert (zenon_L693_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_H25 zenon_H2ce zenon_H290 zenon_H28e zenon_H203 zenon_H201 zenon_H202 zenon_H251 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H16c zenon_H230 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H241 zenon_H18c. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.25 apply (zenon_L692_); trivial. % 1.09/1.25 apply (zenon_L159_); trivial. % 1.09/1.25 (* end of lemma zenon_L693_ *) % 1.09/1.25 assert (zenon_L694_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H25 zenon_H2ce zenon_H290 zenon_H28e zenon_H203 zenon_H201 zenon_H202 zenon_H251 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H16c zenon_H230 zenon_H241 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.25 apply (zenon_L600_); trivial. % 1.09/1.25 apply (zenon_L693_); trivial. % 1.09/1.25 (* end of lemma zenon_L694_ *) % 1.09/1.25 assert (zenon_L695_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.25 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H25 zenon_H2ce zenon_H290 zenon_H28e zenon_H203 zenon_H201 zenon_H202 zenon_H251 zenon_H125 zenon_H16c zenon_H230 zenon_H241 zenon_H18c zenon_H158 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L625_); trivial. % 1.09/1.25 apply (zenon_L694_); trivial. % 1.09/1.25 (* end of lemma zenon_L695_ *) % 1.09/1.25 assert (zenon_L696_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (c0_1 (a1534)) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp7)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H10f zenon_H2fc zenon_H2fa zenon_Hb7 zenon_H2fb zenon_H18 zenon_H10b zenon_H10d. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hff | zenon_intro zenon_H110 ]. % 1.09/1.25 apply (zenon_L602_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10c | zenon_intro zenon_H10e ]. % 1.09/1.25 exact (zenon_H10b zenon_H10c). % 1.09/1.25 exact (zenon_H10d zenon_H10e). % 1.09/1.25 (* end of lemma zenon_L696_ *) % 1.09/1.25 assert (zenon_L697_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(hskp7)) -> (ndr1_0) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp31)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H10d zenon_H18 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H10f zenon_H10b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.09/1.25 apply (zenon_L203_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.09/1.25 apply (zenon_L696_); trivial. % 1.09/1.25 exact (zenon_H10b zenon_H10c). % 1.09/1.25 (* end of lemma zenon_L697_ *) % 1.09/1.25 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c0_1 (a1554))) -> (c1_1 (a1554)) -> (c2_1 (a1554)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp6)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H12e zenon_H290 zenon_H1c zenon_H1b zenon_H1a zenon_H1 zenon_H34 zenon_H201 zenon_H203 zenon_H59 zenon_H5a zenon_H5b zenon_H147 zenon_H28e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.09/1.25 apply (zenon_L11_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.09/1.25 apply (zenon_L21_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.09/1.25 apply (zenon_L208_); trivial. % 1.09/1.25 apply (zenon_L332_); trivial. % 1.09/1.25 exact (zenon_H28e zenon_H28f). % 1.09/1.25 (* end of lemma zenon_L698_ *) % 1.09/1.25 assert (zenon_L699_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp10)) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1b8 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H13 zenon_H2c3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H10d zenon_H10f zenon_H203 zenon_H202 zenon_H201 zenon_H147 zenon_H34 zenon_H28e zenon_H290 zenon_H133 zenon_H83 zenon_Hf zenon_H6d zenon_H84 zenon_H1 zenon_H3 zenon_H5. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 1.09/1.25 apply (zenon_L3_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.25 apply (zenon_L7_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 1.09/1.25 apply (zenon_L9_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.09/1.25 apply (zenon_L697_); trivial. % 1.09/1.25 apply (zenon_L698_); trivial. % 1.09/1.25 apply (zenon_L20_); trivial. % 1.09/1.25 apply (zenon_L23_); trivial. % 1.09/1.25 apply (zenon_L25_); trivial. % 1.09/1.25 (* end of lemma zenon_L699_ *) % 1.09/1.25 assert (zenon_L700_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H18d zenon_H82 zenon_H1da zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.25 apply (zenon_L252_); trivial. % 1.09/1.25 apply (zenon_L159_); trivial. % 1.09/1.25 (* end of lemma zenon_L700_ *) % 1.09/1.25 assert (zenon_L701_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.25 apply (zenon_L600_); trivial. % 1.09/1.25 apply (zenon_L700_); trivial. % 1.09/1.25 (* end of lemma zenon_L701_ *) % 1.09/1.25 assert (zenon_L702_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.09/1.25 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L619_); trivial. % 1.09/1.25 apply (zenon_L701_); trivial. % 1.09/1.25 (* end of lemma zenon_L702_ *) % 1.09/1.25 assert (zenon_L703_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H88 zenon_H89 zenon_H8a zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.25 apply (zenon_L702_); trivial. % 1.09/1.25 apply (zenon_L643_); trivial. % 1.09/1.25 (* end of lemma zenon_L703_ *) % 1.09/1.25 assert (zenon_L704_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hb zenon_H12a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.25 apply (zenon_L637_); trivial. % 1.09/1.25 apply (zenon_L700_); trivial. % 1.09/1.25 (* end of lemma zenon_L704_ *) % 1.09/1.25 assert (zenon_L705_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Heb zenon_H81 zenon_H230 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1d8 zenon_H1da zenon_H82 zenon_H191. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.25 apply (zenon_L704_); trivial. % 1.09/1.25 apply (zenon_L652_); trivial. % 1.09/1.25 (* end of lemma zenon_L705_ *) % 1.09/1.25 assert (zenon_L706_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1e8 zenon_H303 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H12a zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H230 zenon_H81 zenon_He9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L625_); trivial. % 1.09/1.25 apply (zenon_L705_); trivial. % 1.09/1.25 apply (zenon_L643_); trivial. % 1.09/1.25 (* end of lemma zenon_L706_ *) % 1.09/1.25 assert (zenon_L707_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H230 zenon_H81 zenon_He9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L619_); trivial. % 1.09/1.25 apply (zenon_L705_); trivial. % 1.09/1.25 apply (zenon_L643_); trivial. % 1.09/1.25 (* end of lemma zenon_L707_ *) % 1.09/1.25 assert (zenon_L708_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H6c zenon_H196 zenon_He9 zenon_H81 zenon_H230 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H12a zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_H303 zenon_H1e8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.25 apply (zenon_L706_); trivial. % 1.09/1.25 apply (zenon_L707_); trivial. % 1.09/1.25 (* end of lemma zenon_L708_ *) % 1.09/1.25 assert (zenon_L709_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H7b zenon_H84 zenon_H81 zenon_H12a zenon_H1e8 zenon_H303 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1c5 zenon_H1ca zenon_H1da zenon_H230 zenon_Hfd zenon_H82 zenon_H191 zenon_He9 zenon_H30c zenon_H196. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.25 apply (zenon_L600_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.25 apply (zenon_L252_); trivial. % 1.09/1.25 apply (zenon_L608_); trivial. % 1.09/1.25 apply (zenon_L643_); trivial. % 1.09/1.25 apply (zenon_L703_); trivial. % 1.09/1.25 apply (zenon_L708_); trivial. % 1.09/1.25 (* end of lemma zenon_L709_ *) % 1.09/1.25 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Heb zenon_H81 zenon_H53 zenon_H9 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1d8 zenon_H1da zenon_H82 zenon_H191. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.25 apply (zenon_L704_); trivial. % 1.09/1.25 apply (zenon_L28_); trivial. % 1.09/1.25 (* end of lemma zenon_L710_ *) % 1.09/1.25 assert (zenon_L711_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.25 do 0 intro. intros zenon_He9 zenon_H81 zenon_H53 zenon_H9 zenon_H12a zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1d8 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L625_); trivial. % 1.09/1.25 apply (zenon_L710_); trivial. % 1.09/1.25 (* end of lemma zenon_L711_ *) % 1.09/1.25 assert (zenon_L712_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.09/1.25 do 0 intro. intros zenon_He9 zenon_H81 zenon_H53 zenon_H9 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_H88 zenon_H89 zenon_H8a zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1d8 zenon_H1da zenon_H82 zenon_H191 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L619_); trivial. % 1.09/1.25 apply (zenon_L710_); trivial. % 1.09/1.25 (* end of lemma zenon_L712_ *) % 1.09/1.25 assert (zenon_L713_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H9 zenon_H53 zenon_H81 zenon_He9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.25 apply (zenon_L712_); trivial. % 1.09/1.25 apply (zenon_L628_); trivial. % 1.09/1.25 (* end of lemma zenon_L713_ *) % 1.09/1.25 assert (zenon_L714_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H6d zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.25 apply (zenon_L29_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.25 apply (zenon_L711_); trivial. % 1.09/1.25 apply (zenon_L628_); trivial. % 1.09/1.25 apply (zenon_L713_); trivial. % 1.09/1.25 (* end of lemma zenon_L714_ *) % 1.09/1.25 assert (zenon_L715_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H195 zenon_H80 zenon_H1d6 zenon_H1c5 zenon_H1ca zenon_H230 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_H6d zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H12a zenon_He9 zenon_H196 zenon_H84. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.25 apply (zenon_L714_); trivial. % 1.09/1.25 apply (zenon_L709_); trivial. % 1.09/1.25 (* end of lemma zenon_L715_ *) % 1.09/1.25 assert (zenon_L716_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H26e zenon_H1b0 zenon_H6d zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H53 zenon_H81 zenon_H230 zenon_H1ca zenon_H1c5 zenon_H202 zenon_H203 zenon_H1d6 zenon_H80. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.25 apply (zenon_L645_); trivial. % 1.09/1.25 apply (zenon_L709_); trivial. % 1.09/1.25 apply (zenon_L715_); trivial. % 1.09/1.25 (* end of lemma zenon_L716_ *) % 1.09/1.25 assert (zenon_L717_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_H125 zenon_H170 zenon_H38 zenon_H1da zenon_H191 zenon_H30c zenon_Hfd zenon_H303 zenon_H1e8 zenon_H230 zenon_H1ca zenon_H1c5 zenon_H1d6 zenon_H5 zenon_H3 zenon_H84 zenon_H6d zenon_Hf zenon_H83 zenon_H133 zenon_H290 zenon_H28e zenon_H34 zenon_H147 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3 zenon_H13 zenon_H53 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.25 apply (zenon_L699_); trivial. % 1.09/1.25 apply (zenon_L716_); trivial. % 1.09/1.25 (* end of lemma zenon_L717_ *) % 1.09/1.25 assert (zenon_L718_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Heb zenon_Hea zenon_H82 zenon_H18c zenon_H264 zenon_H262 zenon_Hfd zenon_Hfb zenon_H230 zenon_H182 zenon_H181 zenon_H2fb zenon_H2fc zenon_H1ca zenon_H201 zenon_H202 zenon_H203 zenon_H147 zenon_H12f zenon_H12c zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H170 zenon_H13 zenon_H3 zenon_Ha9 zenon_Ha1 zenon_Hd1 zenon_Hd3 zenon_H38 zenon_H83 zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.09/1.25 apply (zenon_L59_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.25 apply (zenon_L45_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.25 apply (zenon_L366_); trivial. % 1.09/1.25 apply (zenon_L688_); trivial. % 1.09/1.25 (* end of lemma zenon_L718_ *) % 1.09/1.25 assert (zenon_L719_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> (~(hskp10)) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H27c zenon_H275 zenon_H274 zenon_H273 zenon_H1 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H260 zenon_H25e. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H272 | zenon_intro zenon_H27d ]. % 1.09/1.25 apply (zenon_L272_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H13f | zenon_intro zenon_H25f ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24b | zenon_intro zenon_H261 ]. % 1.09/1.25 apply (zenon_L230_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H2 | zenon_intro zenon_H25f ]. % 1.09/1.25 exact (zenon_H1 zenon_H2). % 1.09/1.25 exact (zenon_H25e zenon_H25f). % 1.09/1.25 exact (zenon_H25e zenon_H25f). % 1.09/1.25 (* end of lemma zenon_L719_ *) % 1.09/1.25 assert (zenon_L720_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H81 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H3 zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H84 zenon_H194 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf9 zenon_H80 zenon_H260 zenon_H25e zenon_H203 zenon_H202 zenon_H201 zenon_H27c. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.25 apply (zenon_L719_); trivial. % 1.09/1.25 apply (zenon_L635_); trivial. % 1.09/1.25 (* end of lemma zenon_L720_ *) % 1.09/1.25 assert (zenon_L721_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1624))) -> (forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55)))))) -> (~(c2_1 (a1624))) -> (~(c3_1 (a1624))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H317 zenon_H18 zenon_H1a zenon_H62 zenon_H1b zenon_H1c. % 1.09/1.25 generalize (zenon_H317 (a1624)). zenon_intro zenon_H318. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H318); [ zenon_intro zenon_H17 | zenon_intro zenon_H319 ]. % 1.09/1.25 exact (zenon_H17 zenon_H18). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H20 | zenon_intro zenon_H31a ]. % 1.09/1.25 exact (zenon_H1a zenon_H20). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H31b | zenon_intro zenon_H22 ]. % 1.09/1.25 generalize (zenon_H62 (a1624)). zenon_intro zenon_H31c. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H31c); [ zenon_intro zenon_H17 | zenon_intro zenon_H31d ]. % 1.09/1.25 exact (zenon_H17 zenon_H18). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H22 | zenon_intro zenon_H31e ]. % 1.09/1.25 exact (zenon_H1b zenon_H22). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H21 | zenon_intro zenon_H31f ]. % 1.09/1.25 exact (zenon_H1c zenon_H21). % 1.09/1.25 exact (zenon_H31f zenon_H31b). % 1.09/1.25 exact (zenon_H1b zenon_H22). % 1.09/1.25 (* end of lemma zenon_L721_ *) % 1.09/1.25 assert (zenon_L722_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1545)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8)))))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp14)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H6d zenon_H1eb zenon_H15a zenon_H1e9 zenon_H1c zenon_H1b zenon_H1a zenon_H18 zenon_H317 zenon_H9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H58 | zenon_intro zenon_H70 ]. % 1.09/1.25 apply (zenon_L185_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha ]. % 1.09/1.25 apply (zenon_L721_); trivial. % 1.09/1.25 exact (zenon_H9 zenon_Ha). % 1.09/1.25 (* end of lemma zenon_L722_ *) % 1.09/1.25 assert (zenon_L723_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp14)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c3_1 (a1624))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H170 zenon_H9 zenon_H317 zenon_H1a zenon_H1b zenon_H1c zenon_H1e9 zenon_H1eb zenon_H6d zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H16e. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.09/1.25 apply (zenon_L722_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.09/1.25 apply (zenon_L19_); trivial. % 1.09/1.25 exact (zenon_H16e zenon_H16f). % 1.09/1.25 (* end of lemma zenon_L723_ *) % 1.09/1.25 assert (zenon_L724_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(hskp31)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H18 zenon_Hff zenon_H10b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.09/1.25 apply (zenon_L203_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.09/1.25 apply (zenon_L602_); trivial. % 1.09/1.25 exact (zenon_H10b zenon_H10c). % 1.09/1.25 (* end of lemma zenon_L724_ *) % 1.09/1.25 assert (zenon_L725_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp28)) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H320 zenon_H16e zenon_H49 zenon_H4a zenon_H4b zenon_H6d zenon_H1c zenon_H1b zenon_H1a zenon_H9 zenon_H170 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H18 zenon_H10b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H317 | zenon_intro zenon_H321 ]. % 1.09/1.25 apply (zenon_L723_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hff ]. % 1.09/1.25 apply (zenon_L174_); trivial. % 1.09/1.25 apply (zenon_L724_); trivial. % 1.09/1.25 (* end of lemma zenon_L725_ *) % 1.09/1.25 assert (zenon_L726_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1624))) -> (~(c2_1 (a1624))) -> (~(c0_1 (a1624))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H189 zenon_Hd3 zenon_H1c zenon_H1b zenon_H1a zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H230 zenon_H4b zenon_H4a zenon_H49 zenon_H2fc zenon_H2fa zenon_H2fb. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.09/1.25 apply (zenon_L11_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.09/1.25 apply (zenon_L174_); trivial. % 1.09/1.25 apply (zenon_L649_); trivial. % 1.09/1.25 (* end of lemma zenon_L726_ *) % 1.09/1.25 assert (zenon_L727_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1545))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (~(hskp23)) -> (~(hskp3)) -> ((hskp23)\/((hskp3)\/(hskp26))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H83 zenon_H18c zenon_Hd3 zenon_H230 zenon_H133 zenon_Ha9 zenon_Ha1 zenon_H1 zenon_H34 zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1e9 zenon_H1eb zenon_H9 zenon_H6d zenon_H1ea zenon_H2c3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H203 zenon_H202 zenon_H201 zenon_H320 zenon_H38 zenon_H11 zenon_H3 zenon_H13. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 1.09/1.25 apply (zenon_L9_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.09/1.25 apply (zenon_L725_); trivial. % 1.09/1.25 apply (zenon_L333_); trivial. % 1.09/1.25 apply (zenon_L16_); trivial. % 1.09/1.25 apply (zenon_L726_); trivial. % 1.09/1.25 (* end of lemma zenon_L727_ *) % 1.09/1.25 assert (zenon_L728_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H1 zenon_H34 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18 zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H18c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.25 apply (zenon_L479_); trivial. % 1.09/1.25 apply (zenon_L313_); trivial. % 1.09/1.25 (* end of lemma zenon_L728_ *) % 1.09/1.25 assert (zenon_L729_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c0_1 (a1562)) -> (c3_1 (a1562)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17)))))) -> (~(c3_1 (a1534))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H158 zenon_H119 zenon_H118 zenon_H1 zenon_H34 zenon_H2fc zenon_H2fb zenon_Hc1 zenon_H2fa zenon_H18 zenon_H156. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H3c | zenon_intro zenon_H159 ]. % 1.09/1.25 apply (zenon_L332_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H153 | zenon_intro zenon_H157 ]. % 1.09/1.25 apply (zenon_L598_); trivial. % 1.09/1.25 exact (zenon_H156 zenon_H157). % 1.09/1.25 (* end of lemma zenon_L729_ *) % 1.09/1.25 assert (zenon_L730_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(hskp14)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H53 zenon_H118 zenon_H119 zenon_H29 zenon_H203 zenon_H202 zenon_H18 zenon_Hab zenon_H9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 1.09/1.25 apply (zenon_L331_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 1.09/1.25 apply (zenon_L250_); trivial. % 1.09/1.25 exact (zenon_H9 zenon_Ha). % 1.09/1.25 (* end of lemma zenon_L730_ *) % 1.09/1.25 assert (zenon_L731_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1562)) -> (c0_1 (a1562)) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H322 zenon_H156 zenon_H34 zenon_H1 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H53 zenon_H118 zenon_H119 zenon_H29 zenon_H203 zenon_H202 zenon_H18 zenon_H9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H323 ]. % 1.09/1.25 apply (zenon_L729_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2f9 | zenon_intro zenon_Hab ]. % 1.09/1.25 apply (zenon_L596_); trivial. % 1.09/1.25 apply (zenon_L730_); trivial. % 1.09/1.25 (* end of lemma zenon_L731_ *) % 1.09/1.25 assert (zenon_L732_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(hskp21)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H133 zenon_Hd1 zenon_H53 zenon_H9 zenon_H322 zenon_H34 zenon_H1 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H156 zenon_H158 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H2c3. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.09/1.25 apply (zenon_L372_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 1.09/1.25 apply (zenon_L41_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 1.09/1.25 apply (zenon_L729_); trivial. % 1.09/1.25 apply (zenon_L731_); trivial. % 1.09/1.25 (* end of lemma zenon_L732_ *) % 1.09/1.25 assert (zenon_L733_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1 zenon_H34 zenon_H322 zenon_H9 zenon_H53 zenon_Hd1 zenon_H133. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.25 apply (zenon_L732_); trivial. % 1.09/1.25 apply (zenon_L700_); trivial. % 1.09/1.25 (* end of lemma zenon_L733_ *) % 1.09/1.25 assert (zenon_L734_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.09/1.25 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H1 zenon_H34 zenon_H322 zenon_H9 zenon_H53 zenon_Hd1 zenon_H133 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L619_); trivial. % 1.09/1.25 apply (zenon_L733_); trivial. % 1.09/1.25 (* end of lemma zenon_L734_ *) % 1.09/1.25 assert (zenon_L735_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H133 zenon_Hd1 zenon_H53 zenon_H9 zenon_H322 zenon_H34 zenon_H1 zenon_H158 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.25 apply (zenon_L734_); trivial. % 1.09/1.25 apply (zenon_L643_); trivial. % 1.09/1.25 (* end of lemma zenon_L735_ *) % 1.09/1.25 assert (zenon_L736_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c0_1 (a1539))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H133 zenon_Hd1 zenon_H53 zenon_H322 zenon_H158 zenon_H201 zenon_H2c3 zenon_H1da zenon_H191 zenon_He9 zenon_H18c zenon_H6d zenon_H9 zenon_H1eb zenon_H1e9 zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H34 zenon_H1 zenon_Hfd zenon_H82. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.25 apply (zenon_L728_); trivial. % 1.09/1.25 apply (zenon_L735_); trivial. % 1.09/1.25 (* end of lemma zenon_L736_ *) % 1.09/1.25 assert (zenon_L737_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H12f zenon_H101 zenon_H100 zenon_H2fc zenon_H2fb zenon_Hff zenon_H18 zenon_H12c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H58 | zenon_intro zenon_H132 ]. % 1.09/1.25 apply (zenon_L64_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H12d ]. % 1.09/1.25 apply (zenon_L611_); trivial. % 1.09/1.25 exact (zenon_H12c zenon_H12d). % 1.09/1.25 (* end of lemma zenon_L737_ *) % 1.09/1.25 assert (zenon_L738_ : ((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1545))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H37 zenon_H18c zenon_H125 zenon_H11 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H4b zenon_H4a zenon_H49 zenon_H1e9 zenon_H1eb zenon_H9 zenon_H6d zenon_H1ea zenon_H12f zenon_H12c zenon_H2fc zenon_H2fb zenon_H101 zenon_H100 zenon_H320. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H18. zenon_intro zenon_H39. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H1a. zenon_intro zenon_H3a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H1b. zenon_intro zenon_H1c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H317 | zenon_intro zenon_H321 ]. % 1.09/1.25 apply (zenon_L723_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hff ]. % 1.09/1.25 apply (zenon_L174_); trivial. % 1.09/1.25 apply (zenon_L737_); trivial. % 1.09/1.25 apply (zenon_L131_); trivial. % 1.09/1.25 (* end of lemma zenon_L738_ *) % 1.09/1.25 assert (zenon_L739_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1554)) -> (c1_1 (a1554)) -> (~(c0_1 (a1554))) -> (~(hskp14)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H52 zenon_H147 zenon_H5b zenon_H5a zenon_H59 zenon_H9 zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H34 zenon_H1. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.09/1.25 apply (zenon_L21_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.09/1.25 apply (zenon_L530_); trivial. % 1.09/1.25 apply (zenon_L18_); trivial. % 1.09/1.25 (* end of lemma zenon_L739_ *) % 1.09/1.25 assert (zenon_L740_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c2_1 (a1554)) -> (c1_1 (a1554)) -> (~(c0_1 (a1554))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(c3_1 (a1545))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H195 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H147 zenon_H34 zenon_H1 zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H5b zenon_H5a zenon_H59 zenon_H13 zenon_H3 zenon_H320 zenon_H2fb zenon_H2fc zenon_H12c zenon_H12f zenon_H1ea zenon_H6d zenon_H1eb zenon_H1e9 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H83 zenon_Hf zenon_H84. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.26 apply (zenon_L7_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H14 | zenon_intro zenon_H37 ]. % 1.09/1.26 apply (zenon_L9_); trivial. % 1.09/1.26 apply (zenon_L738_); trivial. % 1.09/1.26 apply (zenon_L739_); trivial. % 1.09/1.26 apply (zenon_L23_); trivial. % 1.09/1.26 apply (zenon_L25_); trivial. % 1.09/1.26 (* end of lemma zenon_L740_ *) % 1.09/1.26 assert (zenon_L741_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1543))) -> (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63)))))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H97 zenon_H18 zenon_H293 zenon_H2da zenon_H292 zenon_H294. % 1.09/1.26 generalize (zenon_H97 (a1543)). zenon_intro zenon_H2d2. % 1.09/1.26 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H17 | zenon_intro zenon_H2d3 ]. % 1.09/1.26 exact (zenon_H17 zenon_H18). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H29a | zenon_intro zenon_H2d4 ]. % 1.09/1.26 exact (zenon_H293 zenon_H29a). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H299 ]. % 1.09/1.26 generalize (zenon_H2da (a1543)). zenon_intro zenon_H324. % 1.09/1.26 apply (zenon_imply_s _ _ zenon_H324); [ zenon_intro zenon_H17 | zenon_intro zenon_H325 ]. % 1.09/1.26 exact (zenon_H17 zenon_H18). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H298 | zenon_intro zenon_H326 ]. % 1.09/1.26 exact (zenon_H292 zenon_H298). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H29a | zenon_intro zenon_H2d9 ]. % 1.09/1.26 exact (zenon_H293 zenon_H29a). % 1.09/1.26 exact (zenon_H2d9 zenon_H2d5). % 1.09/1.26 exact (zenon_H299 zenon_H294). % 1.09/1.26 (* end of lemma zenon_L741_ *) % 1.09/1.26 assert (zenon_L742_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (~(hskp19)) -> (~(hskp13)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c2_1 (a1581)) -> (~(c3_1 (a1581))) -> (~(c1_1 (a1581))) -> (~(hskp9)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H52 zenon_H264 zenon_Ha4 zenon_H294 zenon_H292 zenon_H293 zenon_H91 zenon_Ha1 zenon_H201 zenon_H202 zenon_H203 zenon_H2ee zenon_Hc5 zenon_Hc4 zenon_Hc2 zenon_H262. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.09/1.26 apply (zenon_L230_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha7 ]. % 1.09/1.26 apply (zenon_L741_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha2 ]. % 1.09/1.26 exact (zenon_H91 zenon_H92). % 1.09/1.26 exact (zenon_Ha1 zenon_Ha2). % 1.09/1.26 apply (zenon_L139_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.09/1.26 apply (zenon_L88_); trivial. % 1.09/1.26 exact (zenon_H262 zenon_H263). % 1.09/1.26 (* end of lemma zenon_L742_ *) % 1.09/1.26 assert (zenon_L743_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H191 zenon_Hea zenon_H82 zenon_H264 zenon_H262 zenon_Ha4 zenon_Ha1 zenon_H294 zenon_H292 zenon_H293 zenon_H2ee zenon_H13 zenon_H3 zenon_H170 zenon_H25 zenon_H2ce zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_Hfd zenon_Hfb zenon_H230 zenon_H91 zenon_H30c zenon_H16c zenon_H241 zenon_H18c zenon_H83 zenon_Hf9 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.09/1.26 apply (zenon_L600_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.09/1.26 apply (zenon_L59_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_L687_); trivial. % 1.09/1.26 apply (zenon_L742_); trivial. % 1.09/1.26 (* end of lemma zenon_L743_ *) % 1.09/1.26 assert (zenon_L744_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.09/1.26 do 0 intro. intros zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_Hfb. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.09/1.26 apply (zenon_L301_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.09/1.26 apply (zenon_L22_); trivial. % 1.09/1.26 exact (zenon_Hfb zenon_Hfc). % 1.09/1.26 (* end of lemma zenon_L744_ *) % 1.09/1.26 assert (zenon_L745_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6c zenon_H196 zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H262 zenon_H264 zenon_H147 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.26 apply (zenon_L744_); trivial. % 1.09/1.26 apply (zenon_L624_); trivial. % 1.09/1.26 (* end of lemma zenon_L745_ *) % 1.09/1.26 assert (zenon_L746_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a1543))) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))) -> (c0_1 (a1543)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H97 zenon_H18 zenon_H293 zenon_H1c7 zenon_H294. % 1.09/1.26 generalize (zenon_H97 (a1543)). zenon_intro zenon_H2d2. % 1.09/1.26 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H17 | zenon_intro zenon_H2d3 ]. % 1.09/1.26 exact (zenon_H17 zenon_H18). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H29a | zenon_intro zenon_H2d4 ]. % 1.09/1.26 exact (zenon_H293 zenon_H29a). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H299 ]. % 1.09/1.26 generalize (zenon_H1c7 (a1543)). zenon_intro zenon_H327. % 1.09/1.26 apply (zenon_imply_s _ _ zenon_H327); [ zenon_intro zenon_H17 | zenon_intro zenon_H328 ]. % 1.09/1.26 exact (zenon_H17 zenon_H18). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H29a | zenon_intro zenon_H2d8 ]. % 1.09/1.26 exact (zenon_H293 zenon_H29a). % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H299 | zenon_intro zenon_H2d9 ]. % 1.09/1.26 exact (zenon_H299 zenon_H294). % 1.09/1.26 exact (zenon_H2d9 zenon_H2d5). % 1.09/1.26 exact (zenon_H299 zenon_H294). % 1.09/1.26 (* end of lemma zenon_L746_ *) % 1.09/1.26 assert (zenon_L747_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (c0_1 (a1543)) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a1543))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp23)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H2ce zenon_H294 zenon_H1c7 zenon_H293 zenon_H18 zenon_H25 zenon_H11. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H97 | zenon_intro zenon_H2cf ]. % 1.09/1.26 apply (zenon_L746_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H26 | zenon_intro zenon_H12 ]. % 1.09/1.26 exact (zenon_H25 zenon_H26). % 1.09/1.26 exact (zenon_H11 zenon_H12). % 1.09/1.26 (* end of lemma zenon_L747_ *) % 1.09/1.26 assert (zenon_L748_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> False). % 1.09/1.26 do 0 intro. intros zenon_Heb zenon_H82 zenon_H2ce zenon_H25 zenon_H294 zenon_H293 zenon_H1d8 zenon_H1da. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 1.09/1.26 apply (zenon_L41_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 1.09/1.26 apply (zenon_L747_); trivial. % 1.09/1.26 exact (zenon_H1d8 zenon_H1d9). % 1.09/1.26 apply (zenon_L159_); trivial. % 1.09/1.26 (* end of lemma zenon_L748_ *) % 1.09/1.26 assert (zenon_L749_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.09/1.26 do 0 intro. intros zenon_He9 zenon_H82 zenon_H2ce zenon_H25 zenon_H294 zenon_H293 zenon_H1d8 zenon_H1da zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.26 apply (zenon_L619_); trivial. % 1.09/1.26 apply (zenon_L748_); trivial. % 1.09/1.26 (* end of lemma zenon_L749_ *) % 1.09/1.26 assert (zenon_L750_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H9 zenon_H6d zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.26 apply (zenon_L744_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.26 apply (zenon_L749_); trivial. % 1.09/1.26 apply (zenon_L628_); trivial. % 1.09/1.26 (* end of lemma zenon_L750_ *) % 1.09/1.26 assert (zenon_L751_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H84 zenon_H196 zenon_H1e8 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_L29_); trivial. % 1.09/1.26 apply (zenon_L750_); trivial. % 1.09/1.26 (* end of lemma zenon_L751_ *) % 1.09/1.26 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H147 zenon_Hf9 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_He9 zenon_H82 zenon_H2ce zenon_H25 zenon_H1da zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H6d zenon_H303 zenon_H1e8 zenon_H196 zenon_H84. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_L751_); trivial. % 1.09/1.26 apply (zenon_L633_); trivial. % 1.09/1.26 (* end of lemma zenon_L752_ *) % 1.09/1.26 assert (zenon_L753_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H38 zenon_H2c3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H10d zenon_H10f zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.09/1.26 apply (zenon_L697_); trivial. % 1.09/1.26 apply (zenon_L333_); trivial. % 1.09/1.26 apply (zenon_L16_); trivial. % 1.09/1.26 (* end of lemma zenon_L753_ *) % 1.09/1.26 assert (zenon_L754_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1554)) -> (c1_1 (a1554)) -> (~(c0_1 (a1554))) -> (c3_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp15)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H147 zenon_H5b zenon_H5a zenon_H59 zenon_H203 zenon_H214 zenon_H201 zenon_H1c5 zenon_H294 zenon_H292 zenon_H293 zenon_H18 zenon_H16e zenon_Hd. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.09/1.26 apply (zenon_L21_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.09/1.26 apply (zenon_L208_); trivial. % 1.09/1.26 apply (zenon_L493_); trivial. % 1.09/1.26 (* end of lemma zenon_L754_ *) % 1.09/1.26 assert (zenon_L755_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(hskp3))) -> (~(hskp15)) -> (~(hskp28)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c0_1 (a1554))) -> (c1_1 (a1554)) -> (c2_1 (a1554)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H23f zenon_Hd zenon_H16e zenon_H1c5 zenon_H201 zenon_H203 zenon_H59 zenon_H5a zenon_H5b zenon_H147 zenon_H294 zenon_H293 zenon_H292 zenon_H18 zenon_H3. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H214 | zenon_intro zenon_H248 ]. % 1.09/1.26 apply (zenon_L754_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H4 ]. % 1.09/1.26 apply (zenon_L301_); trivial. % 1.09/1.26 exact (zenon_H3 zenon_H4). % 1.09/1.26 (* end of lemma zenon_L755_ *) % 1.09/1.26 assert (zenon_L756_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H63 zenon_H64 zenon_H65 zenon_H6d zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H133 zenon_Hd1 zenon_H53 zenon_H9 zenon_H322 zenon_H34 zenon_H1 zenon_H158 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.26 apply (zenon_L734_); trivial. % 1.09/1.26 apply (zenon_L628_); trivial. % 1.09/1.26 (* end of lemma zenon_L756_ *) % 1.09/1.26 assert (zenon_L757_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H133 zenon_Hd1 zenon_H53 zenon_H9 zenon_H322 zenon_H34 zenon_H1 zenon_H158 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.26 apply (zenon_L744_); trivial. % 1.09/1.26 apply (zenon_L756_); trivial. % 1.09/1.26 (* end of lemma zenon_L757_ *) % 1.09/1.26 assert (zenon_L758_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H9 zenon_H53 zenon_H81 zenon_He9. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.26 apply (zenon_L712_); trivial. % 1.09/1.26 apply (zenon_L643_); trivial. % 1.09/1.26 (* end of lemma zenon_L758_ *) % 1.09/1.26 assert (zenon_L759_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H8a zenon_H89 zenon_H88 zenon_H12a zenon_H9 zenon_H53 zenon_H81 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.26 apply (zenon_L744_); trivial. % 1.09/1.26 apply (zenon_L758_); trivial. % 1.09/1.26 (* end of lemma zenon_L759_ *) % 1.09/1.26 assert (zenon_L760_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H84 zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H12a zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_L29_); trivial. % 1.09/1.26 apply (zenon_L759_); trivial. % 1.09/1.26 (* end of lemma zenon_L760_ *) % 1.09/1.26 assert (zenon_L761_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/(hskp3))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1d6 zenon_H1ca zenon_H230 zenon_H12a zenon_H5 zenon_H3 zenon_H38 zenon_H2c3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H10d zenon_H10f zenon_H203 zenon_H202 zenon_H201 zenon_H34 zenon_Ha9 zenon_H133 zenon_H84 zenon_H196 zenon_H1e8 zenon_H303 zenon_H6d zenon_H30c zenon_Hd1 zenon_H322 zenon_H158 zenon_H170 zenon_H1da zenon_H191 zenon_He9 zenon_Hfd zenon_Hf zenon_H18c zenon_H125 zenon_H147 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H23f zenon_H53 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b0 zenon_H1b8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 1.09/1.26 apply (zenon_L3_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.09/1.26 apply (zenon_L753_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.26 apply (zenon_L7_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.09/1.26 apply (zenon_L755_); trivial. % 1.09/1.26 apply (zenon_L131_); trivial. % 1.09/1.26 apply (zenon_L20_); trivial. % 1.09/1.26 apply (zenon_L757_); trivial. % 1.09/1.26 apply (zenon_L25_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_L760_); trivial. % 1.09/1.26 apply (zenon_L709_); trivial. % 1.09/1.26 (* end of lemma zenon_L761_ *) % 1.09/1.26 assert (zenon_L762_ : ((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1b5 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H34 zenon_H1 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H147 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_Hf zenon_H6d zenon_H84. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.09/1.26 apply (zenon_L7_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_L498_); trivial. % 1.09/1.26 apply (zenon_L739_); trivial. % 1.09/1.26 apply (zenon_L23_); trivial. % 1.09/1.26 apply (zenon_L25_); trivial. % 1.09/1.26 (* end of lemma zenon_L762_ *) % 1.09/1.26 assert (zenon_L763_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp10)) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1b8 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H147 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_Hf zenon_H6d zenon_H84 zenon_H1 zenon_H3 zenon_H5. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 1.09/1.26 apply (zenon_L3_); trivial. % 1.09/1.26 apply (zenon_L762_); trivial. % 1.09/1.26 (* end of lemma zenon_L763_ *) % 1.09/1.26 assert (zenon_L764_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H7b zenon_H84 zenon_H81 zenon_H12a zenon_H1e8 zenon_H303 zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H18c zenon_H12f zenon_H12c zenon_H1eb zenon_H1e9 zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1c5 zenon_H1ca zenon_H1da zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_Hfd zenon_H82 zenon_Hea zenon_He9 zenon_H191 zenon_H158 zenon_H1d6 zenon_H30c zenon_H196. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.09/1.26 apply (zenon_L59_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H18. zenon_intro zenon_He7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hc5. zenon_intro zenon_He8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hc2. zenon_intro zenon_Hc4. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_L483_); trivial. % 1.09/1.26 apply (zenon_L665_); trivial. % 1.09/1.26 apply (zenon_L643_); trivial. % 1.09/1.26 apply (zenon_L703_); trivial. % 1.09/1.26 apply (zenon_L708_); trivial. % 1.09/1.26 (* end of lemma zenon_L764_ *) % 1.09/1.26 assert (zenon_L765_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H285 zenon_H26b zenon_Hf9 zenon_H12f zenon_H12c zenon_H1ca zenon_H230 zenon_Hea zenon_H1d6 zenon_Hfd zenon_He9 zenon_H12a zenon_H158 zenon_H1da zenon_H191 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H5 zenon_H3 zenon_H84 zenon_H6d zenon_Hf zenon_H18c zenon_H125 zenon_H147 zenon_H1c5 zenon_H294 zenon_H292 zenon_H293 zenon_H201 zenon_H202 zenon_H203 zenon_H53 zenon_H1eb zenon_H1e9 zenon_H170 zenon_H34 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.26 apply (zenon_L763_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_L760_); trivial. % 1.09/1.26 apply (zenon_L764_); trivial. % 1.09/1.26 (* end of lemma zenon_L765_ *) % 1.09/1.26 assert (zenon_L766_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a1546)) -> (c1_1 (a1546)) -> (c3_1 (a1546)) -> False). % 1.09/1.26 do 0 intro. intros zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H2fc zenon_H2fb zenon_Hff zenon_H18 zenon_H2a zenon_H2b zenon_H2c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 1.09/1.26 apply (zenon_L41_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 1.09/1.26 apply (zenon_L611_); trivial. % 1.09/1.26 apply (zenon_L15_); trivial. % 1.09/1.26 (* end of lemma zenon_L766_ *) % 1.09/1.26 assert (zenon_L767_ : ((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c0_1 (a1572))) -> (c2_1 (a1572)) -> (c3_1 (a1572)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H33 zenon_H2bb zenon_H8a zenon_H89 zenon_H88 zenon_H180 zenon_H181 zenon_H182 zenon_H147 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H2fc zenon_H2fb. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.09/1.26 apply (zenon_L405_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.09/1.26 apply (zenon_L307_); trivial. % 1.09/1.26 apply (zenon_L766_); trivial. % 1.09/1.26 (* end of lemma zenon_L767_ *) % 1.09/1.26 assert (zenon_L768_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> False). % 1.09/1.26 do 0 intro. intros zenon_Heb zenon_H38 zenon_H2bb zenon_H2fb zenon_H2fc zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H180 zenon_H182 zenon_H181 zenon_H147 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.09/1.26 apply (zenon_L36_); trivial. % 1.09/1.26 apply (zenon_L767_); trivial. % 1.09/1.26 (* end of lemma zenon_L768_ *) % 1.09/1.26 assert (zenon_L769_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H190 zenon_He9 zenon_H38 zenon_H2bb zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_Ha1 zenon_Ha9 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H63 zenon_H64 zenon_H65 zenon_Hfb zenon_Hfd. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.09/1.26 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.26 apply (zenon_L625_); trivial. % 1.09/1.26 apply (zenon_L768_); trivial. % 1.09/1.26 (* end of lemma zenon_L769_ *) % 1.09/1.26 assert (zenon_L770_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H190 zenon_He9 zenon_H38 zenon_H2bb zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_H88 zenon_H89 zenon_H8a zenon_Ha1 zenon_Ha9 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.09/1.26 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.09/1.26 apply (zenon_L619_); trivial. % 1.09/1.26 apply (zenon_L768_); trivial. % 1.09/1.26 (* end of lemma zenon_L770_ *) % 1.09/1.26 assert (zenon_L771_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6c zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_Hb5 zenon_H9 zenon_H53 zenon_H38 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.09/1.26 apply (zenon_L214_); trivial. % 1.09/1.26 apply (zenon_L769_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.09/1.26 apply (zenon_L214_); trivial. % 1.09/1.26 apply (zenon_L770_); trivial. % 1.09/1.26 (* end of lemma zenon_L771_ *) % 1.09/1.26 assert (zenon_L772_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H84 zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_Ha9 zenon_Ha1 zenon_Hb5 zenon_H38 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_L29_); trivial. % 1.09/1.26 apply (zenon_L771_); trivial. % 1.09/1.26 (* end of lemma zenon_L772_ *) % 1.09/1.26 assert (zenon_L773_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H149 zenon_H194 zenon_He9 zenon_H38 zenon_H2bb zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_Ha1 zenon_Ha9 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.09/1.26 apply (zenon_L91_); trivial. % 1.09/1.26 apply (zenon_L770_); trivial. % 1.09/1.26 (* end of lemma zenon_L773_ *) % 1.09/1.26 assert (zenon_L774_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6c zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_Ha9 zenon_Ha1 zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd1 zenon_H2bb zenon_H38 zenon_He9 zenon_H194. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.09/1.26 apply (zenon_L91_); trivial. % 1.09/1.26 apply (zenon_L769_); trivial. % 1.09/1.26 apply (zenon_L773_); trivial. % 1.09/1.26 (* end of lemma zenon_L774_ *) % 1.09/1.26 assert (zenon_L775_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H7b zenon_H84 zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_H88 zenon_H89 zenon_H8a zenon_Hf9 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_Ha9 zenon_Ha1 zenon_H147 zenon_Hd1 zenon_H2bb zenon_H38 zenon_He9 zenon_H194 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_L310_); trivial. % 1.09/1.26 apply (zenon_L774_); trivial. % 1.09/1.26 (* end of lemma zenon_L775_ *) % 1.09/1.26 assert (zenon_L776_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H7b zenon_H84 zenon_H196 zenon_He9 zenon_H81 zenon_H230 zenon_H1d6 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_Ha1 zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_H303 zenon_H1e8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_L310_); trivial. % 1.09/1.26 apply (zenon_L656_); trivial. % 1.09/1.26 (* end of lemma zenon_L776_ *) % 1.09/1.26 assert (zenon_L777_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H195 zenon_H80 zenon_H230 zenon_H1d6 zenon_H158 zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H16c zenon_H170 zenon_H191 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hdc zenon_H1b3 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H3 zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H84. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_L678_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_L310_); trivial. % 1.09/1.26 apply (zenon_L661_); trivial. % 1.09/1.26 (* end of lemma zenon_L777_ *) % 1.09/1.26 assert (zenon_L778_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H16c zenon_H13d zenon_Hd1 zenon_H6d zenon_H12c zenon_H12f zenon_H147 zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_H125 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H53 zenon_H81 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H1d6 zenon_H230 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.26 apply (zenon_L127_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_L645_); trivial. % 1.09/1.26 apply (zenon_L776_); trivial. % 1.09/1.26 apply (zenon_L777_); trivial. % 1.09/1.26 (* end of lemma zenon_L778_ *) % 1.09/1.26 assert (zenon_L779_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H28a zenon_H16c zenon_H158 zenon_H18c zenon_H170 zenon_H191 zenon_H1d6 zenon_H230 zenon_H1b3 zenon_Hdc zenon_H1b8 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H13 zenon_H27 zenon_H34 zenon_H38 zenon_H83 zenon_Hf zenon_H6d zenon_H84 zenon_H3 zenon_H5 zenon_Hf9 zenon_H2a3 zenon_H10d zenon_H2b2 zenon_H133 zenon_H194 zenon_He9 zenon_H2bb zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_Hb5 zenon_Ha9 zenon_H151 zenon_Hea zenon_H196 zenon_H12f zenon_H12c zenon_H125 zenon_H12a zenon_H13d zenon_H1da zenon_H303 zenon_H1e8 zenon_H1b0 zenon_H26b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.09/1.26 apply (zenon_L201_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.09/1.26 apply (zenon_L772_); trivial. % 1.09/1.26 apply (zenon_L775_); trivial. % 1.09/1.26 apply (zenon_L634_); trivial. % 1.09/1.26 apply (zenon_L778_); trivial. % 1.09/1.26 (* end of lemma zenon_L779_ *) % 1.09/1.26 assert (zenon_L780_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> False). % 1.09/1.26 do 0 intro. intros zenon_Hd3 zenon_H63 zenon_H65 zenon_H64 zenon_H111 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_Hff zenon_H18 zenon_H2fb zenon_H2fa zenon_H2fc. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.09/1.26 apply (zenon_L146_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.09/1.26 apply (zenon_L174_); trivial. % 1.09/1.26 apply (zenon_L602_); trivial. % 1.09/1.26 (* end of lemma zenon_L780_ *) % 1.09/1.26 assert (zenon_L781_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H2bb zenon_H1de zenon_H1dd zenon_H1dc zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_Hd3 zenon_H63 zenon_H65 zenon_H64 zenon_H111 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H18 zenon_H2fb zenon_H2fa zenon_H2fc. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.09/1.26 apply (zenon_L163_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.09/1.26 apply (zenon_L307_); trivial. % 1.09/1.26 apply (zenon_L780_); trivial. % 1.09/1.26 (* end of lemma zenon_L781_ *) % 1.09/1.26 assert (zenon_L782_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1e5 zenon_H303 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H64 zenon_H65 zenon_H63 zenon_Hd3 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2bb zenon_H2fa zenon_H2fb zenon_H2fc. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.09/1.26 apply (zenon_L163_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.09/1.26 apply (zenon_L781_); trivial. % 1.09/1.26 apply (zenon_L596_); trivial. % 1.09/1.26 (* end of lemma zenon_L782_ *) % 1.09/1.26 assert (zenon_L783_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2bb zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H88 zenon_H89 zenon_H8a zenon_H158 zenon_H18c zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H2ce zenon_H25 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.26 apply (zenon_L619_); trivial. % 1.12/1.26 apply (zenon_L672_); trivial. % 1.12/1.26 apply (zenon_L782_); trivial. % 1.12/1.26 (* end of lemma zenon_L783_ *) % 1.12/1.26 assert (zenon_L784_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H6c zenon_H196 zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H25 zenon_H2ce zenon_H125 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H18c zenon_H158 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H303 zenon_H1e8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L673_); trivial. % 1.12/1.27 apply (zenon_L782_); trivial. % 1.12/1.27 apply (zenon_L783_); trivial. % 1.12/1.27 (* end of lemma zenon_L784_ *) % 1.12/1.27 assert (zenon_L785_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H7b zenon_H84 zenon_H196 zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H25 zenon_H2ce zenon_H125 zenon_H1ea zenon_Hd3 zenon_H158 zenon_H1d6 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H2bb zenon_H303 zenon_H1e8 zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H170 zenon_H1c5 zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H2c8 zenon_Hdc zenon_Hde zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_H18c zenon_Hea. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L370_); trivial. % 1.12/1.27 apply (zenon_L784_); trivial. % 1.12/1.27 (* end of lemma zenon_L785_ *) % 1.12/1.27 assert (zenon_L786_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H80 zenon_H191 zenon_H82 zenon_H1da zenon_H2ce zenon_H125 zenon_H1ea zenon_Hd3 zenon_H158 zenon_H1d6 zenon_H303 zenon_H1e8 zenon_Hf9 zenon_H170 zenon_H1c5 zenon_H1e9 zenon_H1eb zenon_H12c zenon_H12f zenon_H2c8 zenon_Hdc zenon_Hde zenon_H2b2 zenon_H18c zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H194 zenon_He9 zenon_H2bb zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H38 zenon_Hb5 zenon_Ha1 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_H196 zenon_H84. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.27 apply (zenon_L772_); trivial. % 1.12/1.27 apply (zenon_L785_); trivial. % 1.12/1.27 (* end of lemma zenon_L786_ *) % 1.12/1.27 assert (zenon_L787_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1e5 zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H112 zenon_H100 zenon_H101 zenon_H147 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.27 apply (zenon_L91_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.27 apply (zenon_L163_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.27 apply (zenon_L278_); trivial. % 1.12/1.27 apply (zenon_L596_); trivial. % 1.12/1.27 (* end of lemma zenon_L787_ *) % 1.12/1.27 assert (zenon_L788_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(c3_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H195 zenon_H80 zenon_H2bb zenon_H191 zenon_H25 zenon_H2ce zenon_H1ea zenon_Hd3 zenon_H158 zenon_H1d6 zenon_H151 zenon_H194 zenon_Hf9 zenon_H170 zenon_H1c5 zenon_H1e9 zenon_H1eb zenon_H2c8 zenon_Hde zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H18c zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hdc zenon_H1b3 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H3 zenon_H13d zenon_Hd1 zenon_H12a zenon_H125 zenon_H6d zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H196 zenon_H84. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.27 apply (zenon_L678_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L370_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L673_); trivial. % 1.12/1.27 apply (zenon_L787_); trivial. % 1.12/1.27 apply (zenon_L783_); trivial. % 1.12/1.27 (* end of lemma zenon_L788_ *) % 1.12/1.27 assert (zenon_L789_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(hskp16)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (ndr1_0) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp31)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_Hfb zenon_H230 zenon_H74 zenon_H72 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H18 zenon_H172 zenon_H173 zenon_H174 zenon_H30c zenon_H8a zenon_H89 zenon_H88 zenon_H91 zenon_Hfd zenon_H10b. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.12/1.27 apply (zenon_L203_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.12/1.27 apply (zenon_L604_); trivial. % 1.12/1.27 exact (zenon_H10b zenon_H10c). % 1.12/1.27 (* end of lemma zenon_L789_ *) % 1.12/1.27 assert (zenon_L790_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp15)) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (ndr1_0) -> (c0_1 (a1534)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hfd zenon_Hd zenon_H56 zenon_H3d zenon_H3b zenon_H88 zenon_H89 zenon_H8a zenon_H1ca zenon_H174 zenon_H173 zenon_H172 zenon_H18 zenon_H2fb zenon_Hb7 zenon_H2fa zenon_H2fc zenon_H72 zenon_H74 zenon_H230 zenon_Hfb. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.12/1.27 apply (zenon_L140_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.12/1.27 apply (zenon_L603_); trivial. % 1.12/1.27 exact (zenon_Hfb zenon_Hfc). % 1.12/1.27 (* end of lemma zenon_L790_ *) % 1.12/1.27 assert (zenon_L791_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1593))) -> (c0_1 (a1593)) -> (c3_1 (a1593)) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H189 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_Hfb zenon_H72 zenon_H74 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H88 zenon_H89 zenon_H8a zenon_H56 zenon_H3d zenon_H3b zenon_Hd zenon_H1ca zenon_H2c3. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.12/1.27 apply (zenon_L203_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.12/1.27 apply (zenon_L790_); trivial. % 1.12/1.27 exact (zenon_H10b zenon_H10c). % 1.12/1.27 apply (zenon_L309_); trivial. % 1.12/1.27 (* end of lemma zenon_L791_ *) % 1.12/1.27 assert (zenon_L792_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H52 zenon_H18c zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_Hfb zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H88 zenon_H89 zenon_H8a zenon_H1ca zenon_H2c3 zenon_H15b zenon_H15c zenon_H15d zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.27 apply (zenon_L137_); trivial. % 1.12/1.27 apply (zenon_L791_); trivial. % 1.12/1.27 (* end of lemma zenon_L792_ *) % 1.12/1.27 assert (zenon_L793_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H191 zenon_H82 zenon_H1ca zenon_H1c5 zenon_H170 zenon_H25 zenon_H2ce zenon_H2c3 zenon_H30c zenon_H91 zenon_H230 zenon_Hfb zenon_Hfd zenon_H203 zenon_H202 zenon_H201 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd zenon_H2b2 zenon_H133 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.27 apply (zenon_L600_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.27 apply (zenon_L434_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.27 apply (zenon_L789_); trivial. % 1.12/1.27 apply (zenon_L309_); trivial. % 1.12/1.27 apply (zenon_L792_); trivial. % 1.12/1.27 (* end of lemma zenon_L793_ *) % 1.12/1.27 assert (zenon_L794_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H149 zenon_He9 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.27 apply (zenon_L619_); trivial. % 1.12/1.27 apply (zenon_L414_); trivial. % 1.12/1.27 (* end of lemma zenon_L794_ *) % 1.12/1.27 assert (zenon_L795_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H196 zenon_H191 zenon_H82 zenon_H1ca zenon_H1c5 zenon_H170 zenon_H25 zenon_H2ce zenon_H2c3 zenon_H30c zenon_H230 zenon_Hfd zenon_H203 zenon_H202 zenon_H201 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd zenon_H2b2 zenon_H133 zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_He9. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.27 apply (zenon_L793_); trivial. % 1.12/1.27 apply (zenon_L414_); trivial. % 1.12/1.27 apply (zenon_L794_); trivial. % 1.12/1.27 (* end of lemma zenon_L795_ *) % 1.12/1.27 assert (zenon_L796_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H251 zenon_H63 zenon_H65 zenon_H64 zenon_H111 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H225. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.12/1.27 apply (zenon_L146_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H200 | zenon_intro zenon_H226 ]. % 1.12/1.27 apply (zenon_L203_); trivial. % 1.12/1.27 exact (zenon_H225 zenon_H226). % 1.12/1.27 (* end of lemma zenon_L796_ *) % 1.12/1.27 assert (zenon_L797_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1570)) -> (~(c1_1 (a1570))) -> (~(c0_1 (a1570))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H232 zenon_H2bb zenon_H1de zenon_H1dd zenon_H1dc zenon_H2a8 zenon_H2a7 zenon_H2a6. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.12/1.27 apply (zenon_L163_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.12/1.27 apply (zenon_L307_); trivial. % 1.12/1.27 apply (zenon_L221_); trivial. % 1.12/1.27 (* end of lemma zenon_L797_ *) % 1.12/1.27 assert (zenon_L798_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1e5 zenon_H241 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_H63 zenon_H65 zenon_H64 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H303. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.27 apply (zenon_L163_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.27 apply (zenon_L796_); trivial. % 1.12/1.27 apply (zenon_L596_); trivial. % 1.12/1.27 apply (zenon_L797_); trivial. % 1.12/1.27 (* end of lemma zenon_L798_ *) % 1.12/1.27 assert (zenon_L799_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H7b zenon_H84 zenon_H1da zenon_H290 zenon_H28e zenon_H251 zenon_H125 zenon_H16c zenon_H241 zenon_H303 zenon_H2bb zenon_H1e8 zenon_He9 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_H230 zenon_H30c zenon_H2c3 zenon_H2ce zenon_H25 zenon_H170 zenon_H1c5 zenon_H1ca zenon_H82 zenon_H191 zenon_H196. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L795_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L695_); trivial. % 1.12/1.27 apply (zenon_L798_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.27 apply (zenon_L619_); trivial. % 1.12/1.27 apply (zenon_L694_); trivial. % 1.12/1.27 apply (zenon_L798_); trivial. % 1.12/1.27 (* end of lemma zenon_L799_ *) % 1.12/1.27 assert (zenon_L800_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H80 zenon_H1da zenon_H290 zenon_H28e zenon_H251 zenon_H125 zenon_H16c zenon_H241 zenon_H303 zenon_H1e8 zenon_H1d6 zenon_H158 zenon_H18c zenon_H133 zenon_H2b2 zenon_H201 zenon_H202 zenon_H203 zenon_H230 zenon_H2c3 zenon_H2ce zenon_H170 zenon_H1c5 zenon_H1ca zenon_H82 zenon_H191 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H194 zenon_He9 zenon_H2bb zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H38 zenon_Hb5 zenon_Ha1 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_H196 zenon_H84. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.27 apply (zenon_L772_); trivial. % 1.12/1.27 apply (zenon_L799_); trivial. % 1.12/1.27 (* end of lemma zenon_L800_ *) % 1.12/1.27 assert (zenon_L801_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp31)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H26b zenon_H1b0 zenon_Hf9 zenon_H13d zenon_H12a zenon_H12c zenon_H12f zenon_H196 zenon_Hea zenon_H151 zenon_Ha9 zenon_Hb5 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194 zenon_H191 zenon_H1ca zenon_H1c5 zenon_H170 zenon_H2ce zenon_H2c3 zenon_H230 zenon_H203 zenon_H202 zenon_H201 zenon_H2b2 zenon_H133 zenon_H18c zenon_H158 zenon_H1d6 zenon_H1e8 zenon_H303 zenon_H241 zenon_H16c zenon_H125 zenon_H251 zenon_H28e zenon_H290 zenon_H1da zenon_H5 zenon_H3 zenon_H84 zenon_H6d zenon_Hf zenon_H83 zenon_H38 zenon_H34 zenon_H25 zenon_H27 zenon_H13 zenon_H53 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.27 apply (zenon_L201_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.27 apply (zenon_L800_); trivial. % 1.12/1.27 apply (zenon_L634_); trivial. % 1.12/1.27 (* end of lemma zenon_L801_ *) % 1.12/1.27 assert (zenon_L802_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (c0_1 (a1534)) -> (ndr1_0) -> (c1_1 (a1539)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H230 zenon_H4b zenon_H4a zenon_H49 zenon_H2fc zenon_H2fa zenon_Hb7 zenon_H2fb zenon_H18 zenon_H202 zenon_H214 zenon_H201 zenon_H203. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.12/1.27 apply (zenon_L19_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.12/1.27 apply (zenon_L602_); trivial. % 1.12/1.27 apply (zenon_L228_); trivial. % 1.12/1.27 (* end of lemma zenon_L802_ *) % 1.12/1.27 assert (zenon_L803_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H85 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_Hd3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H28e zenon_H290. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.12/1.27 apply (zenon_L382_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd4 ]. % 1.12/1.27 apply (zenon_L382_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hb7 ]. % 1.12/1.27 apply (zenon_L174_); trivial. % 1.12/1.27 apply (zenon_L802_); trivial. % 1.12/1.27 exact (zenon_H28e zenon_H28f). % 1.12/1.27 apply (zenon_L309_); trivial. % 1.12/1.27 (* end of lemma zenon_L803_ *) % 1.12/1.27 assert (zenon_L804_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H81 zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_Hd3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H28e zenon_H290 zenon_H9 zenon_Hd zenon_Hf. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.27 apply (zenon_L7_); trivial. % 1.12/1.27 apply (zenon_L803_); trivial. % 1.12/1.27 (* end of lemma zenon_L804_ *) % 1.12/1.27 assert (zenon_L805_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (c3_1 (a1593)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (ndr1_0) -> (c0_1 (a1534)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hfd zenon_H3d zenon_H56 zenon_H3b zenon_H1 zenon_H34 zenon_H174 zenon_H173 zenon_H172 zenon_H18 zenon_H2fb zenon_Hb7 zenon_H2fa zenon_H2fc zenon_H72 zenon_H74 zenon_H230 zenon_Hfb. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.12/1.27 apply (zenon_L312_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.12/1.27 apply (zenon_L603_); trivial. % 1.12/1.27 exact (zenon_Hfb zenon_Hfc). % 1.12/1.27 (* end of lemma zenon_L805_ *) % 1.12/1.27 assert (zenon_L806_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1593)) -> (~(c2_1 (a1593))) -> (c3_1 (a1593)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H189 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_Hfb zenon_H72 zenon_H74 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H3d zenon_H56 zenon_H3b zenon_H1 zenon_H34 zenon_H2c3. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.12/1.27 apply (zenon_L203_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.12/1.27 apply (zenon_L805_); trivial. % 1.12/1.27 exact (zenon_H10b zenon_H10c). % 1.12/1.27 apply (zenon_L309_); trivial. % 1.12/1.27 (* end of lemma zenon_L806_ *) % 1.12/1.27 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H52 zenon_H18c zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_Hfb zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H34 zenon_H2c3 zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_Hd zenon_H170. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.27 apply (zenon_L360_); trivial. % 1.12/1.27 apply (zenon_L806_); trivial. % 1.12/1.27 (* end of lemma zenon_L807_ *) % 1.12/1.27 assert (zenon_L808_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H82 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_Hfd zenon_Hfb zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H34 zenon_H2c3 zenon_H1c5 zenon_Hd zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18 zenon_H1e9 zenon_H1eb zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c zenon_H18c. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.27 apply (zenon_L504_); trivial. % 1.12/1.27 apply (zenon_L807_); trivial. % 1.12/1.27 (* end of lemma zenon_L808_ *) % 1.12/1.27 assert (zenon_L809_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.27 do 0 intro. intros zenon_He9 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H1e9 zenon_H1eb zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c zenon_H18c zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.27 apply (zenon_L619_); trivial. % 1.12/1.27 apply (zenon_L505_); trivial. % 1.12/1.27 (* end of lemma zenon_L809_ *) % 1.12/1.27 assert (zenon_L810_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H18c zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_He9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L809_); trivial. % 1.12/1.27 apply (zenon_L643_); trivial. % 1.12/1.27 (* end of lemma zenon_L810_ *) % 1.12/1.27 assert (zenon_L811_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_H1da zenon_He9 zenon_H18c zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_Hd zenon_H1c5 zenon_H2c3 zenon_H34 zenon_H230 zenon_H2fc zenon_H2fa zenon_H2fb zenon_Hfd zenon_H201 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133 zenon_H82. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_L808_); trivial. % 1.12/1.27 apply (zenon_L810_); trivial. % 1.12/1.27 (* end of lemma zenon_L811_ *) % 1.12/1.27 assert (zenon_L812_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H34 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18 zenon_H1e9 zenon_H1eb zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c zenon_H18c. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.27 apply (zenon_L504_); trivial. % 1.12/1.27 apply (zenon_L313_); trivial. % 1.12/1.27 (* end of lemma zenon_L812_ *) % 1.12/1.27 assert (zenon_L813_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(hskp21)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H12e zenon_H1d6 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H34 zenon_H1 zenon_H158 zenon_H74 zenon_H73 zenon_H72 zenon_H156. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d7 ]. % 1.12/1.27 apply (zenon_L729_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H71 | zenon_intro zenon_H157 ]. % 1.12/1.27 apply (zenon_L24_); trivial. % 1.12/1.27 exact (zenon_H156 zenon_H157). % 1.12/1.27 (* end of lemma zenon_L813_ *) % 1.12/1.27 assert (zenon_L814_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(hskp21)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H133 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H34 zenon_H1 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H156 zenon_H158 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H2c3. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.27 apply (zenon_L372_); trivial. % 1.12/1.27 apply (zenon_L813_); trivial. % 1.12/1.27 (* end of lemma zenon_L814_ *) % 1.12/1.27 assert (zenon_L815_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1 zenon_H34 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H133. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.27 apply (zenon_L814_); trivial. % 1.12/1.27 apply (zenon_L700_); trivial. % 1.12/1.27 (* end of lemma zenon_L815_ *) % 1.12/1.27 assert (zenon_L816_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.27 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H1 zenon_H34 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H133 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.27 apply (zenon_L619_); trivial. % 1.12/1.27 apply (zenon_L815_); trivial. % 1.12/1.27 (* end of lemma zenon_L816_ *) % 1.12/1.27 assert (zenon_L817_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H133 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H34 zenon_H1 zenon_H158 zenon_H201 zenon_H202 zenon_H203 zenon_H2c3 zenon_H18c zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L816_); trivial. % 1.12/1.27 apply (zenon_L643_); trivial. % 1.12/1.27 (* end of lemma zenon_L817_ *) % 1.12/1.27 assert (zenon_L818_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c0_1 (a1539))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H133 zenon_H1d6 zenon_H158 zenon_H201 zenon_H2c3 zenon_H1da zenon_H191 zenon_He9 zenon_H18c zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H34 zenon_Hfd zenon_H82. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_L812_); trivial. % 1.12/1.27 apply (zenon_L817_); trivial. % 1.12/1.27 (* end of lemma zenon_L818_ *) % 1.12/1.27 assert (zenon_L819_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H80 zenon_H1d6 zenon_H1c5 zenon_H7c zenon_H81 zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_Hd3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H28e zenon_H290 zenon_Hf zenon_H82 zenon_Hfd zenon_H1 zenon_H34 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H6d zenon_H18c zenon_He9 zenon_H191 zenon_H1da zenon_H158 zenon_H322 zenon_H53 zenon_Hd1 zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H84. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L804_); trivial. % 1.12/1.27 apply (zenon_L736_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L811_); trivial. % 1.12/1.27 apply (zenon_L818_); trivial. % 1.12/1.27 (* end of lemma zenon_L819_ *) % 1.12/1.27 assert (zenon_L820_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H12a zenon_Ha9 zenon_H38 zenon_H1ca zenon_H84 zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_Hd1 zenon_H53 zenon_H322 zenon_H158 zenon_H1da zenon_H191 zenon_He9 zenon_H18c zenon_H6d zenon_H125 zenon_H170 zenon_H34 zenon_Hfd zenon_H82 zenon_Hf zenon_H290 zenon_H28e zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H230 zenon_H2fc zenon_H2fa zenon_H2fb zenon_Hd3 zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H2b2 zenon_H133 zenon_H81 zenon_H7c zenon_H1c5 zenon_H1d6 zenon_H80. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.27 apply (zenon_L819_); trivial. % 1.12/1.27 apply (zenon_L716_); trivial. % 1.12/1.27 (* end of lemma zenon_L820_ *) % 1.12/1.27 assert (zenon_L821_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H241 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_L744_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L749_); trivial. % 1.12/1.27 apply (zenon_L798_); trivial. % 1.12/1.27 (* end of lemma zenon_L821_ *) % 1.12/1.27 assert (zenon_L822_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H84 zenon_H196 zenon_H1e8 zenon_H241 zenon_H2bb zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L310_); trivial. % 1.12/1.27 apply (zenon_L821_); trivial. % 1.12/1.27 (* end of lemma zenon_L822_ *) % 1.12/1.27 assert (zenon_L823_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H133 zenon_H2b2 zenon_Hd zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.27 apply (zenon_L697_); trivial. % 1.12/1.27 apply (zenon_L309_); trivial. % 1.12/1.27 (* end of lemma zenon_L823_ *) % 1.12/1.27 assert (zenon_L824_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H80 zenon_H1d6 zenon_H2a3 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3 zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H158 zenon_H1 zenon_H34 zenon_H322 zenon_H53 zenon_Hd1 zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H84. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L823_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.27 apply (zenon_L744_); trivial. % 1.12/1.27 apply (zenon_L735_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.27 apply (zenon_L310_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_L744_); trivial. % 1.12/1.28 apply (zenon_L817_); trivial. % 1.12/1.28 (* end of lemma zenon_L824_ *) % 1.12/1.28 assert (zenon_L825_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp23)) -> (~(hskp8)) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp17)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H189 zenon_H1da zenon_H2fb zenon_H2fa zenon_H2fc zenon_H49 zenon_H4a zenon_H4b zenon_H230 zenon_H11 zenon_H25 zenon_H293 zenon_H294 zenon_H2ce zenon_H1d8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 1.12/1.28 apply (zenon_L649_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 1.12/1.28 apply (zenon_L747_); trivial. % 1.12/1.28 exact (zenon_H1d8 zenon_H1d9). % 1.12/1.28 (* end of lemma zenon_L825_ *) % 1.12/1.28 assert (zenon_L826_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp8)) -> (~(hskp23)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1543)) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H18c zenon_H1da zenon_H1d8 zenon_H25 zenon_H11 zenon_H2ce zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H147 zenon_H1c5 zenon_Hd zenon_H294 zenon_H292 zenon_H293 zenon_H201 zenon_H202 zenon_H203 zenon_H9 zenon_H53 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.28 apply (zenon_L497_); trivial. % 1.12/1.28 apply (zenon_L825_); trivial. % 1.12/1.28 (* end of lemma zenon_L826_ *) % 1.12/1.28 assert (zenon_L827_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H1e5 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2c3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H203 zenon_H202 zenon_H201 zenon_H2bb. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.12/1.28 apply (zenon_L163_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.12/1.28 apply (zenon_L307_); trivial. % 1.12/1.28 apply (zenon_L724_); trivial. % 1.12/1.28 apply (zenon_L309_); trivial. % 1.12/1.28 (* end of lemma zenon_L827_ *) % 1.12/1.28 assert (zenon_L828_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H303 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2bb zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_L744_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_L749_); trivial. % 1.12/1.28 apply (zenon_L782_); trivial. % 1.12/1.28 (* end of lemma zenon_L828_ *) % 1.12/1.28 assert (zenon_L829_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (ndr1_0) -> (c0_1 (a1534)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_H174 zenon_H173 zenon_H172 zenon_H18 zenon_H2fb zenon_Hb7 zenon_H2fa zenon_H2fc zenon_H72 zenon_H74 zenon_H230 zenon_Hfb. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.12/1.28 apply (zenon_L301_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.12/1.28 apply (zenon_L603_); trivial. % 1.12/1.28 exact (zenon_Hfb zenon_Hfc). % 1.12/1.28 (* end of lemma zenon_L829_ *) % 1.12/1.28 assert (zenon_L830_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H189 zenon_H133 zenon_H2b2 zenon_Hd zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_Hfb zenon_H72 zenon_H74 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H294 zenon_H293 zenon_H292 zenon_H2c3. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.12/1.28 apply (zenon_L203_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.12/1.28 apply (zenon_L829_); trivial. % 1.12/1.28 exact (zenon_H10b zenon_H10c). % 1.12/1.28 apply (zenon_L309_); trivial. % 1.12/1.28 (* end of lemma zenon_L830_ *) % 1.12/1.28 assert (zenon_L831_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H84 zenon_H196 zenon_H1e8 zenon_H303 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2bb zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L29_); trivial. % 1.12/1.28 apply (zenon_L828_); trivial. % 1.12/1.28 (* end of lemma zenon_L831_ *) % 1.12/1.28 assert (zenon_L832_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H196 zenon_He9 zenon_H294 zenon_H293 zenon_H1da zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H133 zenon_H2b2 zenon_Hd zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_H230 zenon_H30c zenon_H2c3 zenon_H2ce zenon_H25 zenon_H170 zenon_H1c5 zenon_H1ca zenon_H82 zenon_H191 zenon_H2bb zenon_H1e8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.28 apply (zenon_L793_); trivial. % 1.12/1.28 apply (zenon_L748_); trivial. % 1.12/1.28 apply (zenon_L827_); trivial. % 1.12/1.28 apply (zenon_L794_); trivial. % 1.12/1.28 (* end of lemma zenon_L832_ *) % 1.12/1.28 assert (zenon_L833_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1545))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H26b zenon_H191 zenon_H1ca zenon_H158 zenon_H1d6 zenon_H84 zenon_H196 zenon_H303 zenon_Hd3 zenon_H1ea zenon_H30c zenon_He9 zenon_Hfd zenon_H81 zenon_H82 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H147 zenon_H230 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2ce zenon_H25 zenon_H1da zenon_H18c zenon_Hf zenon_H2bb zenon_H2c3 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2b2 zenon_H133 zenon_H1e8 zenon_H7c zenon_H80. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.28 apply (zenon_L7_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.28 apply (zenon_L826_); trivial. % 1.12/1.28 apply (zenon_L20_); trivial. % 1.12/1.28 apply (zenon_L827_); trivial. % 1.12/1.28 apply (zenon_L828_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.28 apply (zenon_L464_); trivial. % 1.12/1.28 apply (zenon_L830_); trivial. % 1.12/1.28 apply (zenon_L807_); trivial. % 1.12/1.28 apply (zenon_L794_); trivial. % 1.12/1.28 apply (zenon_L828_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_L831_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L832_); trivial. % 1.12/1.28 apply (zenon_L828_); trivial. % 1.12/1.28 (* end of lemma zenon_L833_ *) % 1.12/1.28 assert (zenon_L834_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.28 do 0 intro. intros zenon_He9 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H18c zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.28 apply (zenon_L619_); trivial. % 1.12/1.28 apply (zenon_L480_); trivial. % 1.12/1.28 (* end of lemma zenon_L834_ *) % 1.12/1.28 assert (zenon_L835_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H18c zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H1eb zenon_H1e9 zenon_H125 zenon_H203 zenon_H202 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H170 zenon_H1da zenon_H82 zenon_He9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_L834_); trivial. % 1.12/1.28 apply (zenon_L643_); trivial. % 1.12/1.28 (* end of lemma zenon_L835_ *) % 1.12/1.28 assert (zenon_L836_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H80 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H230 zenon_H2c3 zenon_H7c zenon_H81 zenon_H82 zenon_H1 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H147 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_Hf zenon_Hfd zenon_He9 zenon_H1da zenon_H6d zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H84. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L499_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_L744_); trivial. % 1.12/1.28 apply (zenon_L835_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L811_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_L744_); trivial. % 1.12/1.28 apply (zenon_L810_); trivial. % 1.12/1.28 (* end of lemma zenon_L836_ *) % 1.12/1.28 assert (zenon_L837_ : ((ndr1_0)/\((c0_1 (a1543))/\((~(c1_1 (a1543)))/\(~(c2_1 (a1543)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H2a0 zenon_H28d zenon_H7c zenon_H147 zenon_Hd3 zenon_H84 zenon_H196 zenon_H1e8 zenon_H241 zenon_H2bb zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2ce zenon_H82 zenon_He9 zenon_Hfd zenon_H2a3 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133 zenon_H80 zenon_H1d6 zenon_H10f zenon_H2c3 zenon_H191 zenon_H170 zenon_H125 zenon_H18c zenon_H158 zenon_H34 zenon_H322 zenon_H53 zenon_Hd1 zenon_H1c5 zenon_H1ca zenon_H230 zenon_H81 zenon_Hf zenon_H38 zenon_Ha9 zenon_H12a zenon_H6d zenon_H1b0 zenon_H26b zenon_H28a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.28 apply (zenon_L822_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_L824_); trivial. % 1.12/1.28 apply (zenon_L716_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.28 apply (zenon_L833_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_L836_); trivial. % 1.12/1.28 apply (zenon_L716_); trivial. % 1.12/1.28 (* end of lemma zenon_L837_ *) % 1.12/1.28 assert (zenon_L838_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1556))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H1e8 zenon_H303 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H6d zenon_H9 zenon_H100 zenon_H101 zenon_H10d zenon_H10f zenon_Hd1 zenon_H12a zenon_H112 zenon_H125 zenon_H12c zenon_H12f zenon_H133 zenon_H53 zenon_H81 zenon_He9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.28 apply (zenon_L625_); trivial. % 1.12/1.28 apply (zenon_L341_); trivial. % 1.12/1.28 apply (zenon_L628_); trivial. % 1.12/1.28 (* end of lemma zenon_L838_ *) % 1.12/1.28 assert (zenon_L839_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.28 do 0 intro. intros zenon_He9 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_H133 zenon_H12f zenon_H12c zenon_H125 zenon_H112 zenon_H12a zenon_Hd1 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H1d8 zenon_H1da zenon_H82 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.28 apply (zenon_L619_); trivial. % 1.12/1.28 apply (zenon_L341_); trivial. % 1.12/1.28 (* end of lemma zenon_L839_ *) % 1.12/1.28 assert (zenon_L840_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H26e zenon_H1b0 zenon_H81 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H6d zenon_H10d zenon_H10f zenon_Hd1 zenon_H12a zenon_H125 zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H1b3 zenon_Hdc zenon_H196 zenon_H84 zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_Hf9 zenon_H80. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.28 apply (zenon_L260_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L29_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_L838_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_L839_); trivial. % 1.12/1.28 apply (zenon_L677_); trivial. % 1.12/1.28 apply (zenon_L259_); trivial. % 1.12/1.28 (* end of lemma zenon_L840_ *) % 1.12/1.28 assert (zenon_L841_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H26b zenon_H1b0 zenon_H81 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H6d zenon_H10d zenon_H10f zenon_Hd1 zenon_H12a zenon_H125 zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H1b3 zenon_Hdc zenon_H196 zenon_H84 zenon_Hea zenon_H264 zenon_H262 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_Hf9 zenon_H80 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_L256_); trivial. % 1.12/1.28 apply (zenon_L840_); trivial. % 1.12/1.28 (* end of lemma zenon_L841_ *) % 1.12/1.28 assert (zenon_L842_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H1e8 zenon_H303 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H158 zenon_H101 zenon_H100 zenon_H112 zenon_H18c zenon_H147 zenon_H24f zenon_H6d zenon_H9 zenon_H202 zenon_H201 zenon_H203 zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.28 apply (zenon_L625_); trivial. % 1.12/1.28 apply (zenon_L429_); trivial. % 1.12/1.28 apply (zenon_L628_); trivial. % 1.12/1.28 (* end of lemma zenon_L842_ *) % 1.12/1.28 assert (zenon_L843_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.28 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H203 zenon_H201 zenon_H202 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H24f zenon_H147 zenon_H18c zenon_H88 zenon_H89 zenon_H8a zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.28 apply (zenon_L619_); trivial. % 1.12/1.28 apply (zenon_L429_); trivial. % 1.12/1.28 (* end of lemma zenon_L843_ *) % 1.12/1.28 assert (zenon_L844_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H84 zenon_H196 zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H203 zenon_H201 zenon_H202 zenon_H6d zenon_H24f zenon_H147 zenon_H18c zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L29_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_L842_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_L843_); trivial. % 1.12/1.28 apply (zenon_L628_); trivial. % 1.12/1.28 (* end of lemma zenon_L844_ *) % 1.12/1.28 assert (zenon_L845_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H191 zenon_H18c zenon_H27c zenon_H25e zenon_H201 zenon_H202 zenon_H203 zenon_H24f zenon_H275 zenon_H274 zenon_H273 zenon_H1c5 zenon_Hd zenon_H170 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.28 apply (zenon_L600_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.28 apply (zenon_L137_); trivial. % 1.12/1.28 apply (zenon_L297_); trivial. % 1.12/1.28 (* end of lemma zenon_L845_ *) % 1.12/1.28 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H7b zenon_H84 zenon_H196 zenon_He9 zenon_H81 zenon_H230 zenon_H12a zenon_H125 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1da zenon_H82 zenon_H30c zenon_Hfd zenon_H303 zenon_H1e8 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H170 zenon_H1c5 zenon_H273 zenon_H274 zenon_H275 zenon_H24f zenon_H203 zenon_H202 zenon_H201 zenon_H25e zenon_H27c zenon_H18c zenon_H191. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L845_); trivial. % 1.12/1.28 apply (zenon_L708_); trivial. % 1.12/1.28 (* end of lemma zenon_L846_ *) % 1.12/1.28 assert (zenon_L847_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1539))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H26e zenon_H80 zenon_H230 zenon_H1d6 zenon_H1c5 zenon_H273 zenon_H274 zenon_H275 zenon_H24f zenon_H201 zenon_H25e zenon_H27c zenon_H81 zenon_H53 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H191 zenon_H82 zenon_H1da zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c zenon_H158 zenon_H12a zenon_He9 zenon_H196 zenon_H84. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.28 apply (zenon_L29_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_L711_); trivial. % 1.12/1.28 apply (zenon_L643_); trivial. % 1.12/1.28 apply (zenon_L758_); trivial. % 1.12/1.28 apply (zenon_L846_); trivial. % 1.12/1.28 (* end of lemma zenon_L847_ *) % 1.12/1.28 assert (zenon_L848_ : ((ndr1_0)/\((c1_1 (a1539))/\((c3_1 (a1539))/\(~(c0_1 (a1539)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H29d zenon_H28a zenon_H230 zenon_H1d6 zenon_H1c5 zenon_H12a zenon_H26b zenon_H1b0 zenon_H81 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H158 zenon_H18c zenon_H147 zenon_H24f zenon_H6d zenon_H125 zenon_H170 zenon_H1da zenon_H82 zenon_H191 zenon_He9 zenon_H196 zenon_H84 zenon_Hea zenon_H264 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_Hf9 zenon_H80 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260 zenon_H151 zenon_H27c zenon_H194 zenon_H286. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_L256_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.28 apply (zenon_L260_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_L844_); trivial. % 1.12/1.28 apply (zenon_L259_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_L256_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.28 apply (zenon_L275_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_L844_); trivial. % 1.12/1.28 apply (zenon_L274_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_L256_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.28 apply (zenon_L260_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.28 apply (zenon_L714_); trivial. % 1.12/1.28 apply (zenon_L259_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.28 apply (zenon_L256_); trivial. % 1.12/1.28 apply (zenon_L847_); trivial. % 1.12/1.28 (* end of lemma zenon_L848_ *) % 1.12/1.28 assert (zenon_L849_ : ((~(hskp5))\/((ndr1_0)/\((c1_1 (a1539))/\((c3_1 (a1539))/\(~(c0_1 (a1539))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H29b zenon_H230 zenon_H1d6 zenon_H1c5 zenon_H158 zenon_H24f zenon_H191 zenon_H28a zenon_H26b zenon_H1b0 zenon_H81 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H6d zenon_H10f zenon_Hd1 zenon_H12a zenon_H125 zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H1b3 zenon_H196 zenon_H84 zenon_Hea zenon_H264 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_Hf9 zenon_H80 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260 zenon_H151 zenon_H27c zenon_H194 zenon_H27e zenon_H147 zenon_H286 zenon_H18c zenon_H170 zenon_H34 zenon_H7c zenon_H28d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.28 apply (zenon_L841_); trivial. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.28 apply (zenon_L841_); trivial. % 1.12/1.28 apply (zenon_L283_); trivial. % 1.12/1.28 apply (zenon_L293_); trivial. % 1.12/1.28 apply (zenon_L848_); trivial. % 1.12/1.28 (* end of lemma zenon_L849_ *) % 1.12/1.28 assert (zenon_L850_ : (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H14c zenon_H18 zenon_Hff zenon_H2fb zenon_H2fc zenon_H2fa. % 1.12/1.28 generalize (zenon_H14c (a1534)). zenon_intro zenon_H329. % 1.12/1.28 apply (zenon_imply_s _ _ zenon_H329); [ zenon_intro zenon_H17 | zenon_intro zenon_H32a ]. % 1.12/1.28 exact (zenon_H17 zenon_H18). % 1.12/1.28 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H30b | zenon_intro zenon_H32b ]. % 1.12/1.28 apply (zenon_L610_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H300 | zenon_intro zenon_H301 ]. % 1.12/1.28 exact (zenon_H2fa zenon_H300). % 1.12/1.28 exact (zenon_H301 zenon_H2fc). % 1.12/1.28 (* end of lemma zenon_L850_ *) % 1.12/1.28 assert (zenon_L851_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H38 zenon_H264 zenon_H262 zenon_H2fb zenon_H2fc zenon_H2fa zenon_H10d zenon_H10f zenon_H257 zenon_H256 zenon_H255 zenon_H18 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.12/1.28 apply (zenon_L254_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hff | zenon_intro zenon_H110 ]. % 1.12/1.28 apply (zenon_L850_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10c | zenon_intro zenon_H10e ]. % 1.12/1.28 exact (zenon_H10b zenon_H10c). % 1.12/1.28 exact (zenon_H10d zenon_H10e). % 1.12/1.28 exact (zenon_H262 zenon_H263). % 1.12/1.28 apply (zenon_L333_); trivial. % 1.12/1.28 apply (zenon_L16_); trivial. % 1.12/1.28 (* end of lemma zenon_L851_ *) % 1.12/1.28 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (~(hskp10)) -> (~(hskp6)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H12e zenon_H322 zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_H6d zenon_H2fc zenon_H2fb zenon_H2fa zenon_H2d0 zenon_H1 zenon_H28e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H323 ]. % 1.12/1.28 apply (zenon_L75_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2f9 | zenon_intro zenon_Hab ]. % 1.12/1.28 apply (zenon_L596_); trivial. % 1.12/1.28 apply (zenon_L385_); trivial. % 1.12/1.28 (* end of lemma zenon_L852_ *) % 1.12/1.28 assert (zenon_L853_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a1556))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H133 zenon_H322 zenon_H1 zenon_H28e zenon_H2d0 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H125 zenon_H11 zenon_H112 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_L68_); trivial. % 1.12/1.28 apply (zenon_L852_); trivial. % 1.12/1.28 (* end of lemma zenon_L853_ *) % 1.12/1.28 assert (zenon_L854_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c3_1 (a1556))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H34 zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H18 zenon_H100 zenon_H101 zenon_H10d zenon_H10f zenon_H112 zenon_H125 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H2d0 zenon_H28e zenon_H1 zenon_H322 zenon_H133. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.28 apply (zenon_L853_); trivial. % 1.12/1.28 apply (zenon_L313_); trivial. % 1.12/1.28 (* end of lemma zenon_L854_ *) % 1.12/1.28 assert (zenon_L855_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (c0_1 (a1562)) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp6)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H322 zenon_H29 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H2d0 zenon_H119 zenon_H118 zenon_H117 zenon_H18 zenon_H1 zenon_H28e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H323 ]. % 1.12/1.28 apply (zenon_L72_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2f9 | zenon_intro zenon_Hab ]. % 1.12/1.28 apply (zenon_L596_); trivial. % 1.12/1.28 apply (zenon_L385_); trivial. % 1.12/1.28 (* end of lemma zenon_L855_ *) % 1.12/1.28 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (~(hskp10)) -> (~(hskp6)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H12e zenon_Hd1 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H156 zenon_H34 zenon_H158 zenon_H322 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H2d0 zenon_H1 zenon_H28e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 1.12/1.28 apply (zenon_L41_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 1.12/1.28 apply (zenon_L729_); trivial. % 1.12/1.28 apply (zenon_L855_); trivial. % 1.12/1.28 (* end of lemma zenon_L856_ *) % 1.12/1.28 assert (zenon_L857_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(hskp21)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H133 zenon_Hd1 zenon_H2d0 zenon_H28e zenon_H322 zenon_H34 zenon_H1 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H156 zenon_H158 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_L68_); trivial. % 1.12/1.28 apply (zenon_L856_); trivial. % 1.12/1.28 (* end of lemma zenon_L857_ *) % 1.12/1.28 assert (zenon_L858_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_H1da zenon_Hd1 zenon_H12a zenon_H12c zenon_H12f zenon_H158 zenon_H170 zenon_H230 zenon_H18c zenon_H191 zenon_H81 zenon_He9 zenon_H133 zenon_H322 zenon_H1 zenon_H28e zenon_H2d0 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H125 zenon_H112 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H9 zenon_H6d zenon_H34 zenon_Hfd zenon_H82. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.28 apply (zenon_L854_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.28 apply (zenon_L619_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.28 apply (zenon_L340_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.28 apply (zenon_L857_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.28 apply (zenon_L853_); trivial. % 1.12/1.28 apply (zenon_L650_); trivial. % 1.12/1.28 apply (zenon_L628_); trivial. % 1.12/1.28 (* end of lemma zenon_L858_ *) % 1.12/1.28 assert (zenon_L859_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(hskp21)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H133 zenon_H1d6 zenon_H34 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H156 zenon_H158 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_L319_); trivial. % 1.12/1.28 apply (zenon_L813_); trivial. % 1.12/1.28 (* end of lemma zenon_L859_ *) % 1.12/1.28 assert (zenon_L860_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c0_1 (a1562)) -> (c3_1 (a1562)) -> (c2_1 (a1562)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H1d4 zenon_H1 zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H119 zenon_H118 zenon_H117 zenon_H11 zenon_H7c zenon_H73 zenon_H74 zenon_H48 zenon_H72 zenon_H18 zenon_H91. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ]. % 1.12/1.28 apply (zenon_L320_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H97 | zenon_intro zenon_H92 ]. % 1.12/1.28 apply (zenon_L97_); trivial. % 1.12/1.28 exact (zenon_H91 zenon_H92). % 1.12/1.28 (* end of lemma zenon_L860_ *) % 1.12/1.28 assert (zenon_L861_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (~(hskp19)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp23)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp28)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H12e zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H91 zenon_H72 zenon_H74 zenon_H73 zenon_H7c zenon_H11 zenon_H112 zenon_H100 zenon_H101 zenon_H125 zenon_H1 zenon_H1d4 zenon_H16e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.12/1.28 apply (zenon_L95_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.12/1.28 apply (zenon_L860_); trivial. % 1.12/1.28 exact (zenon_H16e zenon_H16f). % 1.12/1.28 (* end of lemma zenon_L861_ *) % 1.12/1.28 assert (zenon_L862_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp28)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H133 zenon_H170 zenon_H16e zenon_H112 zenon_H11 zenon_H125 zenon_H91 zenon_H1d4 zenon_H15d zenon_H15c zenon_H15b zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_L319_); trivial. % 1.12/1.28 apply (zenon_L861_); trivial. % 1.12/1.28 (* end of lemma zenon_L862_ *) % 1.12/1.28 assert (zenon_L863_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1556))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H18d zenon_H82 zenon_Hfd zenon_Hfb zenon_H133 zenon_H170 zenon_H112 zenon_H125 zenon_H91 zenon_H1d4 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H72 zenon_H73 zenon_H74 zenon_H1 zenon_H7c zenon_H27 zenon_H25 zenon_H64 zenon_H65 zenon_H63 zenon_H34 zenon_H38 zenon_H18c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.28 apply (zenon_L862_); trivial. % 1.12/1.28 apply (zenon_L379_); trivial. % 1.12/1.28 apply (zenon_L313_); trivial. % 1.12/1.28 (* end of lemma zenon_L863_ *) % 1.12/1.28 assert (zenon_L864_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp20)) -> (c0_1 (a1562)) -> (c2_1 (a1562)) -> (c3_1 (a1562)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H7c zenon_Hb zenon_H119 zenon_H117 zenon_H118 zenon_H12a zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hd1 zenon_H65 zenon_H64 zenon_H19 zenon_H63 zenon_H18 zenon_H1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.12/1.28 apply (zenon_L74_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.12/1.28 apply (zenon_L265_); trivial. % 1.12/1.28 exact (zenon_H1 zenon_H2). % 1.12/1.28 (* end of lemma zenon_L864_ *) % 1.12/1.28 assert (zenon_L865_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(hskp21)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H232 zenon_H133 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H34 zenon_H1 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H156 zenon_H158 zenon_H10d zenon_H10f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_L335_); trivial. % 1.12/1.28 apply (zenon_L813_); trivial. % 1.12/1.28 (* end of lemma zenon_L865_ *) % 1.12/1.28 assert (zenon_L866_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H241 zenon_H10d zenon_H10f zenon_H251 zenon_Hde zenon_Hdc zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_H158 zenon_H156 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1 zenon_H34 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H133. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.28 apply (zenon_L330_); trivial. % 1.12/1.28 apply (zenon_L813_); trivial. % 1.12/1.28 apply (zenon_L865_); trivial. % 1.12/1.28 (* end of lemma zenon_L866_ *) % 1.12/1.28 assert (zenon_L867_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(hskp23)) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp5)) -> (ndr1_0) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> (~(c2_1 (a1574))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp29)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H251 zenon_H11 zenon_H172 zenon_H173 zenon_H174 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_Hdc zenon_H18 zenon_H4a zenon_H4b zenon_H49 zenon_Hde zenon_H225. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.12/1.29 apply (zenon_L190_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H200 | zenon_intro zenon_H226 ]. % 1.12/1.29 apply (zenon_L328_); trivial. % 1.12/1.29 exact (zenon_H225 zenon_H226). % 1.12/1.29 (* end of lemma zenon_L867_ *) % 1.12/1.29 assert (zenon_L868_ : ((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H232 zenon_H38 zenon_H34 zenon_H1 zenon_H125 zenon_H11 zenon_H174 zenon_H173 zenon_H172 zenon_H63 zenon_H65 zenon_H64 zenon_H27 zenon_H25 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H230 zenon_H73 zenon_H74 zenon_H72 zenon_H16c. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.12/1.29 apply (zenon_L190_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.12/1.29 apply (zenon_L354_); trivial. % 1.12/1.29 apply (zenon_L222_); trivial. % 1.12/1.29 apply (zenon_L16_); trivial. % 1.12/1.29 (* end of lemma zenon_L868_ *) % 1.12/1.29 assert (zenon_L869_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_Hfd zenon_Hfb zenon_H170 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H16c zenon_H230 zenon_H25 zenon_H27 zenon_H38 zenon_H18c zenon_H133 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H34 zenon_H1 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H251 zenon_H10f zenon_H10d zenon_H241. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L866_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.29 apply (zenon_L128_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.12/1.29 apply (zenon_L867_); trivial. % 1.12/1.29 apply (zenon_L868_); trivial. % 1.12/1.29 apply (zenon_L313_); trivial. % 1.12/1.29 (* end of lemma zenon_L869_ *) % 1.12/1.29 assert (zenon_L870_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H7c zenon_H101 zenon_H100 zenon_H112 zenon_H111 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H1. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.12/1.29 apply (zenon_L69_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.12/1.29 apply (zenon_L24_); trivial. % 1.12/1.29 exact (zenon_H1 zenon_H2). % 1.12/1.29 (* end of lemma zenon_L870_ *) % 1.12/1.29 assert (zenon_L871_ : ((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H1e5 zenon_H303 zenon_H1 zenon_H72 zenon_H73 zenon_H74 zenon_H112 zenon_H100 zenon_H101 zenon_H7c zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.29 apply (zenon_L163_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.29 apply (zenon_L870_); trivial. % 1.12/1.29 apply (zenon_L596_); trivial. % 1.12/1.29 (* end of lemma zenon_L871_ *) % 1.12/1.29 assert (zenon_L872_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H2fa zenon_H2fc zenon_H2fb zenon_Hff zenon_H18 zenon_H262. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 1.12/1.29 apply (zenon_L254_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H14c | zenon_intro zenon_H263 ]. % 1.12/1.29 apply (zenon_L850_); trivial. % 1.12/1.29 exact (zenon_H262 zenon_H263). % 1.12/1.29 (* end of lemma zenon_L872_ *) % 1.12/1.29 assert (zenon_L873_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(hskp20)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H147 zenon_H101 zenon_H100 zenon_Hff zenon_Hb zenon_H63 zenon_H64 zenon_H65 zenon_H134 zenon_H135 zenon_H136 zenon_H12a zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.12/1.29 apply (zenon_L64_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.12/1.29 apply (zenon_L83_); trivial. % 1.12/1.29 apply (zenon_L27_); trivial. % 1.12/1.29 (* end of lemma zenon_L873_ *) % 1.12/1.29 assert (zenon_L874_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp31)) -> (~(hskp7)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(hskp20)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H2bb zenon_H10f zenon_H10b zenon_H10d zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_H101 zenon_H100 zenon_Hb zenon_H63 zenon_H64 zenon_H65 zenon_H134 zenon_H135 zenon_H136 zenon_H12a zenon_H18 zenon_H88 zenon_H89 zenon_H8a. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H58 | zenon_intro zenon_H148 ]. % 1.12/1.29 apply (zenon_L67_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13f | zenon_intro zenon_H3c ]. % 1.12/1.29 apply (zenon_L83_); trivial. % 1.12/1.29 apply (zenon_L215_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.12/1.29 apply (zenon_L307_); trivial. % 1.12/1.29 apply (zenon_L873_); trivial. % 1.12/1.29 (* end of lemma zenon_L874_ *) % 1.12/1.29 assert (zenon_L875_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c3_1 (a1566)) -> (c2_1 (a1566)) -> (~(c1_1 (a1566))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1556))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H82 zenon_H1da zenon_H1d8 zenon_H2bb zenon_H88 zenon_H89 zenon_H8a zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H18 zenon_H12a zenon_Hb zenon_H65 zenon_H64 zenon_H63 zenon_H136 zenon_H135 zenon_H134 zenon_H147 zenon_Hd1 zenon_H112 zenon_H125 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H133. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.29 apply (zenon_L874_); trivial. % 1.12/1.29 apply (zenon_L84_); trivial. % 1.12/1.29 apply (zenon_L159_); trivial. % 1.12/1.29 (* end of lemma zenon_L875_ *) % 1.12/1.29 assert (zenon_L876_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.29 do 0 intro. intros zenon_He9 zenon_H81 zenon_H53 zenon_H9 zenon_H133 zenon_H125 zenon_H112 zenon_Hd1 zenon_H147 zenon_H63 zenon_H64 zenon_H65 zenon_H12a zenon_H100 zenon_H101 zenon_H10d zenon_H10f zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H8a zenon_H89 zenon_H88 zenon_H2bb zenon_H1d8 zenon_H1da zenon_H82 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_L619_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.29 apply (zenon_L875_); trivial. % 1.12/1.29 apply (zenon_L28_); trivial. % 1.12/1.29 (* end of lemma zenon_L876_ *) % 1.12/1.29 assert (zenon_L877_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H84 zenon_H196 zenon_Hdc zenon_H1b3 zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H147 zenon_He9 zenon_H133 zenon_H12f zenon_H12c zenon_H125 zenon_H112 zenon_H12a zenon_Hd1 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H6d zenon_H1da zenon_H82 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L29_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_L838_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_L876_); trivial. % 1.12/1.29 apply (zenon_L677_); trivial. % 1.12/1.29 (* end of lemma zenon_L877_ *) % 1.12/1.29 assert (zenon_L878_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H26b zenon_Hf zenon_H147 zenon_H1b3 zenon_Hb5 zenon_H53 zenon_H38 zenon_H264 zenon_H262 zenon_H2fb zenon_H2fc zenon_H2fa zenon_H10d zenon_H10f zenon_H257 zenon_H256 zenon_H255 zenon_H18 zenon_H34 zenon_Ha9 zenon_H133 zenon_H84 zenon_H196 zenon_H1e8 zenon_H303 zenon_H30c zenon_H1da zenon_Hd1 zenon_H12a zenon_H12c zenon_H12f zenon_H158 zenon_H170 zenon_H230 zenon_H18c zenon_H191 zenon_H81 zenon_He9 zenon_H322 zenon_H28e zenon_H2d0 zenon_H125 zenon_H6d zenon_Hfd zenon_H82 zenon_H2a3 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H1d4 zenon_H27 zenon_H25 zenon_H7c zenon_H1d6 zenon_H241 zenon_H251 zenon_Hde zenon_Hdc zenon_H2c3 zenon_H16c zenon_H2bb zenon_Hf9 zenon_Hea zenon_H80 zenon_H1b0. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L851_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_L858_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L859_); trivial. % 1.12/1.29 apply (zenon_L863_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.29 apply (zenon_L319_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.12/1.29 apply (zenon_L864_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.12/1.29 exact (zenon_H23 zenon_H24). % 1.12/1.29 exact (zenon_H25 zenon_H26). % 1.12/1.29 apply (zenon_L16_); trivial. % 1.12/1.29 apply (zenon_L159_); trivial. % 1.12/1.29 apply (zenon_L869_); trivial. % 1.12/1.29 apply (zenon_L871_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.12/1.29 apply (zenon_L323_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.12/1.29 apply (zenon_L307_); trivial. % 1.12/1.29 apply (zenon_L872_); trivial. % 1.12/1.29 apply (zenon_L258_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L260_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_L877_); trivial. % 1.12/1.29 apply (zenon_L259_); trivial. % 1.12/1.29 (* end of lemma zenon_L878_ *) % 1.12/1.29 assert (zenon_L879_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H80 zenon_H196 zenon_H151 zenon_Hf9 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_H2bb zenon_H194 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Ha8 zenon_Ha4 zenon_Ha1 zenon_H93 zenon_H38 zenon_H53 zenon_Hb5 zenon_H88 zenon_H89 zenon_H8a zenon_Ha9 zenon_H27e zenon_Hdc zenon_H25 zenon_H27 zenon_H275 zenon_H274 zenon_H273 zenon_Hd3 zenon_Hd1 zenon_Hea zenon_He9 zenon_H84. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_L349_); trivial. % 1.12/1.29 apply (zenon_L775_); trivial. % 1.12/1.29 (* end of lemma zenon_L879_ *) % 1.12/1.29 assert (zenon_L880_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((hskp19)\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a1600))/\((~(c2_1 (a1600)))/\(~(c3_1 (a1600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H1b3 zenon_He9 zenon_Hea zenon_Hd1 zenon_Hd3 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H93 zenon_Ha4 zenon_Ha8 zenon_H194 zenon_H2bb zenon_H147 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_Hf9 zenon_H151 zenon_H196 zenon_H80 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H27e zenon_Hdc zenon_H25 zenon_H27 zenon_H34 zenon_H38 zenon_H84. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.29 apply (zenon_L347_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L879_); trivial. % 1.12/1.29 apply (zenon_L280_); trivial. % 1.12/1.29 (* end of lemma zenon_L880_ *) % 1.12/1.29 assert (zenon_L881_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Heb zenon_H81 zenon_H191 zenon_H230 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H18c zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1 zenon_H34 zenon_H322 zenon_H28e zenon_H2d0 zenon_H133 zenon_H12f zenon_H12c zenon_H125 zenon_H112 zenon_H12a zenon_Hd1 zenon_H10f zenon_H10d zenon_H101 zenon_H100 zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H1d8 zenon_H1da zenon_H82. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.29 apply (zenon_L340_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L857_); trivial. % 1.12/1.29 apply (zenon_L651_); trivial. % 1.12/1.29 (* end of lemma zenon_L881_ *) % 1.12/1.29 assert (zenon_L882_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a1556))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H18 zenon_H100 zenon_H101 zenon_H10d zenon_H10f zenon_H15b zenon_H15c zenon_H15d zenon_H1d4 zenon_H91 zenon_H125 zenon_H11 zenon_H112 zenon_H170 zenon_H133. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.29 apply (zenon_L862_); trivial. % 1.12/1.29 apply (zenon_L131_); trivial. % 1.12/1.29 (* end of lemma zenon_L882_ *) % 1.12/1.29 assert (zenon_L883_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp7)) -> (~(hskp31)) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (~(c2_1 (a1565))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H7c zenon_H10d zenon_H10b zenon_H100 zenon_H101 zenon_H10f zenon_H65 zenon_H64 zenon_H19 zenon_H63 zenon_H18 zenon_H1. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H58 | zenon_intro zenon_H7f ]. % 1.12/1.29 apply (zenon_L67_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H71 | zenon_intro zenon_H2 ]. % 1.12/1.29 apply (zenon_L265_); trivial. % 1.12/1.29 exact (zenon_H1 zenon_H2). % 1.12/1.29 (* end of lemma zenon_L883_ *) % 1.12/1.29 assert (zenon_L884_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (~(hskp31)) -> (~(hskp7)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp28)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H73 zenon_H74 zenon_H72 zenon_H18 zenon_H10f zenon_H2fc zenon_H2fa zenon_H2fb zenon_H10b zenon_H10d zenon_H7c zenon_H100 zenon_H101 zenon_H65 zenon_H64 zenon_H63 zenon_H1 zenon_H16c zenon_H16e. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.12/1.29 apply (zenon_L95_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.12/1.29 apply (zenon_L883_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.12/1.29 apply (zenon_L696_); trivial. % 1.12/1.29 apply (zenon_L97_); trivial. % 1.12/1.29 exact (zenon_H16e zenon_H16f). % 1.12/1.29 (* end of lemma zenon_L884_ *) % 1.12/1.29 assert (zenon_L885_ : ((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (c2_1 (a1575)) -> (~(c1_1 (a1575))) -> (~(c0_1 (a1575))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(hskp23)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp28)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H12e zenon_H170 zenon_H15d zenon_H15c zenon_H15b zenon_H73 zenon_H74 zenon_H72 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H7c zenon_Hb zenon_H12a zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H11 zenon_Hd1 zenon_H65 zenon_H64 zenon_H63 zenon_H1 zenon_H16c zenon_H16e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.12/1.29 apply (zenon_L95_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.12/1.29 apply (zenon_L864_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.12/1.29 apply (zenon_L41_); trivial. % 1.12/1.29 apply (zenon_L97_); trivial. % 1.12/1.29 exact (zenon_H16e zenon_H16f). % 1.12/1.29 (* end of lemma zenon_L885_ *) % 1.12/1.29 assert (zenon_L886_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H85 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H230 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H125 zenon_H18c zenon_H133 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H34 zenon_H1 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H251 zenon_H10f zenon_H10d zenon_H241. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L866_); trivial. % 1.12/1.29 apply (zenon_L651_); trivial. % 1.12/1.29 (* end of lemma zenon_L886_ *) % 1.12/1.29 assert (zenon_L887_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H149 zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H2fa zenon_H2fb zenon_H2fc zenon_H303. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.29 apply (zenon_L323_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.29 apply (zenon_L129_); trivial. % 1.12/1.29 apply (zenon_L596_); trivial. % 1.12/1.29 apply (zenon_L258_); trivial. % 1.12/1.29 (* end of lemma zenon_L887_ *) % 1.12/1.29 assert (zenon_L888_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_H1b0 zenon_H80 zenon_Hea zenon_Hf9 zenon_H2c3 zenon_Hdc zenon_Hde zenon_H251 zenon_H241 zenon_H16c zenon_H1d6 zenon_H7c zenon_H1d4 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2a3 zenon_H82 zenon_Hfd zenon_H6d zenon_H125 zenon_H2d0 zenon_H28e zenon_H322 zenon_He9 zenon_H81 zenon_H191 zenon_H230 zenon_H170 zenon_H18c zenon_H158 zenon_H12f zenon_H12c zenon_H12a zenon_Hd1 zenon_H1da zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H84 zenon_H133 zenon_Ha9 zenon_H34 zenon_H255 zenon_H256 zenon_H257 zenon_H10f zenon_H10d zenon_H2fa zenon_H2fc zenon_H2fb zenon_H264 zenon_H38 zenon_H53 zenon_Hb5 zenon_H2bb zenon_H147 zenon_Hf zenon_H26b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L851_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_L854_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_L619_); trivial. % 1.12/1.29 apply (zenon_L881_); trivial. % 1.12/1.29 apply (zenon_L628_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L859_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_L882_); trivial. % 1.12/1.29 apply (zenon_L313_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L859_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.29 apply (zenon_L884_); trivial. % 1.12/1.29 apply (zenon_L885_); trivial. % 1.12/1.29 apply (zenon_L131_); trivial. % 1.12/1.29 apply (zenon_L159_); trivial. % 1.12/1.29 apply (zenon_L886_); trivial. % 1.12/1.29 apply (zenon_L871_); trivial. % 1.12/1.29 apply (zenon_L887_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L260_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L29_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_L838_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_L876_); trivial. % 1.12/1.29 apply (zenon_L643_); trivial. % 1.12/1.29 apply (zenon_L259_); trivial. % 1.12/1.29 apply (zenon_L283_); trivial. % 1.12/1.29 (* end of lemma zenon_L888_ *) % 1.12/1.29 assert (zenon_L889_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H1b3 zenon_H196 zenon_Hea zenon_H151 zenon_Ha9 zenon_Hb5 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194 zenon_H53 zenon_H12f zenon_H12c zenon_Hf9 zenon_H1e8 zenon_H303 zenon_H1d6 zenon_H158 zenon_H125 zenon_H2ce zenon_H1da zenon_H82 zenon_H191 zenon_H84 zenon_H27e zenon_Hf zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H34 zenon_H38 zenon_H81 zenon_H18c zenon_H2c8 zenon_H7c zenon_H1c5 zenon_H170 zenon_H80. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.29 apply (zenon_L363_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L786_); trivial. % 1.12/1.29 apply (zenon_L280_); trivial. % 1.12/1.29 (* end of lemma zenon_L889_ *) % 1.12/1.29 assert (zenon_L890_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> (~(hskp22)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c1_1 (a1566))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1566)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (~(hskp7)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H26d zenon_Hb3 zenon_H63 zenon_H64 zenon_H65 zenon_H134 zenon_H1a2 zenon_H136 zenon_Hf9 zenon_H294 zenon_H293 zenon_H18 zenon_H97 zenon_H10d. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.12/1.29 apply (zenon_L314_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H10e ]. % 1.12/1.29 apply (zenon_L746_); trivial. % 1.12/1.29 exact (zenon_H10d zenon_H10e). % 1.12/1.29 (* end of lemma zenon_L890_ *) % 1.12/1.29 assert (zenon_L891_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> (~(hskp22)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c1_1 (a1566))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a1566)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H16c zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H26d zenon_Hb3 zenon_H63 zenon_H64 zenon_H65 zenon_H134 zenon_H1a2 zenon_H136 zenon_Hf9 zenon_H294 zenon_H293 zenon_H18 zenon_H10d. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.12/1.29 apply (zenon_L314_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.12/1.29 apply (zenon_L41_); trivial. % 1.12/1.29 apply (zenon_L890_); trivial. % 1.12/1.29 (* end of lemma zenon_L891_ *) % 1.12/1.29 assert (zenon_L892_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H84 zenon_H196 zenon_He9 zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_H16c zenon_H26d zenon_Hf9 zenon_H6d zenon_H9 zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_L744_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_L619_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.29 apply (zenon_L891_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.29 apply (zenon_L423_); trivial. % 1.12/1.29 apply (zenon_L596_); trivial. % 1.12/1.29 apply (zenon_L258_); trivial. % 1.12/1.29 (* end of lemma zenon_L892_ *) % 1.12/1.29 assert (zenon_L893_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H195 zenon_H80 zenon_H1e8 zenon_H1 zenon_H7c zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H303 zenon_H6d zenon_Hf9 zenon_H26d zenon_H16c zenon_H255 zenon_H256 zenon_H257 zenon_H262 zenon_H264 zenon_Hea zenon_He9 zenon_H196 zenon_H84. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_L892_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_L744_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_L749_); trivial. % 1.12/1.29 apply (zenon_L871_); trivial. % 1.12/1.29 (* end of lemma zenon_L893_ *) % 1.12/1.29 assert (zenon_L894_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H194 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H147 zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H151 zenon_Hea zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H25 zenon_H2ce zenon_H82 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_L744_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_L749_); trivial. % 1.12/1.29 apply (zenon_L787_); trivial. % 1.12/1.29 (* end of lemma zenon_L894_ *) % 1.12/1.29 assert (zenon_L895_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_Hf9 zenon_H151 zenon_Hea zenon_H25 zenon_H2ce zenon_H292 zenon_H293 zenon_H294 zenon_H2a3 zenon_H2b2 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H6d zenon_H10d zenon_H10f zenon_Hd1 zenon_H12a zenon_H125 zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2bb zenon_H1b3 zenon_Hdc zenon_H196 zenon_H84. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_L877_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_L894_); trivial. % 1.12/1.29 (* end of lemma zenon_L895_ *) % 1.12/1.29 assert (zenon_L896_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_Hdc zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H303 zenon_Hf9 zenon_H26d zenon_H16c zenon_H255 zenon_H256 zenon_H257 zenon_H264 zenon_Hea zenon_He9 zenon_H196 zenon_H84. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_L744_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_L619_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.29 apply (zenon_L891_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.29 apply (zenon_L129_); trivial. % 1.12/1.29 apply (zenon_L596_); trivial. % 1.12/1.29 apply (zenon_L258_); trivial. % 1.12/1.29 apply (zenon_L283_); trivial. % 1.12/1.29 (* end of lemma zenon_L896_ *) % 1.12/1.29 assert (zenon_L897_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H151 zenon_Hf9 zenon_H170 zenon_H1c5 zenon_H12c zenon_H12f zenon_H2c8 zenon_Hdc zenon_Hde zenon_H2b2 zenon_H147 zenon_H18c zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_He9 zenon_H82 zenon_H2ce zenon_H25 zenon_H1da zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H2bb zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H303 zenon_H1e8 zenon_H196 zenon_H84. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_L831_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L370_); trivial. % 1.12/1.29 apply (zenon_L894_); trivial. % 1.12/1.29 (* end of lemma zenon_L897_ *) % 1.12/1.29 assert (zenon_L898_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1545))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H26e zenon_H1b0 zenon_H294 zenon_H293 zenon_H292 zenon_H84 zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_Ha9 zenon_Hb5 zenon_H38 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194 zenon_Hf zenon_H53 zenon_H81 zenon_H18c zenon_H2b2 zenon_Hde zenon_Hdc zenon_H2c8 zenon_H12f zenon_H12c zenon_H1eb zenon_H1e9 zenon_H1c5 zenon_H170 zenon_Hf9 zenon_H1e8 zenon_H303 zenon_H1d6 zenon_H158 zenon_Hd3 zenon_H1ea zenon_H125 zenon_H2ce zenon_H1da zenon_H82 zenon_H191 zenon_H80. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L786_); trivial. % 1.12/1.29 apply (zenon_L897_); trivial. % 1.12/1.29 (* end of lemma zenon_L898_ *) % 1.12/1.29 assert (zenon_L899_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H294 zenon_H293 zenon_H292 zenon_H196 zenon_Hea zenon_H151 zenon_Ha9 zenon_Hb5 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194 zenon_H53 zenon_H12f zenon_H12c zenon_Hf9 zenon_H1e8 zenon_H303 zenon_H1d6 zenon_H158 zenon_H125 zenon_H2ce zenon_H1da zenon_H82 zenon_H191 zenon_H84 zenon_H27e zenon_Hf zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H34 zenon_H38 zenon_H81 zenon_H18c zenon_H2c8 zenon_H7c zenon_H1c5 zenon_H170 zenon_H80. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.29 apply (zenon_L363_); trivial. % 1.12/1.29 apply (zenon_L898_); trivial. % 1.12/1.29 (* end of lemma zenon_L899_ *) % 1.12/1.29 assert (zenon_L900_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp21)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H133 zenon_H290 zenon_H28e zenon_H6d zenon_H101 zenon_H100 zenon_H112 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H11 zenon_H63 zenon_H65 zenon_H64 zenon_Hd1 zenon_H9 zenon_H53 zenon_H34 zenon_H1 zenon_H156 zenon_H158 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H24f zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.29 apply (zenon_L697_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H18. zenon_intro zenon_H130. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H119. zenon_intro zenon_H131. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H117. zenon_intro zenon_H118. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H24b | zenon_intro zenon_H250 ]. % 1.12/1.29 apply (zenon_L254_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H214 | zenon_intro zenon_Hab ]. % 1.12/1.29 apply (zenon_L389_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 1.12/1.29 apply (zenon_L315_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H29 ]. % 1.12/1.29 apply (zenon_L729_); trivial. % 1.12/1.29 apply (zenon_L730_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.12/1.29 apply (zenon_L424_); trivial. % 1.12/1.29 exact (zenon_H28e zenon_H28f). % 1.12/1.29 (* end of lemma zenon_L900_ *) % 1.12/1.29 assert (zenon_L901_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H82 zenon_Hfd zenon_Hfb zenon_H2c3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H10d zenon_H10f zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H24f zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H158 zenon_H156 zenon_H1 zenon_H34 zenon_H53 zenon_H9 zenon_Hd1 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H28e zenon_H290 zenon_H133. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_L900_); trivial. % 1.12/1.29 apply (zenon_L313_); trivial. % 1.12/1.29 (* end of lemma zenon_L901_ *) % 1.12/1.29 assert (zenon_L902_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp23)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp6)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H189 zenon_H290 zenon_H11 zenon_H202 zenon_H201 zenon_H203 zenon_H6d zenon_H101 zenon_H100 zenon_H112 zenon_H65 zenon_H64 zenon_H63 zenon_H9 zenon_H125 zenon_H28e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.12/1.29 apply (zenon_L190_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.12/1.29 apply (zenon_L424_); trivial. % 1.12/1.29 exact (zenon_H28e zenon_H28f). % 1.12/1.29 (* end of lemma zenon_L902_ *) % 1.12/1.29 assert (zenon_L903_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (ndr1_0) -> (~(c0_1 (a1575))) -> (~(c1_1 (a1575))) -> (c2_1 (a1575)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(hskp23)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H18c zenon_H290 zenon_H28e zenon_H18 zenon_H15b zenon_H15c zenon_H15d zenon_H24f zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H101 zenon_H100 zenon_H112 zenon_H202 zenon_H201 zenon_H203 zenon_H11 zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H170. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.29 apply (zenon_L426_); trivial. % 1.12/1.29 apply (zenon_L902_); trivial. % 1.12/1.29 (* end of lemma zenon_L903_ *) % 1.12/1.29 assert (zenon_L904_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H112 zenon_H100 zenon_H101 zenon_H63 zenon_H64 zenon_H65 zenon_H6d zenon_H24f zenon_H28e zenon_H290 zenon_H18c zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1 zenon_H34 zenon_H322 zenon_H9 zenon_H53 zenon_Hd1 zenon_H133. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L732_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_L903_); trivial. % 1.12/1.29 apply (zenon_L159_); trivial. % 1.12/1.29 (* end of lemma zenon_L904_ *) % 1.12/1.29 assert (zenon_L905_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp21)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H133 zenon_H1d6 zenon_H74 zenon_H73 zenon_H72 zenon_H34 zenon_H1 zenon_H156 zenon_H158 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.29 apply (zenon_L697_); trivial. % 1.12/1.29 apply (zenon_L813_); trivial. % 1.12/1.29 (* end of lemma zenon_L905_ *) % 1.12/1.29 assert (zenon_L906_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c2_1 (a1565))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H25 zenon_H2ce zenon_H290 zenon_H28e zenon_H251 zenon_H64 zenon_H65 zenon_H63 zenon_H125 zenon_H16c zenon_H230 zenon_H241 zenon_H18c zenon_H2c3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H10d zenon_H10f zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H1 zenon_H34 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H133. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L905_); trivial. % 1.12/1.29 apply (zenon_L693_); trivial. % 1.12/1.29 (* end of lemma zenon_L906_ *) % 1.12/1.29 assert (zenon_L907_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H1b0 zenon_H80 zenon_H7c zenon_H1d6 zenon_H241 zenon_H16c zenon_H230 zenon_H27 zenon_H251 zenon_H2ce zenon_H25 zenon_H2a3 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H191 zenon_H170 zenon_H18c zenon_H290 zenon_H28e zenon_H6d zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_Hd1 zenon_H53 zenon_H158 zenon_H24f zenon_Hfd zenon_H82 zenon_He9 zenon_H1da zenon_H322 zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H84 zenon_H133 zenon_Ha9 zenon_H1 zenon_H34 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3 zenon_H38. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.29 apply (zenon_L753_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L823_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L901_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_L903_); trivial. % 1.12/1.29 apply (zenon_L313_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_L619_); trivial. % 1.12/1.29 apply (zenon_L904_); trivial. % 1.12/1.29 apply (zenon_L628_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L310_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.29 apply (zenon_L905_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.29 apply (zenon_L434_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.12/1.29 apply (zenon_L391_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H18. zenon_intro zenon_H233. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H228. zenon_intro zenon_H229. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H19 | zenon_intro zenon_H291 ]. % 1.12/1.29 apply (zenon_L190_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H214 | zenon_intro zenon_H28f ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.12/1.29 apply (zenon_L389_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.12/1.29 apply (zenon_L354_); trivial. % 1.12/1.29 apply (zenon_L222_); trivial. % 1.12/1.29 exact (zenon_H28e zenon_H28f). % 1.12/1.29 apply (zenon_L16_); trivial. % 1.12/1.29 apply (zenon_L313_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.29 apply (zenon_L619_); trivial. % 1.12/1.29 apply (zenon_L906_); trivial. % 1.12/1.29 apply (zenon_L871_); trivial. % 1.12/1.29 (* end of lemma zenon_L907_ *) % 1.12/1.29 assert (zenon_L908_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H195 zenon_H80 zenon_H290 zenon_H28e zenon_H16c zenon_H1d6 zenon_H158 zenon_H18c zenon_H2b2 zenon_H230 zenon_H2c3 zenon_H2ce zenon_H25 zenon_H170 zenon_H1c5 zenon_H1ca zenon_H191 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_H303 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H82 zenon_H1da zenon_H6d zenon_H10d zenon_H10f zenon_Hd1 zenon_H12a zenon_H125 zenon_H12c zenon_H12f zenon_H133 zenon_He9 zenon_H201 zenon_H202 zenon_H203 zenon_H251 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2bb zenon_H241 zenon_H196 zenon_H84. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.29 apply (zenon_L29_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_L838_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_L839_); trivial. % 1.12/1.30 apply (zenon_L798_); trivial. % 1.12/1.30 apply (zenon_L799_); trivial. % 1.12/1.30 (* end of lemma zenon_L908_ *) % 1.12/1.30 assert (zenon_L909_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H18d zenon_H82 zenon_Hfd zenon_Hfb zenon_H65 zenon_H64 zenon_H63 zenon_H1 zenon_H34 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H202 zenon_H203 zenon_H125 zenon_H18c. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.30 apply (zenon_L252_); trivial. % 1.12/1.30 apply (zenon_L313_); trivial. % 1.12/1.30 (* end of lemma zenon_L909_ *) % 1.12/1.30 assert (zenon_L910_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1b0 zenon_H80 zenon_H1d6 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2a3 zenon_H191 zenon_H170 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H18c zenon_H290 zenon_H28e zenon_H6d zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_Hd1 zenon_H53 zenon_H158 zenon_H24f zenon_Hfd zenon_H82 zenon_He9 zenon_H1da zenon_H322 zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H84 zenon_H133 zenon_Ha9 zenon_H1 zenon_H34 zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3 zenon_H38. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.30 apply (zenon_L753_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L310_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L901_); trivial. % 1.12/1.30 apply (zenon_L909_); trivial. % 1.12/1.30 apply (zenon_L756_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L823_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L905_); trivial. % 1.12/1.30 apply (zenon_L909_); trivial. % 1.12/1.30 apply (zenon_L817_); trivial. % 1.12/1.30 (* end of lemma zenon_L910_ *) % 1.12/1.30 assert (zenon_L911_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H18c zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H1eb zenon_H1e9 zenon_Hd3 zenon_H1ea zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H203 zenon_H201 zenon_H202 zenon_H24f zenon_H170 zenon_H1da zenon_H82 zenon_He9. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L619_); trivial. % 1.12/1.30 apply (zenon_L463_); trivial. % 1.12/1.30 apply (zenon_L628_); trivial. % 1.12/1.30 (* end of lemma zenon_L911_ *) % 1.12/1.30 assert (zenon_L912_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43)))))) -> (c0_1 (a1546)) -> (c3_1 (a1546)) -> (c1_1 (a1546)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H48 zenon_H18 zenon_H2af zenon_H2a zenon_H2c zenon_H2b. % 1.12/1.30 generalize (zenon_H48 (a1546)). zenon_intro zenon_Hb0. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_H17 | zenon_intro zenon_Hb1 ]. % 1.12/1.30 exact (zenon_H17 zenon_H18). % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H2f ]. % 1.12/1.30 generalize (zenon_H2af (a1546)). zenon_intro zenon_H32c. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H32c); [ zenon_intro zenon_H17 | zenon_intro zenon_H32d ]. % 1.12/1.30 exact (zenon_H17 zenon_H18). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30 | zenon_intro zenon_Hae ]. % 1.12/1.30 exact (zenon_H30 zenon_H2a). % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haf | zenon_intro zenon_H31 ]. % 1.12/1.30 exact (zenon_Haf zenon_Hb2). % 1.12/1.30 exact (zenon_H31 zenon_H2c). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 1.12/1.30 exact (zenon_H32 zenon_H2b). % 1.12/1.30 exact (zenon_H31 zenon_H2c). % 1.12/1.30 (* end of lemma zenon_L912_ *) % 1.12/1.30 assert (zenon_L913_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1542)) -> (c2_1 (a1542)) -> (c1_1 (a1542)) -> (ndr1_0) -> (c0_1 (a1534)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (c0_1 (a1546)) -> (c3_1 (a1546)) -> (c1_1 (a1546)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp15)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H174 zenon_H173 zenon_H172 zenon_H18 zenon_H2fb zenon_Hb7 zenon_H2fa zenon_H2fc zenon_H2a zenon_H2c zenon_H2b zenon_H230 zenon_Hd. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2b3 ]. % 1.12/1.30 apply (zenon_L307_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2af | zenon_intro zenon_He ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H48 | zenon_intro zenon_H231 ]. % 1.12/1.30 apply (zenon_L912_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Hff | zenon_intro zenon_Hab ]. % 1.12/1.30 apply (zenon_L602_); trivial. % 1.12/1.30 apply (zenon_L130_); trivial. % 1.12/1.30 exact (zenon_Hd zenon_He). % 1.12/1.30 (* end of lemma zenon_L913_ *) % 1.12/1.30 assert (zenon_L914_ : ((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (c1_1 (a1542)) -> (c2_1 (a1542)) -> (c3_1 (a1542)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H33 zenon_H133 zenon_H201 zenon_H202 zenon_H203 zenon_H2b2 zenon_Hd zenon_H2fb zenon_H2fa zenon_H2fc zenon_H172 zenon_H173 zenon_H174 zenon_H230 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2c3. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H18. zenon_intro zenon_H35. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H2a. zenon_intro zenon_H36. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H200 | zenon_intro zenon_H2c4 ]. % 1.12/1.30 apply (zenon_L203_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10c ]. % 1.12/1.30 apply (zenon_L913_); trivial. % 1.12/1.30 exact (zenon_H10b zenon_H10c). % 1.12/1.30 apply (zenon_L309_); trivial. % 1.12/1.30 (* end of lemma zenon_L914_ *) % 1.12/1.30 assert (zenon_L915_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp23)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H18c zenon_H38 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_Hd3 zenon_H27 zenon_H1ea zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_Hd zenon_H2b2 zenon_H133 zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H2ce zenon_H11 zenon_H25 zenon_H170. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.30 apply (zenon_L464_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.12/1.30 apply (zenon_L454_); trivial. % 1.12/1.30 apply (zenon_L914_); trivial. % 1.12/1.30 (* end of lemma zenon_L915_ *) % 1.12/1.30 assert (zenon_L916_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (~(c1_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(hskp15)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1545)) -> (~(c0_1 (a1545))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H196 zenon_He9 zenon_H30c zenon_H18c zenon_H38 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_Hd3 zenon_H27 zenon_H1ea zenon_H201 zenon_H202 zenon_H203 zenon_H2a6 zenon_H2a8 zenon_H2a7 zenon_H2c3 zenon_Hd zenon_H2b2 zenon_H133 zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H1eb zenon_H1e9 zenon_H18 zenon_H2ce zenon_H25 zenon_H170 zenon_H1c5 zenon_H34 zenon_Hfd zenon_H82. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.30 apply (zenon_L915_); trivial. % 1.12/1.30 apply (zenon_L807_); trivial. % 1.12/1.30 apply (zenon_L794_); trivial. % 1.12/1.30 (* end of lemma zenon_L916_ *) % 1.12/1.30 assert (zenon_L917_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H25 zenon_H2ce zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H18c zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1 zenon_H34 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H133. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L814_); trivial. % 1.12/1.30 apply (zenon_L671_); trivial. % 1.12/1.30 (* end of lemma zenon_L917_ *) % 1.12/1.30 assert (zenon_L918_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (ndr1_0) -> (~(c1_1 (a1566))) -> (c2_1 (a1566)) -> (c3_1 (a1566)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> False). % 1.12/1.30 do 0 intro. intros zenon_He9 zenon_H191 zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H25 zenon_H2ce zenon_H125 zenon_H63 zenon_H65 zenon_H64 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H18c zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H158 zenon_H1 zenon_H34 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H133 zenon_H18 zenon_H134 zenon_H135 zenon_H136 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L619_); trivial. % 1.12/1.30 apply (zenon_L917_); trivial. % 1.12/1.30 (* end of lemma zenon_L918_ *) % 1.12/1.30 assert (zenon_L919_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1b0 zenon_H80 zenon_H1d6 zenon_H158 zenon_H191 zenon_H1c5 zenon_H2ce zenon_H7c zenon_H81 zenon_H2b2 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H28e zenon_H290 zenon_Hf zenon_H82 zenon_Hfd zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H24f zenon_H6d zenon_H18c zenon_He9 zenon_H1da zenon_H30c zenon_H303 zenon_H1e8 zenon_H196 zenon_H84 zenon_H133 zenon_Ha9 zenon_H1 zenon_H34 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_H18 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H38. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.30 apply (zenon_L453_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L804_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_L460_); trivial. % 1.12/1.30 apply (zenon_L911_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L916_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_L466_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_L918_); trivial. % 1.12/1.30 apply (zenon_L871_); trivial. % 1.12/1.30 (* end of lemma zenon_L919_ *) % 1.12/1.30 assert (zenon_L920_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Heb zenon_H82 zenon_H1da zenon_H1d8 zenon_H170 zenon_H255 zenon_H256 zenon_H257 zenon_H125 zenon_H203 zenon_H201 zenon_H202 zenon_H112 zenon_H100 zenon_H101 zenon_H24f zenon_H1e9 zenon_H1eb zenon_H63 zenon_H64 zenon_H65 zenon_H9 zenon_H6d zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_H18c. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.30 apply (zenon_L457_); trivial. % 1.12/1.30 apply (zenon_L428_); trivial. % 1.12/1.30 apply (zenon_L159_); trivial. % 1.12/1.30 (* end of lemma zenon_L920_ *) % 1.12/1.30 assert (zenon_L921_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp17)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Heb zenon_H81 zenon_H230 zenon_H12a zenon_H65 zenon_H64 zenon_H63 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H24f zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H201 zenon_H203 zenon_H147 zenon_H257 zenon_H256 zenon_H255 zenon_H2ce zenon_H25 zenon_H73 zenon_H74 zenon_H72 zenon_H170 zenon_H1d8 zenon_H1da zenon_H82 zenon_H191. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L637_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.30 apply (zenon_L435_); trivial. % 1.12/1.30 apply (zenon_L159_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L94_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.30 apply (zenon_L435_); trivial. % 1.12/1.30 apply (zenon_L650_); trivial. % 1.12/1.30 (* end of lemma zenon_L921_ *) % 1.12/1.30 assert (zenon_L922_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H7b zenon_H84 zenon_H194 zenon_Hf9 zenon_H151 zenon_Hea zenon_H81 zenon_H12a zenon_H24f zenon_H125 zenon_H101 zenon_H100 zenon_H112 zenon_H147 zenon_H257 zenon_H256 zenon_H255 zenon_H1da zenon_H303 zenon_H251 zenon_H2bb zenon_H241 zenon_H1e8 zenon_He9 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_H230 zenon_H30c zenon_H2c3 zenon_H2ce zenon_H25 zenon_H170 zenon_H1c5 zenon_H1ca zenon_H82 zenon_H191 zenon_H196. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L795_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L625_); trivial. % 1.12/1.30 apply (zenon_L921_); trivial. % 1.12/1.30 apply (zenon_L798_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L619_); trivial. % 1.12/1.30 apply (zenon_L921_); trivial. % 1.12/1.30 apply (zenon_L787_); trivial. % 1.12/1.30 (* end of lemma zenon_L922_ *) % 1.12/1.30 assert (zenon_L923_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(hskp6))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_Hf9 zenon_H151 zenon_Hea zenon_H12a zenon_H1d6 zenon_H158 zenon_H2ce zenon_H25 zenon_H1c5 zenon_H1ca zenon_H191 zenon_H81 zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_H203 zenon_H202 zenon_H201 zenon_Hd3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H230 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H28e zenon_H290 zenon_Hf zenon_H1e8 zenon_H241 zenon_H2bb zenon_H251 zenon_H303 zenon_Hfd zenon_H88 zenon_H89 zenon_H8a zenon_H30c zenon_H18c zenon_H147 zenon_H6d zenon_H24f zenon_H125 zenon_H257 zenon_H256 zenon_H255 zenon_H170 zenon_H1da zenon_H82 zenon_He9 zenon_H196 zenon_H84. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L804_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L625_); trivial. % 1.12/1.30 apply (zenon_L920_); trivial. % 1.12/1.30 apply (zenon_L798_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L619_); trivial. % 1.12/1.30 apply (zenon_L920_); trivial. % 1.12/1.30 apply (zenon_L628_); trivial. % 1.12/1.30 apply (zenon_L922_); trivial. % 1.12/1.30 (* end of lemma zenon_L923_ *) % 1.12/1.30 assert (zenon_L924_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c2_1 (a1535))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1da zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H2dd zenon_H2db zenon_H1a2 zenon_H2dc zenon_H18 zenon_H1d8. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 1.12/1.30 apply (zenon_L41_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 1.12/1.30 apply (zenon_L516_); trivial. % 1.12/1.30 exact (zenon_H1d8 zenon_H1d9). % 1.12/1.30 (* end of lemma zenon_L924_ *) % 1.12/1.30 assert (zenon_L925_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp14)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Heb zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H9 zenon_H63 zenon_H64 zenon_H65 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.30 apply (zenon_L924_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.30 apply (zenon_L423_); trivial. % 1.12/1.30 apply (zenon_L596_); trivial. % 1.12/1.30 (* end of lemma zenon_L925_ *) % 1.12/1.30 assert (zenon_L926_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H9 zenon_H65 zenon_H64 zenon_H63 zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_He9. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L619_); trivial. % 1.12/1.30 apply (zenon_L925_); trivial. % 1.12/1.30 apply (zenon_L628_); trivial. % 1.12/1.30 (* end of lemma zenon_L926_ *) % 1.12/1.30 assert (zenon_L927_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H84 zenon_H196 zenon_He9 zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_H6d zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L29_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L625_); trivial. % 1.12/1.30 apply (zenon_L925_); trivial. % 1.12/1.30 apply (zenon_L628_); trivial. % 1.12/1.30 apply (zenon_L926_); trivial. % 1.12/1.30 (* end of lemma zenon_L927_ *) % 1.12/1.30 assert (zenon_L928_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H18d zenon_H18c zenon_H303 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H30c zenon_H91 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H1da zenon_H1d8 zenon_H2dd zenon_H2db zenon_H2dc zenon_H230 zenon_Hfb zenon_Hfd zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.30 apply (zenon_L137_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hfe ]. % 1.12/1.30 apply (zenon_L601_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H62 | zenon_intro zenon_Hfc ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 1.12/1.30 apply (zenon_L603_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 1.12/1.30 apply (zenon_L516_); trivial. % 1.12/1.30 exact (zenon_H1d8 zenon_H1d9). % 1.12/1.30 exact (zenon_Hfb zenon_Hfc). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.30 apply (zenon_L129_); trivial. % 1.12/1.30 apply (zenon_L596_); trivial. % 1.12/1.30 (* end of lemma zenon_L928_ *) % 1.12/1.30 assert (zenon_L929_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Heb zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.30 apply (zenon_L924_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.30 apply (zenon_L129_); trivial. % 1.12/1.30 apply (zenon_L596_); trivial. % 1.12/1.30 (* end of lemma zenon_L929_ *) % 1.12/1.30 assert (zenon_L930_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H303 zenon_He9. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L619_); trivial. % 1.12/1.30 apply (zenon_L929_); trivial. % 1.12/1.30 apply (zenon_L643_); trivial. % 1.12/1.30 (* end of lemma zenon_L930_ *) % 1.12/1.30 assert (zenon_L931_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H196 zenon_He9 zenon_H158 zenon_H101 zenon_H100 zenon_H112 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_Hd zenon_H1c5 zenon_Hfd zenon_H230 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H303 zenon_H18c zenon_H191 zenon_H1e8. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L94_); trivial. % 1.12/1.30 apply (zenon_L928_); trivial. % 1.12/1.30 apply (zenon_L929_); trivial. % 1.12/1.30 apply (zenon_L643_); trivial. % 1.12/1.30 apply (zenon_L930_); trivial. % 1.12/1.30 (* end of lemma zenon_L931_ *) % 1.12/1.30 assert (zenon_L932_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H6c zenon_H196 zenon_He9 zenon_H303 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_H1e8. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L625_); trivial. % 1.12/1.30 apply (zenon_L929_); trivial. % 1.12/1.30 apply (zenon_L643_); trivial. % 1.12/1.30 apply (zenon_L930_); trivial. % 1.12/1.30 (* end of lemma zenon_L932_ *) % 1.12/1.30 assert (zenon_L933_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H195 zenon_H80 zenon_H191 zenon_H18c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H230 zenon_H1c5 zenon_H170 zenon_H158 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H303 zenon_He9 zenon_H196 zenon_H84. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.30 apply (zenon_L927_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L931_); trivial. % 1.12/1.30 apply (zenon_L932_); trivial. % 1.12/1.30 (* end of lemma zenon_L933_ *) % 1.12/1.30 assert (zenon_L934_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_H125 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H53 zenon_H81 zenon_H230 zenon_H1ca zenon_H1c5 zenon_H1d6 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.30 apply (zenon_L127_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.30 apply (zenon_L658_); trivial. % 1.12/1.30 apply (zenon_L933_); trivial. % 1.12/1.30 (* end of lemma zenon_L934_ *) % 1.12/1.30 assert (zenon_L935_ : ((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H52 zenon_H2ee zenon_H182 zenon_H181 zenon_H180 zenon_H2dd zenon_H2dc zenon_H2db. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H18. zenon_intro zenon_H54. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H3d. zenon_intro zenon_H55. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H3b. zenon_intro zenon_H56. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ef ]. % 1.12/1.30 apply (zenon_L103_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2da | zenon_intro zenon_H1c7 ]. % 1.12/1.30 apply (zenon_L507_); trivial. % 1.12/1.30 apply (zenon_L139_); trivial. % 1.12/1.30 (* end of lemma zenon_L935_ *) % 1.12/1.30 assert (zenon_L936_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c1_1 (a1573))) -> (~(c3_1 (a1573))) -> (c0_1 (a1573)) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H18d zenon_H82 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H13 zenon_H3 zenon_H170 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H72 zenon_H74 zenon_H73 zenon_H16c zenon_H147 zenon_H8a zenon_H89 zenon_H88 zenon_H182 zenon_H181 zenon_H180 zenon_Hdc zenon_Hde zenon_H18c zenon_H83. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.30 apply (zenon_L107_); trivial. % 1.12/1.30 apply (zenon_L935_); trivial. % 1.12/1.30 (* end of lemma zenon_L936_ *) % 1.12/1.30 assert (zenon_L937_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c0_1 (a1572))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Heb zenon_H191 zenon_H82 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H13 zenon_H3 zenon_H170 zenon_H16c zenon_H147 zenon_H182 zenon_H181 zenon_H180 zenon_Hdc zenon_Hde zenon_H18c zenon_H83 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L600_); trivial. % 1.12/1.30 apply (zenon_L936_); trivial. % 1.12/1.30 (* end of lemma zenon_L937_ *) % 1.12/1.30 assert (zenon_L938_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H149 zenon_H194 zenon_He9 zenon_H191 zenon_H82 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H13 zenon_H3 zenon_H170 zenon_H16c zenon_H147 zenon_Hdc zenon_Hde zenon_H18c zenon_H83 zenon_H158 zenon_H1d6 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.30 apply (zenon_L91_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_L619_); trivial. % 1.12/1.30 apply (zenon_L937_); trivial. % 1.12/1.30 (* end of lemma zenon_L938_ *) % 1.12/1.30 assert (zenon_L939_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_H18 zenon_H88 zenon_H89 zenon_H8a zenon_H72 zenon_H73 zenon_H74 zenon_Hf9 zenon_H191 zenon_H82 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H13 zenon_H3 zenon_H170 zenon_Hd zenon_H1c5 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hfd zenon_H230 zenon_H30c zenon_Hd3 zenon_H18c zenon_H83 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1d6 zenon_Hde zenon_Hdc zenon_H147 zenon_H16c zenon_He9 zenon_H194. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.30 apply (zenon_L91_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L600_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.30 apply (zenon_L664_); trivial. % 1.12/1.30 apply (zenon_L935_); trivial. % 1.12/1.30 apply (zenon_L937_); trivial. % 1.12/1.30 apply (zenon_L938_); trivial. % 1.12/1.30 (* end of lemma zenon_L939_ *) % 1.12/1.30 assert (zenon_L940_ : ((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H190 zenon_H303 zenon_H2dd zenon_H2db zenon_H2dc zenon_H2ee zenon_H8a zenon_H89 zenon_H88 zenon_H112 zenon_H100 zenon_H101 zenon_H147 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.30 apply (zenon_L517_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.30 apply (zenon_L278_); trivial. % 1.12/1.30 apply (zenon_L596_); trivial. % 1.12/1.30 (* end of lemma zenon_L940_ *) % 1.12/1.30 assert (zenon_L941_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H7b zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H112 zenon_H100 zenon_H101 zenon_H147 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.30 apply (zenon_L91_); trivial. % 1.12/1.30 apply (zenon_L940_); trivial. % 1.12/1.30 (* end of lemma zenon_L941_ *) % 1.12/1.30 assert (zenon_L942_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H147 zenon_H2ee zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H303 zenon_He9 zenon_H196 zenon_H84. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.30 apply (zenon_L927_); trivial. % 1.12/1.30 apply (zenon_L941_); trivial. % 1.12/1.30 (* end of lemma zenon_L942_ *) % 1.12/1.30 assert (zenon_L943_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H317 zenon_H18 zenon_H3c zenon_H2db zenon_H2dd zenon_H2dc. % 1.12/1.30 generalize (zenon_H317 (a1535)). zenon_intro zenon_H32e. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H32e); [ zenon_intro zenon_H17 | zenon_intro zenon_H32f ]. % 1.12/1.30 exact (zenon_H17 zenon_H18). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H2ed | zenon_intro zenon_H330 ]. % 1.12/1.30 generalize (zenon_H3c (a1535)). zenon_intro zenon_H331. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H331); [ zenon_intro zenon_H17 | zenon_intro zenon_H332 ]. % 1.12/1.30 exact (zenon_H17 zenon_H18). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e8 ]. % 1.12/1.30 exact (zenon_H2db zenon_H2e1). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2e2 ]. % 1.12/1.30 exact (zenon_H2e9 zenon_H2ed). % 1.12/1.30 exact (zenon_H2e2 zenon_H2dd). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e3 ]. % 1.12/1.30 exact (zenon_H2db zenon_H2e1). % 1.12/1.30 exact (zenon_H2dc zenon_H2e3). % 1.12/1.30 (* end of lemma zenon_L943_ *) % 1.12/1.30 assert (zenon_L944_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H158 zenon_H2dc zenon_H2dd zenon_H2db zenon_H317 zenon_H101 zenon_H100 zenon_H112 zenon_H18 zenon_H156. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H3c | zenon_intro zenon_H159 ]. % 1.12/1.30 apply (zenon_L943_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H153 | zenon_intro zenon_H157 ]. % 1.12/1.30 apply (zenon_L92_); trivial. % 1.12/1.30 exact (zenon_H156 zenon_H157). % 1.12/1.30 (* end of lemma zenon_L944_ *) % 1.12/1.30 assert (zenon_L945_ : ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (~(c2_1 (a1535))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1da zenon_H2fc zenon_H2fa zenon_H2fb zenon_Hff zenon_H2dd zenon_H2db zenon_H1a2 zenon_H2dc zenon_H18 zenon_H1d8. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1db ]. % 1.12/1.30 apply (zenon_L602_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1d9 ]. % 1.12/1.30 apply (zenon_L516_); trivial. % 1.12/1.30 exact (zenon_H1d8 zenon_H1d9). % 1.12/1.30 (* end of lemma zenon_L945_ *) % 1.12/1.30 assert (zenon_L946_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (ndr1_0) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_Hff zenon_H1da zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H18 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.30 apply (zenon_L945_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.30 apply (zenon_L129_); trivial. % 1.12/1.30 apply (zenon_L596_); trivial. % 1.12/1.30 (* end of lemma zenon_L946_ *) % 1.12/1.30 assert (zenon_L947_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp21)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (ndr1_0) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H320 zenon_H156 zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H18 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H317 | zenon_intro zenon_H321 ]. % 1.12/1.30 apply (zenon_L944_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hff ]. % 1.12/1.30 apply (zenon_L174_); trivial. % 1.12/1.30 apply (zenon_L946_); trivial. % 1.12/1.30 (* end of lemma zenon_L947_ *) % 1.12/1.30 assert (zenon_L948_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(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)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1e8 zenon_H191 zenon_H18c zenon_H30c zenon_H8a zenon_H89 zenon_H88 zenon_H230 zenon_Hfb zenon_Hfd zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170 zenon_H158 zenon_H101 zenon_H100 zenon_H112 zenon_H2dc zenon_H2dd zenon_H2db zenon_H18 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H303 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H1da zenon_H320 zenon_He9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L947_); trivial. % 1.12/1.30 apply (zenon_L928_); trivial. % 1.12/1.30 apply (zenon_L929_); trivial. % 1.12/1.30 apply (zenon_L643_); trivial. % 1.12/1.30 (* end of lemma zenon_L948_ *) % 1.12/1.30 assert (zenon_L949_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (ndr1_0) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(hskp15)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H196 zenon_He9 zenon_H320 zenon_H1da zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H303 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H18 zenon_H2db zenon_H2dd zenon_H2dc zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_H170 zenon_H72 zenon_H74 zenon_H73 zenon_Hd zenon_H1c5 zenon_Hfd zenon_H230 zenon_H88 zenon_H89 zenon_H8a zenon_H30c zenon_H18c zenon_H191 zenon_H1e8. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_L948_); trivial. % 1.12/1.30 apply (zenon_L930_); trivial. % 1.12/1.30 (* end of lemma zenon_L949_ *) % 1.12/1.30 assert (zenon_L950_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H195 zenon_H80 zenon_H191 zenon_H18c zenon_H230 zenon_H1c5 zenon_H170 zenon_H158 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H320 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H303 zenon_He9 zenon_H196 zenon_H84. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.30 apply (zenon_L927_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.30 apply (zenon_L949_); trivial. % 1.12/1.30 apply (zenon_L932_); trivial. % 1.12/1.30 (* end of lemma zenon_L950_ *) % 1.12/1.30 assert (zenon_L951_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H320 zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H84 zenon_H196 zenon_He9 zenon_H12a zenon_H158 zenon_H18c zenon_Ha9 zenon_H125 zenon_H170 zenon_H38 zenon_H1da zenon_H82 zenon_H191 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_Hf zenon_H53 zenon_H81 zenon_H230 zenon_H1ca zenon_H1c5 zenon_H1d6 zenon_H5 zenon_H3 zenon_H1b3 zenon_Hdc zenon_H7c zenon_H80 zenon_H1b8. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.30 apply (zenon_L127_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.30 apply (zenon_L658_); trivial. % 1.12/1.30 apply (zenon_L950_); trivial. % 1.12/1.30 (* end of lemma zenon_L951_ *) % 1.12/1.30 assert (zenon_L952_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H6c zenon_H196 zenon_H194 zenon_He9 zenon_H191 zenon_H82 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H13 zenon_H3 zenon_H170 zenon_H16c zenon_H147 zenon_Hdc zenon_Hde zenon_H18c zenon_H83 zenon_H158 zenon_H1d6 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_Hf9 zenon_H74 zenon_H73 zenon_H72 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.30 apply (zenon_L744_); trivial. % 1.12/1.30 apply (zenon_L938_); trivial. % 1.12/1.30 (* end of lemma zenon_L952_ *) % 1.12/1.30 assert (zenon_L953_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a1574)) -> (c1_1 (a1574)) -> (~(c2_1 (a1574))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H53 zenon_H2dc zenon_H2dd zenon_H2db zenon_H317 zenon_H4b zenon_H4a zenon_H49 zenon_H18 zenon_H9. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H3c | zenon_intro zenon_H57 ]. % 1.12/1.30 apply (zenon_L943_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha ]. % 1.12/1.30 apply (zenon_L19_); trivial. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 (* end of lemma zenon_L953_ *) % 1.12/1.30 assert (zenon_L954_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp14)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_Hff zenon_H1da zenon_Hdc zenon_H9 zenon_H112 zenon_H100 zenon_H101 zenon_H1b3 zenon_H18 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.30 apply (zenon_L945_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.30 apply (zenon_L276_); trivial. % 1.12/1.30 apply (zenon_L596_); trivial. % 1.12/1.30 (* end of lemma zenon_L954_ *) % 1.12/1.30 assert (zenon_L955_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp14)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H85 zenon_H320 zenon_H53 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_Hdc zenon_H9 zenon_H112 zenon_H100 zenon_H101 zenon_H1b3 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H317 | zenon_intro zenon_H321 ]. % 1.12/1.30 apply (zenon_L953_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hff ]. % 1.12/1.30 apply (zenon_L174_); trivial. % 1.12/1.30 apply (zenon_L954_); trivial. % 1.12/1.30 (* end of lemma zenon_L955_ *) % 1.12/1.30 assert (zenon_L956_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(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)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1e8 zenon_Hf zenon_Hd zenon_H9 zenon_H53 zenon_H2dc zenon_H2dd zenon_H2db zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H303 zenon_H112 zenon_H100 zenon_H101 zenon_Hdc zenon_H1b3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H1da zenon_H320 zenon_H81. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.31 apply (zenon_L7_); trivial. % 1.12/1.31 apply (zenon_L955_); trivial. % 1.12/1.31 apply (zenon_L677_); trivial. % 1.12/1.31 (* end of lemma zenon_L956_ *) % 1.12/1.31 assert (zenon_L957_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H9 zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.31 apply (zenon_L744_); trivial. % 1.12/1.31 apply (zenon_L926_); trivial. % 1.12/1.31 (* end of lemma zenon_L957_ *) % 1.12/1.31 assert (zenon_L958_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H84 zenon_H196 zenon_H30c zenon_H6d zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_H81 zenon_H320 zenon_H1da zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1b3 zenon_Hdc zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H53 zenon_H9 zenon_Hf zenon_H1e8. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_L956_); trivial. % 1.12/1.31 apply (zenon_L957_); trivial. % 1.12/1.31 (* end of lemma zenon_L958_ *) % 1.12/1.31 assert (zenon_L959_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(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)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H147 zenon_H2ee zenon_Hf9 zenon_H8a zenon_H89 zenon_H88 zenon_H25 zenon_H151 zenon_Hea zenon_H1e8 zenon_Hf zenon_H53 zenon_H2dc zenon_H2dd zenon_H2db zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H303 zenon_Hdc zenon_H1b3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H1da zenon_H320 zenon_H81 zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_He9 zenon_H6d zenon_H30c zenon_H196 zenon_H84. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L958_); trivial. % 1.12/1.31 apply (zenon_L941_); trivial. % 1.12/1.31 (* end of lemma zenon_L959_ *) % 1.12/1.31 assert (zenon_L960_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (ndr1_0) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H133 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H18 zenon_H201 zenon_H202 zenon_H203 zenon_H10f zenon_H10d zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2c3. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.31 apply (zenon_L697_); trivial. % 1.12/1.31 apply (zenon_L508_); trivial. % 1.12/1.31 (* end of lemma zenon_L960_ *) % 1.12/1.31 assert (zenon_L961_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H18d zenon_H18c zenon_H21d zenon_He0 zenon_H202 zenon_H201 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H15a | zenon_intro zenon_H171 ]. % 1.12/1.31 apply (zenon_L95_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H48 | zenon_intro zenon_H16f ]. % 1.12/1.31 apply (zenon_L588_); trivial. % 1.12/1.31 exact (zenon_H16e zenon_H16f). % 1.12/1.31 apply (zenon_L528_); trivial. % 1.12/1.31 (* end of lemma zenon_L961_ *) % 1.12/1.31 assert (zenon_L962_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H195 zenon_H191 zenon_H18c zenon_H21d zenon_He0 zenon_H202 zenon_H201 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H88 zenon_H89 zenon_H8a zenon_H158. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L94_); trivial. % 1.12/1.31 apply (zenon_L961_); trivial. % 1.12/1.31 (* end of lemma zenon_L962_ *) % 1.12/1.31 assert (zenon_L963_ : ((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H189 zenon_H322 zenon_H19b zenon_H19a zenon_H199 zenon_H2fc zenon_H2fb zenon_H2fa. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18. zenon_intro zenon_H18a. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H172. zenon_intro zenon_H18b. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H173. zenon_intro zenon_H174. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H323 ]. % 1.12/1.31 apply (zenon_L112_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2f9 | zenon_intro zenon_Hab ]. % 1.12/1.31 apply (zenon_L596_); trivial. % 1.12/1.31 apply (zenon_L130_); trivial. % 1.12/1.31 (* end of lemma zenon_L963_ *) % 1.12/1.31 assert (zenon_L964_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c2_1 (a1558))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H18d zenon_H18c zenon_H322 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H19b zenon_H19a zenon_H199 zenon_H1c5 zenon_Hd zenon_H73 zenon_H74 zenon_H72 zenon_H170. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.31 apply (zenon_L137_); trivial. % 1.12/1.31 apply (zenon_L963_); trivial. % 1.12/1.31 (* end of lemma zenon_L964_ *) % 1.12/1.31 assert (zenon_L965_ : ((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> (~(c2_1 (a1574))) -> (c1_1 (a1574)) -> (c3_1 (a1574)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H18d zenon_H18c zenon_H322 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H19b zenon_H19a zenon_H199 zenon_H49 zenon_H4a zenon_H4b zenon_H170. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H16e | zenon_intro zenon_H189 ]. % 1.12/1.31 apply (zenon_L128_); trivial. % 1.12/1.31 apply (zenon_L963_); trivial. % 1.12/1.31 (* end of lemma zenon_L965_ *) % 1.12/1.31 assert (zenon_L966_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H85 zenon_H191 zenon_H18c zenon_H322 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H170 zenon_H199 zenon_H19a zenon_H19b zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L157_); trivial. % 1.12/1.31 apply (zenon_L965_); trivial. % 1.12/1.31 (* end of lemma zenon_L966_ *) % 1.12/1.31 assert (zenon_L967_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1553))) -> (c0_1 (a1553)) -> (c2_1 (a1553)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H6c zenon_H81 zenon_H191 zenon_H18c zenon_H322 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H170 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6 zenon_H199 zenon_H19a zenon_H19b zenon_H12a. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.31 apply (zenon_L113_); trivial. % 1.12/1.31 apply (zenon_L966_); trivial. % 1.12/1.31 (* end of lemma zenon_L967_ *) % 1.12/1.31 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H7b zenon_H84 zenon_H81 zenon_H12a zenon_H1d6 zenon_H19b zenon_H19a zenon_H199 zenon_H170 zenon_H1c5 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H322 zenon_H18c zenon_H191. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L157_); trivial. % 1.12/1.31 apply (zenon_L964_); trivial. % 1.12/1.31 apply (zenon_L967_); trivial. % 1.12/1.31 (* end of lemma zenon_L968_ *) % 1.12/1.31 assert (zenon_L969_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1af zenon_H80 zenon_H1d6 zenon_H170 zenon_H1c5 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H322 zenon_H18c zenon_H191 zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H12a zenon_H84. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L115_); trivial. % 1.12/1.31 apply (zenon_L968_); trivial. % 1.12/1.31 (* end of lemma zenon_L969_ *) % 1.12/1.31 assert (zenon_L970_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1af zenon_H80 zenon_H194 zenon_H27c zenon_H25e zenon_H275 zenon_H274 zenon_H273 zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H12a zenon_H84. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L115_); trivial. % 1.12/1.31 apply (zenon_L274_); trivial. % 1.12/1.31 (* end of lemma zenon_L970_ *) % 1.12/1.31 assert (zenon_L971_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H280 zenon_H26b zenon_H26c zenon_H81 zenon_Hf zenon_H12a zenon_H84 zenon_H80 zenon_Hf9 zenon_Hea zenon_H151 zenon_H25 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_H194 zenon_H158 zenon_H170 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H21d zenon_H18c zenon_H191 zenon_H1b0 zenon_H260 zenon_H25e zenon_H203 zenon_H202 zenon_H201 zenon_H27c. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.31 apply (zenon_L719_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.31 apply (zenon_L275_); trivial. % 1.12/1.31 apply (zenon_L962_); trivial. % 1.12/1.31 apply (zenon_L970_); trivial. % 1.12/1.31 (* end of lemma zenon_L971_ *) % 1.12/1.31 assert (zenon_L972_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1539)) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H286 zenon_Hf9 zenon_H260 zenon_H25e zenon_H27c zenon_H1b8 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H13 zenon_H27 zenon_H25 zenon_H34 zenon_H38 zenon_H83 zenon_Hf zenon_H6d zenon_H84 zenon_H3 zenon_H5 zenon_H1b0 zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H264 zenon_H147 zenon_Hb5 zenon_Ha9 zenon_H151 zenon_Hea zenon_H1d6 zenon_H158 zenon_H170 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H203 zenon_H201 zenon_H202 zenon_H21d zenon_H18c zenon_H191 zenon_H12a zenon_H322 zenon_H1c5 zenon_H26c zenon_H26b. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.31 apply (zenon_L201_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L597_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L600_); trivial. % 1.12/1.31 apply (zenon_L961_); trivial. % 1.12/1.31 apply (zenon_L962_); trivial. % 1.12/1.31 apply (zenon_L969_); trivial. % 1.12/1.31 apply (zenon_L971_); trivial. % 1.12/1.31 (* end of lemma zenon_L972_ *) % 1.12/1.31 assert (zenon_L973_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H81 zenon_H38 zenon_H320 zenon_H201 zenon_H202 zenon_H203 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H2c3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H53 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133 zenon_H9 zenon_Hd zenon_Hf. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.31 apply (zenon_L7_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H317 | zenon_intro zenon_H321 ]. % 1.12/1.31 apply (zenon_L953_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hff ]. % 1.12/1.31 apply (zenon_L174_); trivial. % 1.12/1.31 apply (zenon_L724_); trivial. % 1.12/1.31 apply (zenon_L333_); trivial. % 1.12/1.31 apply (zenon_L16_); trivial. % 1.12/1.31 (* end of lemma zenon_L973_ *) % 1.12/1.31 assert (zenon_L974_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H84 zenon_H18c zenon_H6d zenon_H21d zenon_He0 zenon_H2ee zenon_H170 zenon_Hf zenon_H9 zenon_H133 zenon_Ha9 zenon_Ha1 zenon_H1 zenon_H34 zenon_H53 zenon_H2dc zenon_H2dd zenon_H2db zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H2c3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H203 zenon_H202 zenon_H201 zenon_H320 zenon_H38 zenon_H81. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_L973_); trivial. % 1.12/1.31 apply (zenon_L589_); trivial. % 1.12/1.31 (* end of lemma zenon_L974_ *) % 1.12/1.31 assert (zenon_L975_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H80 zenon_H7c zenon_H81 zenon_H38 zenon_H320 zenon_H201 zenon_H202 zenon_H203 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H2c3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H53 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133 zenon_Hf zenon_H170 zenon_H2ee zenon_He0 zenon_H21d zenon_H6d zenon_H18c zenon_H84. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L974_); trivial. % 1.12/1.31 apply (zenon_L590_); trivial. % 1.12/1.31 (* end of lemma zenon_L975_ *) % 1.12/1.31 assert (zenon_L976_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (~(c0_1 (a1539))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H195 zenon_H1e8 zenon_H320 zenon_H1da zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H303 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H158 zenon_H18c zenon_H125 zenon_H203 zenon_H202 zenon_H170 zenon_H2ee zenon_H201 zenon_H24f zenon_H82 zenon_H191. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L947_); trivial. % 1.12/1.31 apply (zenon_L537_); trivial. % 1.12/1.31 apply (zenon_L643_); trivial. % 1.12/1.31 (* end of lemma zenon_L976_ *) % 1.12/1.31 assert (zenon_L977_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1b0 zenon_H1e8 zenon_H1da zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H303 zenon_H158 zenon_H125 zenon_H24f zenon_H82 zenon_H191 zenon_H84 zenon_H18c zenon_H6d zenon_H21d zenon_He0 zenon_H2ee zenon_H170 zenon_Hf zenon_H133 zenon_Ha9 zenon_H1 zenon_H34 zenon_H53 zenon_H2dc zenon_H2dd zenon_H2db zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H2c3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H203 zenon_H202 zenon_H201 zenon_H320 zenon_H38 zenon_H81 zenon_H7c zenon_H80. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.31 apply (zenon_L975_); trivial. % 1.12/1.31 apply (zenon_L976_); trivial. % 1.12/1.31 (* end of lemma zenon_L977_ *) % 1.12/1.31 assert (zenon_L978_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(c0_1 (a1554))) -> (c1_1 (a1554)) -> (c2_1 (a1554)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H80 zenon_H7c zenon_H81 zenon_H38 zenon_H320 zenon_H201 zenon_H202 zenon_H203 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H2c3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H53 zenon_H34 zenon_H1 zenon_Ha1 zenon_Ha9 zenon_H133 zenon_Hf zenon_H59 zenon_H5a zenon_H5b zenon_H6d zenon_H84. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_L973_); trivial. % 1.12/1.31 apply (zenon_L23_); trivial. % 1.12/1.31 apply (zenon_L25_); trivial. % 1.12/1.31 (* end of lemma zenon_L978_ *) % 1.12/1.31 assert (zenon_L979_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp21)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H320 zenon_H156 zenon_H112 zenon_H100 zenon_H101 zenon_H2db zenon_H2dd zenon_H2dc zenon_H158 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2c3 zenon_H203 zenon_H202 zenon_H201 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H18 zenon_H10b. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H317 | zenon_intro zenon_H321 ]. % 1.12/1.31 apply (zenon_L944_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hff ]. % 1.12/1.31 apply (zenon_L174_); trivial. % 1.12/1.31 apply (zenon_L724_); trivial. % 1.12/1.31 (* end of lemma zenon_L979_ *) % 1.12/1.31 assert (zenon_L980_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (ndr1_0) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H133 zenon_H2e4 zenon_H28e zenon_H158 zenon_H156 zenon_H101 zenon_H100 zenon_H112 zenon_H2dc zenon_H2dd zenon_H2db zenon_H18 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H2c3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H203 zenon_H202 zenon_H201 zenon_H320. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H10b | zenon_intro zenon_H12e ]. % 1.12/1.31 apply (zenon_L979_); trivial. % 1.12/1.31 apply (zenon_L508_); trivial. % 1.12/1.31 (* end of lemma zenon_L980_ *) % 1.12/1.31 assert (zenon_L981_ : ((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(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)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H85 zenon_H191 zenon_H18c zenon_H322 zenon_H19b zenon_H19a zenon_H199 zenon_H170 zenon_H320 zenon_H201 zenon_H202 zenon_H203 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H2c3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_H28e zenon_H2e4 zenon_H133. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L980_); trivial. % 1.12/1.31 apply (zenon_L965_); trivial. % 1.12/1.31 (* end of lemma zenon_L981_ *) % 1.12/1.31 assert (zenon_L982_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(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)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(hskp14)) -> (~(hskp15)) -> ((hskp14)\/((hskp20)\/(hskp15))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H81 zenon_H191 zenon_H18c zenon_H322 zenon_H19b zenon_H19a zenon_H199 zenon_H170 zenon_H320 zenon_H201 zenon_H202 zenon_H203 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H2c3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H112 zenon_H100 zenon_H101 zenon_H158 zenon_H28e zenon_H2e4 zenon_H133 zenon_H9 zenon_Hd zenon_Hf. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.31 apply (zenon_L7_); trivial. % 1.12/1.31 apply (zenon_L981_); trivial. % 1.12/1.31 (* end of lemma zenon_L982_ *) % 1.12/1.31 assert (zenon_L983_ : ((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (c2_1 (a1553)) -> (c0_1 (a1553)) -> (~(c1_1 (a1553))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1b5 zenon_H1b0 zenon_H191 zenon_H18c zenon_H322 zenon_H19b zenon_H19a zenon_H199 zenon_H170 zenon_H158 zenon_H28e zenon_H2e4 zenon_H84 zenon_H6d zenon_Hf zenon_H133 zenon_Ha9 zenon_H1 zenon_H34 zenon_H53 zenon_H2dc zenon_H2dd zenon_H2db zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H2c3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H203 zenon_H202 zenon_H201 zenon_H320 zenon_H38 zenon_H81 zenon_H7c zenon_H80. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.31 apply (zenon_L978_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_L982_); trivial. % 1.12/1.31 apply (zenon_L23_); trivial. % 1.12/1.31 apply (zenon_L25_); trivial. % 1.12/1.31 (* end of lemma zenon_L983_ *) % 1.12/1.31 assert (zenon_L984_ : ((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (~(hskp10)) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1af zenon_H1b8 zenon_H1b0 zenon_H191 zenon_H18c zenon_H322 zenon_H170 zenon_H158 zenon_H28e zenon_H2e4 zenon_H84 zenon_H6d zenon_Hf zenon_H133 zenon_Ha9 zenon_H34 zenon_H53 zenon_H2dc zenon_H2dd zenon_H2db zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H2c3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H203 zenon_H202 zenon_H201 zenon_H320 zenon_H38 zenon_H81 zenon_H7c zenon_H80 zenon_H1 zenon_H3 zenon_H5. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 1.12/1.31 apply (zenon_L3_); trivial. % 1.12/1.31 apply (zenon_L983_); trivial. % 1.12/1.31 (* end of lemma zenon_L984_ *) % 1.12/1.31 assert (zenon_L985_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp10)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H26c zenon_H1b8 zenon_H322 zenon_H28e zenon_H2e4 zenon_H3 zenon_H5 zenon_H80 zenon_H7c zenon_H81 zenon_H38 zenon_H320 zenon_H201 zenon_H202 zenon_H203 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H2c3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2db zenon_H2dd zenon_H2dc zenon_H53 zenon_H34 zenon_H1 zenon_Ha9 zenon_H133 zenon_Hf zenon_H170 zenon_H2ee zenon_H21d zenon_H6d zenon_H18c zenon_H84 zenon_H191 zenon_H82 zenon_H24f zenon_H125 zenon_H158 zenon_H303 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1da zenon_H1e8 zenon_H1b0. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.31 apply (zenon_L977_); trivial. % 1.12/1.31 apply (zenon_L984_); trivial. % 1.12/1.31 (* end of lemma zenon_L985_ *) % 1.12/1.31 assert (zenon_L986_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(c0_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H285 zenon_H26b zenon_H1b0 zenon_H196 zenon_He9 zenon_H158 zenon_Ha9 zenon_H38 zenon_H1da zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H303 zenon_H1e8 zenon_H230 zenon_H1ca zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H34 zenon_H170 zenon_H1e9 zenon_H1eb zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H293 zenon_H292 zenon_H294 zenon_H1c5 zenon_H147 zenon_H125 zenon_H18c zenon_Hf zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H21d zenon_H6d zenon_H84 zenon_H12a zenon_H1d6 zenon_H24f zenon_H191 zenon_H26c. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.31 apply (zenon_L593_); trivial. % 1.12/1.31 apply (zenon_L716_); trivial. % 1.12/1.31 (* end of lemma zenon_L986_ *) % 1.12/1.31 assert (zenon_L987_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H191 zenon_H18c zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H1c5 zenon_Hd zenon_H170 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H72 zenon_H73 zenon_H74 zenon_H1d6. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L600_); trivial. % 1.12/1.31 apply (zenon_L557_); trivial. % 1.12/1.31 (* end of lemma zenon_L987_ *) % 1.12/1.31 assert (zenon_L988_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H7b zenon_H84 zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_Hf9 zenon_Hfd zenon_H30c zenon_Ha9 zenon_Ha1 zenon_H147 zenon_Hd1 zenon_H2bb zenon_H38 zenon_He9 zenon_H194 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H170 zenon_H1c5 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H18c zenon_H191. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_L987_); trivial. % 1.12/1.31 apply (zenon_L774_); trivial. % 1.12/1.31 (* end of lemma zenon_L988_ *) % 1.12/1.31 assert (zenon_L989_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp14)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Heb zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_Hdc zenon_H9 zenon_H112 zenon_H100 zenon_H101 zenon_H1b3 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.12/1.31 apply (zenon_L924_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.12/1.31 apply (zenon_L307_); trivial. % 1.12/1.31 apply (zenon_L954_); trivial. % 1.12/1.31 (* end of lemma zenon_L989_ *) % 1.12/1.31 assert (zenon_L990_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H84 zenon_H196 zenon_H6d zenon_He9 zenon_H2bb zenon_H1b3 zenon_Hdc zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H1e8 zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_L29_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.31 apply (zenon_L625_); trivial. % 1.12/1.31 apply (zenon_L989_); trivial. % 1.12/1.31 apply (zenon_L677_); trivial. % 1.12/1.31 apply (zenon_L926_); trivial. % 1.12/1.31 (* end of lemma zenon_L990_ *) % 1.12/1.31 assert (zenon_L991_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H195 zenon_H80 zenon_H194 zenon_H147 zenon_H2ee zenon_Hf9 zenon_H25 zenon_H151 zenon_Hea zenon_H81 zenon_H53 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H1e8 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H303 zenon_Hdc zenon_H1b3 zenon_H2bb zenon_He9 zenon_H6d zenon_H196 zenon_H84. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L990_); trivial. % 1.12/1.31 apply (zenon_L941_); trivial. % 1.12/1.31 (* end of lemma zenon_L991_ *) % 1.12/1.31 assert (zenon_L992_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((hskp10)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H26b zenon_H1b0 zenon_H1e8 zenon_H1da zenon_Hdc zenon_H1b3 zenon_H194 zenon_H303 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H262 zenon_H264 zenon_H147 zenon_Hb5 zenon_Ha9 zenon_H151 zenon_Hea zenon_H191 zenon_H18c zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H1c5 zenon_H170 zenon_H158 zenon_H1d6 zenon_He9 zenon_H2bb zenon_Hd1 zenon_H30c zenon_Hfd zenon_Hf9 zenon_H196 zenon_H5 zenon_H3 zenon_H84 zenon_H6d zenon_Hf zenon_H83 zenon_H38 zenon_H34 zenon_H25 zenon_H27 zenon_H13 zenon_H53 zenon_H82 zenon_H81 zenon_H7c zenon_H80 zenon_H1b8. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.31 apply (zenon_L201_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L597_); trivial. % 1.12/1.31 apply (zenon_L988_); trivial. % 1.12/1.31 apply (zenon_L991_); trivial. % 1.12/1.31 (* end of lemma zenon_L992_ *) % 1.12/1.31 assert (zenon_L993_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1572))) -> (c3_1 (a1572)) -> (c2_1 (a1572)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c3_1 (a1548))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1565))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Heb zenon_H38 zenon_H2bb zenon_H2fb zenon_H2fc zenon_Hd1 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H180 zenon_H182 zenon_H181 zenon_H88 zenon_H89 zenon_H8a zenon_H147 zenon_H273 zenon_H274 zenon_H275 zenon_H27 zenon_H25 zenon_H63 zenon_H65 zenon_H64 zenon_Hdc zenon_H27e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 1.12/1.31 apply (zenon_L345_); trivial. % 1.12/1.31 apply (zenon_L767_); trivial. % 1.12/1.31 (* end of lemma zenon_L993_ *) % 1.12/1.31 assert (zenon_L994_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp14)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H84 zenon_H196 zenon_Hea zenon_H151 zenon_H25 zenon_Ha9 zenon_Ha1 zenon_H8a zenon_H89 zenon_H88 zenon_Hb5 zenon_H9 zenon_H53 zenon_H38 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H27e zenon_Hdc zenon_H27 zenon_H275 zenon_H274 zenon_H273 zenon_H147 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.31 apply (zenon_L310_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.31 apply (zenon_L214_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.31 apply (zenon_L625_); trivial. % 1.12/1.31 apply (zenon_L993_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.31 apply (zenon_L214_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.31 apply (zenon_L619_); trivial. % 1.12/1.31 apply (zenon_L993_); trivial. % 1.12/1.31 (* end of lemma zenon_L994_ *) % 1.12/1.31 assert (zenon_L995_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_H81 zenon_Hf zenon_H1e8 zenon_H1da zenon_H6d zenon_H303 zenon_H196 zenon_Hea zenon_H151 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_Hfd zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H147 zenon_Hd1 zenon_H2bb zenon_He9 zenon_H194 zenon_H191 zenon_H18c zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H1c5 zenon_H170 zenon_H158 zenon_H1d6 zenon_Hf9 zenon_H80 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_H27e zenon_Hdc zenon_H25 zenon_H27 zenon_H34 zenon_H38 zenon_H84. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.31 apply (zenon_L347_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.31 apply (zenon_L994_); trivial. % 1.12/1.31 apply (zenon_L988_); trivial. % 1.12/1.31 apply (zenon_L942_); trivial. % 1.12/1.31 (* end of lemma zenon_L995_ *) % 1.12/1.31 assert (zenon_L996_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1554))/\((c2_1 (a1554))/\(~(c0_1 (a1554))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp23)\/((hskp3)\/(hskp26))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a1624)))/\((~(c2_1 (a1624)))/\(~(c3_1 (a1624))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (~(hskp3)) -> ((hskp10)\/((hskp12)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H286 zenon_H133 zenon_H10d zenon_H2a3 zenon_H27e zenon_H1b8 zenon_H80 zenon_H7c zenon_H81 zenon_H82 zenon_H53 zenon_H13 zenon_H27 zenon_H25 zenon_H34 zenon_H38 zenon_H83 zenon_Hf zenon_H6d zenon_H84 zenon_H3 zenon_H5 zenon_H196 zenon_Hf9 zenon_Hfd zenon_H30c zenon_Hd1 zenon_H2bb zenon_He9 zenon_H1d6 zenon_H158 zenon_H170 zenon_H1c5 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H18c zenon_H191 zenon_Hea zenon_H151 zenon_Ha9 zenon_Hb5 zenon_H147 zenon_H264 zenon_H2fa zenon_H2fb zenon_H2fc zenon_H303 zenon_H194 zenon_H1b3 zenon_Hdc zenon_H1da zenon_H1e8 zenon_H1b0 zenon_H26b. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.32 apply (zenon_L992_); trivial. % 1.12/1.32 apply (zenon_L995_); trivial. % 1.12/1.32 (* end of lemma zenon_L996_ *) % 1.12/1.32 assert (zenon_L997_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.32 do 0 intro. intros zenon_Heb zenon_H2bb zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.12/1.32 apply (zenon_L924_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.12/1.32 apply (zenon_L307_); trivial. % 1.12/1.32 apply (zenon_L946_); trivial. % 1.12/1.32 (* end of lemma zenon_L997_ *) % 1.12/1.32 assert (zenon_L998_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H303 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2bb zenon_He9. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L619_); trivial. % 1.12/1.32 apply (zenon_L997_); trivial. % 1.12/1.32 apply (zenon_L643_); trivial. % 1.12/1.32 (* end of lemma zenon_L998_ *) % 1.12/1.32 assert (zenon_L999_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H6c zenon_H196 zenon_He9 zenon_H2bb zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H303 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_Hfd zenon_H1e8. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L625_); trivial. % 1.12/1.32 apply (zenon_L997_); trivial. % 1.12/1.32 apply (zenon_L643_); trivial. % 1.12/1.32 apply (zenon_L998_); trivial. % 1.12/1.32 (* end of lemma zenon_L999_ *) % 1.12/1.32 assert (zenon_L1000_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1547))) -> (c0_1 (a1547)) -> (c1_1 (a1547)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H26e zenon_H84 zenon_H196 zenon_He9 zenon_H2bb zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H303 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_Hfd zenon_H1e8 zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L310_); trivial. % 1.12/1.32 apply (zenon_L999_); trivial. % 1.12/1.32 (* end of lemma zenon_L1000_ *) % 1.12/1.32 assert (zenon_L1001_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a1548))) -> (~(c1_1 (a1548))) -> (~(c0_1 (a1548))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> (~(hskp13)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> (~(hskp14)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H84 zenon_H194 zenon_H27e zenon_Hdc zenon_H147 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_Hd3 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H2bb zenon_H275 zenon_H274 zenon_H273 zenon_H38 zenon_Hb5 zenon_Ha1 zenon_Ha9 zenon_H25 zenon_H151 zenon_Hea zenon_Hf zenon_H9 zenon_H88 zenon_H89 zenon_H8a zenon_H53 zenon_H81. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.32 apply (zenon_L214_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 1.12/1.32 apply (zenon_L272_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H111 | zenon_intro zenon_Hdd ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2bc ]. % 1.12/1.32 apply (zenon_L405_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H2a5 | zenon_intro zenon_Hff ]. % 1.12/1.32 apply (zenon_L307_); trivial. % 1.12/1.32 apply (zenon_L780_); trivial. % 1.12/1.32 exact (zenon_Hdc zenon_Hdd). % 1.12/1.32 (* end of lemma zenon_L1001_ *) % 1.12/1.32 assert (zenon_L1002_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H7b zenon_H84 zenon_H196 zenon_He9 zenon_H82 zenon_H1da zenon_H25 zenon_H2ce zenon_H125 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H30c zenon_Hfd zenon_H2bb zenon_H303 zenon_H1e8 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H170 zenon_H1c5 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H18c zenon_H191. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L987_); trivial. % 1.12/1.32 apply (zenon_L784_); trivial. % 1.12/1.32 (* end of lemma zenon_L1002_ *) % 1.12/1.32 assert (zenon_L1003_ : ((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a1534)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H280 zenon_H26b zenon_H1b0 zenon_Hf9 zenon_H1b3 zenon_H6d zenon_H194 zenon_H147 zenon_H2fc zenon_H2fa zenon_H2fb zenon_H2bb zenon_Hb5 zenon_Ha9 zenon_H151 zenon_Hea zenon_H53 zenon_H191 zenon_H2ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H158 zenon_H1d6 zenon_H1e8 zenon_H303 zenon_Hfd zenon_H30c zenon_H125 zenon_H2ce zenon_H1da zenon_H82 zenon_He9 zenon_H196 zenon_H84 zenon_H27e zenon_Hf zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H1e9 zenon_H1ea zenon_H1eb zenon_H27 zenon_H25 zenon_Hd3 zenon_H34 zenon_H38 zenon_H81 zenon_H18c zenon_H2c8 zenon_H7c zenon_H1c5 zenon_H170 zenon_H80. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L363_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L1001_); trivial. % 1.12/1.32 apply (zenon_L1002_); trivial. % 1.12/1.32 apply (zenon_L991_); trivial. % 1.12/1.32 (* end of lemma zenon_L1003_ *) % 1.12/1.32 assert (zenon_L1004_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1539)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(hskp20)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H191 zenon_H18c zenon_H21d zenon_He0 zenon_H202 zenon_H201 zenon_H203 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H170 zenon_H158 zenon_H2fc zenon_H2fb zenon_H2fa zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H63 zenon_H64 zenon_H65 zenon_Hb zenon_H12a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.32 apply (zenon_L637_); trivial. % 1.12/1.32 apply (zenon_L961_); trivial. % 1.12/1.32 (* end of lemma zenon_L1004_ *) % 1.12/1.32 assert (zenon_L1005_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> (ndr1_0) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H84 zenon_H81 zenon_H12a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H170 zenon_He0 zenon_H21d zenon_H18c zenon_H191 zenon_H53 zenon_H9 zenon_H203 zenon_H202 zenon_H201 zenon_H8a zenon_H89 zenon_H88 zenon_H18 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2ee. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L569_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.32 apply (zenon_L1004_); trivial. % 1.12/1.32 apply (zenon_L28_); trivial. % 1.12/1.32 (* end of lemma zenon_L1005_ *) % 1.12/1.32 assert (zenon_L1006_ : ((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> (~(c0_1 (a1545))) -> (~(c3_1 (a1545))) -> (c2_1 (a1545)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(c0_1 (a1539))) -> (c1_1 (a1539)) -> (c3_1 (a1539)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H7b zenon_H84 zenon_H1da zenon_H125 zenon_H1e9 zenon_H1ea zenon_H1eb zenon_Hd3 zenon_H303 zenon_H251 zenon_H2bb zenon_H241 zenon_H1e8 zenon_He9 zenon_H1d6 zenon_H88 zenon_H89 zenon_H8a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H18c zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H201 zenon_H202 zenon_H203 zenon_Hfd zenon_H230 zenon_H30c zenon_H2c3 zenon_H2ce zenon_H25 zenon_H170 zenon_H1c5 zenon_H1ca zenon_H82 zenon_H191 zenon_H196. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L795_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_L673_); trivial. % 1.12/1.32 apply (zenon_L798_); trivial. % 1.12/1.32 apply (zenon_L783_); trivial. % 1.12/1.32 (* end of lemma zenon_L1006_ *) % 1.12/1.32 assert (zenon_L1007_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a1545)) -> (~(c3_1 (a1545))) -> (~(c0_1 (a1545))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H26e zenon_H26c zenon_H322 zenon_Hf zenon_H84 zenon_H81 zenon_H12a zenon_H2fa zenon_H2fb zenon_H2fc zenon_H158 zenon_H170 zenon_H21d zenon_H18c zenon_H191 zenon_H53 zenon_H203 zenon_H202 zenon_H201 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2ee zenon_H196 zenon_H82 zenon_H1ca zenon_H1c5 zenon_H25 zenon_H2ce zenon_H2c3 zenon_H30c zenon_H230 zenon_Hfd zenon_H133 zenon_H1d6 zenon_He9 zenon_H1e8 zenon_H241 zenon_H2bb zenon_H251 zenon_H303 zenon_Hd3 zenon_H1eb zenon_H1ea zenon_H1e9 zenon_H125 zenon_H1da zenon_H80. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L1005_); trivial. % 1.12/1.32 apply (zenon_L1006_); trivial. % 1.12/1.32 apply (zenon_L969_); trivial. % 1.12/1.32 (* end of lemma zenon_L1007_ *) % 1.12/1.32 assert (zenon_L1008_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (c1_1 (a1547)) -> (c0_1 (a1547)) -> (~(c3_1 (a1547))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H303 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2bb zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.32 apply (zenon_L744_); trivial. % 1.12/1.32 apply (zenon_L998_); trivial. % 1.12/1.32 (* end of lemma zenon_L1008_ *) % 1.12/1.32 assert (zenon_L1009_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H285 zenon_H84 zenon_H196 zenon_H1e8 zenon_H30c zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H303 zenon_H2bb zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_H2c3 zenon_H2fb zenon_H2fa zenon_H2fc zenon_H10d zenon_H10f zenon_H203 zenon_H202 zenon_H201 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L823_); trivial. % 1.12/1.32 apply (zenon_L1008_); trivial. % 1.12/1.32 (* end of lemma zenon_L1009_ *) % 1.12/1.32 assert (zenon_L1010_ : ((ndr1_0)/\((c0_1 (a1543))/\((~(c1_1 (a1543)))/\(~(c2_1 (a1543)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a1553))/\((c2_1 (a1553))/\(~(c1_1 (a1553))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1544))/\((c1_1 (a1544))/\(c2_1 (a1544)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp29))) -> (c3_1 (a1539)) -> (c1_1 (a1539)) -> (~(c0_1 (a1539))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H2a0 zenon_H28d zenon_H1b0 zenon_Ha9 zenon_H38 zenon_H125 zenon_H2ee zenon_H21d zenon_H6d zenon_H12a zenon_H24f zenon_H26c zenon_H80 zenon_H7c zenon_Hf zenon_H18c zenon_H230 zenon_H147 zenon_H1c5 zenon_H53 zenon_H170 zenon_H34 zenon_H81 zenon_Hd3 zenon_H1d6 zenon_H158 zenon_H1ca zenon_H191 zenon_H26b zenon_H84 zenon_H196 zenon_H1e8 zenon_H241 zenon_H2bb zenon_H251 zenon_H203 zenon_H202 zenon_H201 zenon_H303 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2ce zenon_H82 zenon_He9 zenon_Hfd zenon_H2a3 zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133 zenon_H10f zenon_H2c3 zenon_H2dc zenon_H2db zenon_H2dd zenon_H28a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_L822_); trivial. % 1.12/1.32 apply (zenon_L1009_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_L833_); trivial. % 1.12/1.32 apply (zenon_L986_); trivial. % 1.12/1.32 (* end of lemma zenon_L1010_ *) % 1.12/1.32 assert (zenon_L1011_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H26b zenon_H1b0 zenon_H81 zenon_Hf zenon_H6d zenon_H10d zenon_H10f zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H133 zenon_H84 zenon_Hea zenon_H264 zenon_H262 zenon_Ha9 zenon_Hb5 zenon_H53 zenon_H38 zenon_Hf9 zenon_H80 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L256_); trivial. % 1.12/1.32 apply (zenon_L549_); trivial. % 1.12/1.32 (* end of lemma zenon_L1011_ *) % 1.12/1.32 assert (zenon_L1012_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1535)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_Hdc zenon_H260 zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H80 zenon_Hf9 zenon_H38 zenon_H53 zenon_Hb5 zenon_Ha9 zenon_H264 zenon_Hea zenon_H84 zenon_H133 zenon_H2e4 zenon_H28e zenon_H2dd zenon_H2dc zenon_H2db zenon_H10f zenon_H10d zenon_H6d zenon_Hf zenon_H81 zenon_H1b0 zenon_H26b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.32 apply (zenon_L1011_); trivial. % 1.12/1.32 apply (zenon_L283_); trivial. % 1.12/1.32 (* end of lemma zenon_L1012_ *) % 1.12/1.32 assert (zenon_L1013_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a1573)) -> (~(c3_1 (a1573))) -> (~(c1_1 (a1573))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> (~(hskp22)) -> (~(c2_1 (a1565))) -> (~(c3_1 (a1565))) -> (c1_1 (a1565)) -> (~(c1_1 (a1549))) -> (c0_1 (a1549)) -> (c3_1 (a1549)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H16c zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H26d zenon_Hb3 zenon_H63 zenon_H64 zenon_H65 zenon_H88 zenon_H89 zenon_H8a zenon_Hf9 zenon_H294 zenon_H293 zenon_H18 zenon_H10d. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H19 | zenon_intro zenon_H16d ]. % 1.12/1.32 apply (zenon_L266_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H97 ]. % 1.12/1.32 apply (zenon_L41_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.12/1.32 apply (zenon_L266_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H10e ]. % 1.12/1.32 apply (zenon_L746_); trivial. % 1.12/1.32 exact (zenon_H10d zenon_H10e). % 1.12/1.32 (* end of lemma zenon_L1013_ *) % 1.12/1.32 assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (c1_1 (a1565)) -> (~(c3_1 (a1565))) -> (~(c2_1 (a1565))) -> (c3_1 (a1549)) -> (c0_1 (a1549)) -> (~(c1_1 (a1549))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Heb zenon_Hea zenon_H264 zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_Hf9 zenon_H65 zenon_H64 zenon_H63 zenon_H8a zenon_H89 zenon_H88 zenon_H26d zenon_H10d zenon_H294 zenon_H293 zenon_H16c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.12/1.32 apply (zenon_L1013_); trivial. % 1.12/1.32 apply (zenon_L258_); trivial. % 1.12/1.32 (* end of lemma zenon_L1014_ *) % 1.12/1.32 assert (zenon_L1015_ : ((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H26e zenon_H80 zenon_H81 zenon_H53 zenon_Hf zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H16c zenon_H10d zenon_H26d zenon_Hf9 zenon_H255 zenon_H256 zenon_H257 zenon_H262 zenon_H264 zenon_Hea zenon_He9 zenon_H196 zenon_H84. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.32 apply (zenon_L744_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L619_); trivial. % 1.12/1.32 apply (zenon_L1014_); trivial. % 1.12/1.32 apply (zenon_L259_); trivial. % 1.12/1.32 (* end of lemma zenon_L1015_ *) % 1.12/1.32 assert (zenon_L1016_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H26b zenon_H80 zenon_H81 zenon_H53 zenon_Hf zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H16c zenon_H10d zenon_H26d zenon_Hf9 zenon_H262 zenon_H264 zenon_Hea zenon_He9 zenon_H196 zenon_H84 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H260. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L256_); trivial. % 1.12/1.32 apply (zenon_L1015_); trivial. % 1.12/1.32 (* end of lemma zenon_L1016_ *) % 1.12/1.32 assert (zenon_L1017_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H285 zenon_H286 zenon_H27e zenon_Hdc zenon_H260 zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H84 zenon_H196 zenon_He9 zenon_Hea zenon_H264 zenon_Hf9 zenon_H26d zenon_H10d zenon_H16c zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_Hf zenon_H53 zenon_H81 zenon_H80 zenon_H26b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.32 apply (zenon_L1016_); trivial. % 1.12/1.32 apply (zenon_L283_); trivial. % 1.12/1.32 (* end of lemma zenon_L1017_ *) % 1.12/1.32 assert (zenon_L1018_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> (ndr1_0) -> (~(c0_1 (a1536))) -> (~(c2_1 (a1536))) -> (c1_1 (a1536)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((hskp31)\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H1b0 zenon_H80 zenon_H7c zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H2a3 zenon_H6d zenon_H2db zenon_H2dc zenon_H2dd zenon_H28e zenon_H2e4 zenon_H84 zenon_H133 zenon_Ha9 zenon_H1 zenon_H34 zenon_H18 zenon_H255 zenon_H256 zenon_H257 zenon_H10f zenon_H10d zenon_H2fa zenon_H2fc zenon_H2fb zenon_H262 zenon_H264 zenon_H38. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_L851_); trivial. % 1.12/1.32 apply (zenon_L547_); trivial. % 1.12/1.32 (* end of lemma zenon_L1018_ *) % 1.12/1.32 assert (zenon_L1019_ : ((ndr1_0)/\((c2_1 (a1545))/\((~(c0_1 (a1545)))/\(~(c3_1 (a1545)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1549))/\((c3_1 (a1549))/\(~(c1_1 (a1549))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a1581))/\((~(c1_1 (a1581)))/\(~(c3_1 (a1581))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp22))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (c1_1 (a1536)) -> (~(c2_1 (a1536))) -> (~(c0_1 (a1536))) -> ((hskp14)\/((hskp20)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp31))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp5))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp30)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1546))/\((c1_1 (a1546))/\(c3_1 (a1546)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a1574))/\((c3_1 (a1574))/\(~(c2_1 (a1574))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c2_1 X8))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp28)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1542))/\((c2_1 (a1542))/\(c3_1 (a1542)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1593))/\((c3_1 (a1593))/\(~(c2_1 (a1593))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp8)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c2_1 X17))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c1_1 X88))\/(~(c2_1 X88))))))\/(hskp21))) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1575))/\((~(c0_1 (a1575)))/\(~(c1_1 (a1575))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c3_1 X38)\/(~(c2_1 X38))))))\/((hskp8)\/(hskp18))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51))))))\/((hskp30)\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((~(c1_1 X36))\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp14)\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> (c2_1 (a1534)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((~(c0_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a1572))/\((c3_1 (a1572))/\(~(c0_1 (a1572))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((hskp14)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1548)))/\((~(c1_1 (a1548)))/\(~(c3_1 (a1548))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H289 zenon_H28a zenon_H26b zenon_Hea zenon_Hf9 zenon_H53 zenon_H84 zenon_H264 zenon_H6d zenon_H257 zenon_H256 zenon_H255 zenon_Hf zenon_H133 zenon_H2b2 zenon_H2c3 zenon_H2a7 zenon_H2a8 zenon_H2a6 zenon_Hdc zenon_Hde zenon_H27 zenon_Hd3 zenon_H34 zenon_H38 zenon_H81 zenon_H7c zenon_H80 zenon_H170 zenon_H1c5 zenon_H2c8 zenon_H18c zenon_H27e zenon_H196 zenon_He9 zenon_H82 zenon_H1da zenon_H2ce zenon_H125 zenon_H30c zenon_Hfd zenon_H303 zenon_H1e8 zenon_H1d6 zenon_H158 zenon_H2db zenon_H2dc zenon_H2dd zenon_H2ee zenon_H191 zenon_H151 zenon_Ha9 zenon_Hb5 zenon_H2bb zenon_H2fb zenon_H2fa zenon_H2fc zenon_H147 zenon_H194 zenon_H1b3 zenon_H1b0 zenon_H286. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.32 apply (zenon_L357_); trivial. % 1.12/1.32 apply (zenon_L1003_); trivial. % 1.12/1.32 apply (zenon_L292_); trivial. % 1.12/1.32 (* end of lemma zenon_L1019_ *) % 1.12/1.32 assert (zenon_L1020_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H84 zenon_H196 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H6d zenon_H9 zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L310_); trivial. % 1.12/1.32 apply (zenon_L957_); trivial. % 1.12/1.32 (* end of lemma zenon_L1020_ *) % 1.12/1.32 assert (zenon_L1021_ : ((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> (~(hskp17)) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(hskp10)) -> (~(c2_1 (a1558))) -> (c0_1 (a1558)) -> (c1_1 (a1558)) -> (~(c3_1 (a1556))) -> (c1_1 (a1556)) -> (c2_1 (a1556)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> False). % 1.12/1.32 do 0 intro. intros zenon_Heb zenon_H303 zenon_H1d8 zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H1 zenon_H72 zenon_H73 zenon_H74 zenon_H112 zenon_H100 zenon_H101 zenon_H7c zenon_H2fa zenon_H2fb zenon_H2fc. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H304 ]. % 1.12/1.32 apply (zenon_L924_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H111 | zenon_intro zenon_H2f9 ]. % 1.12/1.32 apply (zenon_L870_); trivial. % 1.12/1.32 apply (zenon_L596_); trivial. % 1.12/1.32 (* end of lemma zenon_L1021_ *) % 1.12/1.32 assert (zenon_L1022_ : ((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H149 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_He9. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H18. zenon_intro zenon_H14a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H135. zenon_intro zenon_H14b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H134. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L619_); trivial. % 1.12/1.32 apply (zenon_L1021_); trivial. % 1.12/1.32 apply (zenon_L871_); trivial. % 1.12/1.32 (* end of lemma zenon_L1022_ *) % 1.12/1.32 assert (zenon_L1023_ : ((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1558)) -> (c0_1 (a1558)) -> (~(c2_1 (a1558))) -> (c2_1 (a1556)) -> (c1_1 (a1556)) -> (~(c3_1 (a1556))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H6c zenon_H196 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H7c zenon_H1 zenon_H74 zenon_H73 zenon_H72 zenon_H101 zenon_H100 zenon_H112 zenon_H303 zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.32 apply (zenon_L744_); trivial. % 1.12/1.32 apply (zenon_L1022_); trivial. % 1.12/1.32 (* end of lemma zenon_L1023_ *) % 1.12/1.32 assert (zenon_L1024_ : ((ndr1_0)/\((c1_1 (a1556))/\((c2_1 (a1556))/\(~(c3_1 (a1556)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1558))/\((c1_1 (a1558))/\(~(c2_1 (a1558))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c2_1 X57)\/((~(c0_1 X57))\/(~(c1_1 X57))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c3_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c1_1 (a1538))) -> (~(hskp7)) -> ((hskp31)\/((hskp15)\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a1543)) -> (~(c2_1 (a1543))) -> (~(c1_1 (a1543))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp14))) -> (~(c2_1 (a1535))) -> (~(c1_1 (a1535))) -> (c3_1 (a1535)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (~(c3_1 (a1534))) -> (c0_1 (a1534)) -> (c2_1 (a1534)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H195 zenon_H80 zenon_H7c zenon_H1 zenon_H133 zenon_H2b2 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H10d zenon_H2a3 zenon_Hfd zenon_H294 zenon_H293 zenon_H292 zenon_He9 zenon_H303 zenon_H6d zenon_H2dc zenon_H2db zenon_H2dd zenon_H1da zenon_H2fa zenon_H2fb zenon_H2fc zenon_H30c zenon_H1e8 zenon_H196 zenon_H84. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H18. zenon_intro zenon_H197. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H100. zenon_intro zenon_H198. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H101. zenon_intro zenon_H112. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L1020_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L310_); trivial. % 1.12/1.32 apply (zenon_L1023_); trivial. % 1.12/1.32 (* end of lemma zenon_L1024_ *) % 1.12/1.32 assert (zenon_L1025_ : ((ndr1_0)/\((c0_1 (a1547))/\((c1_1 (a1547))/\(~(c3_1 (a1547)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1565))/\((~(c2_1 (a1565)))/\(~(c3_1 (a1565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1566))/\((c3_1 (a1566))/\(~(c1_1 (a1566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1570))/\((~(c0_1 (a1570)))/\(~(c1_1 (a1570))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20))))))\/(hskp19))) -> (c2_1 (a1534)) -> (c0_1 (a1534)) -> (~(c3_1 (a1534))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c0_1 X32))\/(~(c3_1 X32))))))\/(hskp17))) -> (c3_1 (a1535)) -> (~(c1_1 (a1535))) -> (~(c2_1 (a1535))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c3_1 X20)\/((~(c0_1 X20))\/(~(c2_1 X20)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1573))/\((~(c1_1 (a1573)))/\(~(c3_1 (a1573))))))) -> (~(c1_1 (a1543))) -> (~(c2_1 (a1543))) -> (c0_1 (a1543)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(~(c0_1 X16))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c2_1 X55)\/((c3_1 X55)\/(~(c1_1 X55))))))\/(hskp16))) -> ((hskp31)\/((hskp15)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a1538))) -> (~(c2_1 (a1538))) -> (~(c3_1 (a1538))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((c2_1 X9)\/(c3_1 X9)))))\/((forall X43 : zenon_U, ((ndr1_0)->((~(c0_1 X43))\/((~(c2_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1562))/\((c2_1 (a1562))/\(c3_1 (a1562)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H285 zenon_H84 zenon_H196 zenon_H1e8 zenon_H30c zenon_H2fc zenon_H2fb zenon_H2fa zenon_H1da zenon_H2dd zenon_H2db zenon_H2dc zenon_H303 zenon_H2bb zenon_He9 zenon_H292 zenon_H293 zenon_H294 zenon_Hfd zenon_H2a3 zenon_H10d zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2b2 zenon_H133. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L310_); trivial. % 1.12/1.32 apply (zenon_L1008_); trivial. % 1.12/1.32 (* end of lemma zenon_L1025_ *) % 1.12/1.32 apply NNPP. intro zenon_G. % 1.12/1.32 apply zenon_G. zenon_intro zenon_H333. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H335. zenon_intro zenon_H334. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H337. zenon_intro zenon_H336. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H339. zenon_intro zenon_H338. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33b. zenon_intro zenon_H33a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H29b. zenon_intro zenon_H33e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H29c. zenon_intro zenon_H33f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H28d. zenon_intro zenon_H340. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H28a. zenon_intro zenon_H341. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H286. zenon_intro zenon_H342. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H26b. zenon_intro zenon_H343. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H26c. zenon_intro zenon_H344. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H1b8. zenon_intro zenon_H345. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H1b0. zenon_intro zenon_H346. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H80. zenon_intro zenon_H347. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H84. zenon_intro zenon_H348. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H196. zenon_intro zenon_H349. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H1e8. zenon_intro zenon_H34a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H194. zenon_intro zenon_H34b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_He9. zenon_intro zenon_H34c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H81. zenon_intro zenon_H34d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H191. zenon_intro zenon_H34e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_Hea. zenon_intro zenon_H34f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H82. zenon_intro zenon_H350. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_Ha8. zenon_intro zenon_H351. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H23e. zenon_intro zenon_H352. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H83. zenon_intro zenon_H353. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H18c. zenon_intro zenon_H356. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H241. zenon_intro zenon_H357. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H38. zenon_intro zenon_H358. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H133. zenon_intro zenon_H359. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H320. zenon_intro zenon_H35a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35e. zenon_intro zenon_H35d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H360. zenon_intro zenon_H35f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H27c. zenon_intro zenon_H361. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H27e. zenon_intro zenon_H362. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H364. zenon_intro zenon_H363. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H366. zenon_intro zenon_H365. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H170. zenon_intro zenon_H367. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H2bb. zenon_intro zenon_H368. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H1ab. zenon_intro zenon_H369. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H303. zenon_intro zenon_H36a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H290. zenon_intro zenon_H36b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Hd3. zenon_intro zenon_H36c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H251. zenon_intro zenon_H36d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H16c. zenon_intro zenon_H36e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H26d. zenon_intro zenon_H36f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H27. zenon_intro zenon_H370. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H24f. zenon_intro zenon_H371. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H264. zenon_intro zenon_H372. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H260. zenon_intro zenon_H373. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H23f. zenon_intro zenon_H374. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H376. zenon_intro zenon_H375. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H21d. zenon_intro zenon_H377. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H379. zenon_intro zenon_H378. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H37b. zenon_intro zenon_H37a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H147. zenon_intro zenon_H37c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H12f. zenon_intro zenon_H37d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H6d. zenon_intro zenon_H37e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H7c. zenon_intro zenon_H37f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H1b3. zenon_intro zenon_H380. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H2c3. zenon_intro zenon_H381. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H20a. zenon_intro zenon_H382. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H2ee. zenon_intro zenon_H383. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2b2. zenon_intro zenon_H384. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_Hfd. zenon_intro zenon_H385. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_He4. zenon_intro zenon_H386. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2e4. zenon_intro zenon_H387. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_Hd1. zenon_intro zenon_H388. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H1da. zenon_intro zenon_H389. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H151. zenon_intro zenon_H38a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H1d4. zenon_intro zenon_H38b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H12a. zenon_intro zenon_H38c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H1d6. zenon_intro zenon_H38d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H322. zenon_intro zenon_H38e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H1ad. zenon_intro zenon_H38f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H391. zenon_intro zenon_H390. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H2d0. zenon_intro zenon_H392. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_Hf9. zenon_intro zenon_H393. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H53. zenon_intro zenon_H394. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H158. zenon_intro zenon_H395. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_Ha9. zenon_intro zenon_H396. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H1ca. zenon_intro zenon_H397. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H30c. zenon_intro zenon_H398. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H13d. zenon_intro zenon_H399. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf7. zenon_intro zenon_H39a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H2ce. zenon_intro zenon_H39b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_Ha4. zenon_intro zenon_H39c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c5. zenon_intro zenon_H39d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2c8. zenon_intro zenon_H39e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H93. zenon_intro zenon_H39f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H230. zenon_intro zenon_H3a0. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_Hde. zenon_intro zenon_H3a1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H125. zenon_intro zenon_H3a2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H3a4. zenon_intro zenon_H3a3. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H10f. zenon_intro zenon_H3a5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a5). zenon_intro zenon_H34. zenon_intro zenon_H3a6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a6). zenon_intro zenon_Hb5. zenon_intro zenon_H3a7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a7). zenon_intro zenon_H240. zenon_intro zenon_H3a8. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a8). zenon_intro zenon_H3aa. zenon_intro zenon_H3a9. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3a9). zenon_intro zenon_Hf. zenon_intro zenon_H3ab. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H2a3. zenon_intro zenon_H3ac. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3ae. zenon_intro zenon_H3ad. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H5. zenon_intro zenon_H3af. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H13. zenon_intro zenon_H3b0. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_He2 | zenon_intro zenon_H3b1 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H12c | zenon_intro zenon_H3b2 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H3 | zenon_intro zenon_H3b3 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 1.12/1.32 apply (zenon_L3_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.12/1.32 apply (zenon_L26_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_L61_); trivial. % 1.12/1.32 apply (zenon_L111_); trivial. % 1.12/1.32 apply (zenon_L124_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L127_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_L61_); trivial. % 1.12/1.32 apply (zenon_L155_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L115_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L166_); trivial. % 1.12/1.32 apply (zenon_L173_); trivial. % 1.12/1.32 apply (zenon_L123_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L127_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_L181_); trivial. % 1.12/1.32 apply (zenon_L184_); trivial. % 1.12/1.32 apply (zenon_L124_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L127_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_L181_); trivial. % 1.12/1.32 apply (zenon_L197_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L115_); trivial. % 1.12/1.32 apply (zenon_L200_); trivial. % 1.12/1.32 apply (zenon_L123_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L201_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L63_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.12/1.32 apply (zenon_L40_); trivial. % 1.12/1.32 apply (zenon_L202_); trivial. % 1.12/1.32 apply (zenon_L213_); trivial. % 1.12/1.32 apply (zenon_L219_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L225_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hb3 | zenon_intro zenon_He6 ]. % 1.12/1.32 apply (zenon_L59_); trivial. % 1.12/1.32 apply (zenon_L202_); trivial. % 1.12/1.32 apply (zenon_L226_); trivial. % 1.12/1.32 apply (zenon_L241_); trivial. % 1.12/1.32 apply (zenon_L124_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L245_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_L248_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L225_); trivial. % 1.12/1.32 apply (zenon_L246_); trivial. % 1.12/1.32 apply (zenon_L226_); trivial. % 1.12/1.32 apply (zenon_L241_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L115_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L225_); trivial. % 1.12/1.32 apply (zenon_L161_); trivial. % 1.12/1.32 apply (zenon_L253_); trivial. % 1.12/1.32 apply (zenon_L173_); trivial. % 1.12/1.32 apply (zenon_L123_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H18. zenon_intro zenon_H3b4. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H257. zenon_intro zenon_H3b5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H255. zenon_intro zenon_H256. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H25e | zenon_intro zenon_H3b6 ]. % 1.12/1.32 apply (zenon_L305_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H18. zenon_intro zenon_H3b7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H2a6. zenon_intro zenon_H3b8. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.32 apply (zenon_L343_); trivial. % 1.12/1.32 apply (zenon_L352_); trivial. % 1.12/1.32 apply (zenon_L353_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.32 apply (zenon_L357_); trivial. % 1.12/1.32 apply (zenon_L371_); trivial. % 1.12/1.32 apply (zenon_L292_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L404_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_L409_); trivial. % 1.12/1.32 apply (zenon_L411_); trivial. % 1.12/1.32 apply (zenon_L418_); trivial. % 1.12/1.32 apply (zenon_L438_); trivial. % 1.12/1.32 apply (zenon_L440_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_L447_); trivial. % 1.12/1.32 apply (zenon_L403_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_L247_); trivial. % 1.12/1.32 apply (zenon_L411_); trivial. % 1.12/1.32 apply (zenon_L418_); trivial. % 1.12/1.32 apply (zenon_L450_); trivial. % 1.12/1.32 apply (zenon_L451_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L470_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.32 apply (zenon_L35_); trivial. % 1.12/1.32 apply (zenon_L463_); trivial. % 1.12/1.32 apply (zenon_L411_); trivial. % 1.12/1.32 apply (zenon_L473_); trivial. % 1.12/1.32 apply (zenon_L474_); trivial. % 1.12/1.32 apply (zenon_L440_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_L447_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L478_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L415_); trivial. % 1.12/1.32 apply (zenon_L402_); trivial. % 1.12/1.32 apply (zenon_L123_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.32 apply (zenon_L29_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.32 apply (zenon_L481_); trivial. % 1.12/1.32 apply (zenon_L411_); trivial. % 1.12/1.32 apply (zenon_L473_); trivial. % 1.12/1.32 apply (zenon_L482_); trivial. % 1.12/1.32 apply (zenon_L486_); trivial. % 1.12/1.32 apply (zenon_L506_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H18. zenon_intro zenon_H3b9. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b9). zenon_intro zenon_H2dd. zenon_intro zenon_H3ba. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3ba). zenon_intro zenon_H2db. zenon_intro zenon_H2dc. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H3 | zenon_intro zenon_H3b3 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.32 apply (zenon_L512_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L127_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_L513_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.32 apply (zenon_L514_); trivial. % 1.12/1.32 apply (zenon_L515_); trivial. % 1.12/1.32 apply (zenon_L123_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_L522_); trivial. % 1.12/1.32 apply (zenon_L524_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_L525_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L539_); trivial. % 1.12/1.32 apply (zenon_L511_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L201_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_L513_); trivial. % 1.12/1.32 apply (zenon_L543_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L539_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_L513_); trivial. % 1.12/1.32 apply (zenon_L544_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_L522_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L539_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_L302_); trivial. % 1.12/1.32 apply (zenon_L544_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H18. zenon_intro zenon_H3b4. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H257. zenon_intro zenon_H3b5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H255. zenon_intro zenon_H256. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H25e | zenon_intro zenon_H3b6 ]. % 1.12/1.32 apply (zenon_L305_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H18. zenon_intro zenon_H3b7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H2a6. zenon_intro zenon_H3b8. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.32 apply (zenon_L550_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.32 apply (zenon_L347_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L349_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_L558_); trivial. % 1.12/1.33 apply (zenon_L350_); trivial. % 1.12/1.33 apply (zenon_L280_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L115_); trivial. % 1.12/1.33 apply (zenon_L562_); trivial. % 1.12/1.33 apply (zenon_L564_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L357_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L363_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_He0 | zenon_intro zenon_H1af ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L365_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_L558_); trivial. % 1.12/1.33 apply (zenon_L364_); trivial. % 1.12/1.33 apply (zenon_L280_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H18. zenon_intro zenon_H1b1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H19a. zenon_intro zenon_H1b2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L365_); trivial. % 1.12/1.33 apply (zenon_L562_); trivial. % 1.12/1.33 apply (zenon_L280_); trivial. % 1.12/1.33 apply (zenon_L292_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L565_); trivial. % 1.12/1.33 apply (zenon_L521_); trivial. % 1.12/1.33 apply (zenon_L566_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L357_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L363_); trivial. % 1.12/1.33 apply (zenon_L521_); trivial. % 1.12/1.33 apply (zenon_L292_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L404_); trivial. % 1.12/1.33 apply (zenon_L574_); trivial. % 1.12/1.33 apply (zenon_L586_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L470_); trivial. % 1.12/1.33 apply (zenon_L574_); trivial. % 1.12/1.33 apply (zenon_L586_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_L587_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L592_); trivial. % 1.12/1.33 apply (zenon_L521_); trivial. % 1.12/1.33 apply (zenon_L594_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_H18. zenon_intro zenon_H3bb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_H2fb. zenon_intro zenon_H3bc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_H2fc. zenon_intro zenon_H2fa. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H12c | zenon_intro zenon_H3b2 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H3 | zenon_intro zenon_H3b3 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H25e | zenon_intro zenon_H3b6 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_L609_); trivial. % 1.12/1.33 apply (zenon_L616_); trivial. % 1.12/1.33 apply (zenon_L618_); trivial. % 1.12/1.33 apply (zenon_L621_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_L63_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H18. zenon_intro zenon_Hec. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hba. zenon_intro zenon_Hed. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Hb8. zenon_intro zenon_Hb9. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.33 apply (zenon_L600_); trivial. % 1.12/1.33 apply (zenon_L622_); trivial. % 1.12/1.33 apply (zenon_L624_); trivial. % 1.12/1.33 apply (zenon_L634_); trivial. % 1.12/1.33 apply (zenon_L636_); trivial. % 1.12/1.33 apply (zenon_L663_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_L670_); trivial. % 1.12/1.33 apply (zenon_L676_); trivial. % 1.12/1.33 apply (zenon_L679_); trivial. % 1.12/1.33 apply (zenon_L681_); trivial. % 1.12/1.33 apply (zenon_L685_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.33 apply (zenon_L600_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.33 apply (zenon_L687_); trivial. % 1.12/1.33 apply (zenon_L608_); trivial. % 1.12/1.33 apply (zenon_L689_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.33 apply (zenon_L600_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.33 apply (zenon_L687_); trivial. % 1.12/1.33 apply (zenon_L617_); trivial. % 1.12/1.33 apply (zenon_L689_); trivial. % 1.12/1.33 apply (zenon_L691_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H18. zenon_intro zenon_H6e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H65. zenon_intro zenon_H6f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.33 apply (zenon_L695_); trivial. % 1.12/1.33 apply (zenon_L675_); trivial. % 1.12/1.33 apply (zenon_L624_); trivial. % 1.12/1.33 apply (zenon_L634_); trivial. % 1.12/1.33 apply (zenon_L636_); trivial. % 1.12/1.33 apply (zenon_L717_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e5 ]. % 1.12/1.33 apply (zenon_L667_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H18. zenon_intro zenon_H1e6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H1de. zenon_intro zenon_H1e7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1dc. zenon_intro zenon_H1dd. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_L668_); trivial. % 1.12/1.33 apply (zenon_L718_); trivial. % 1.12/1.33 apply (zenon_L691_); trivial. % 1.12/1.33 apply (zenon_L676_); trivial. % 1.12/1.33 apply (zenon_L634_); trivial. % 1.12/1.33 apply (zenon_L720_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 1.12/1.33 apply (zenon_L3_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18. zenon_intro zenon_H1b6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H5a. zenon_intro zenon_H1b7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_Hb | zenon_intro zenon_H85 ]. % 1.12/1.33 apply (zenon_L7_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H18. zenon_intro zenon_H86. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H4a. zenon_intro zenon_H87. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H4b. zenon_intro zenon_H49. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.33 apply (zenon_L727_); trivial. % 1.12/1.33 apply (zenon_L20_); trivial. % 1.12/1.33 apply (zenon_L736_); trivial. % 1.12/1.33 apply (zenon_L25_); trivial. % 1.12/1.33 apply (zenon_L740_); trivial. % 1.12/1.33 apply (zenon_L716_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_L743_); trivial. % 1.12/1.33 apply (zenon_L689_); trivial. % 1.12/1.33 apply (zenon_L691_); trivial. % 1.12/1.33 apply (zenon_L745_); trivial. % 1.12/1.33 apply (zenon_L752_); trivial. % 1.12/1.33 apply (zenon_L636_); trivial. % 1.12/1.33 apply (zenon_L761_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_L743_); trivial. % 1.12/1.33 apply (zenon_L718_); trivial. % 1.12/1.33 apply (zenon_L691_); trivial. % 1.12/1.33 apply (zenon_L745_); trivial. % 1.12/1.33 apply (zenon_L634_); trivial. % 1.12/1.33 apply (zenon_L720_); trivial. % 1.12/1.33 apply (zenon_L765_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H18. zenon_intro zenon_H3b7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H2a6. zenon_intro zenon_H3b8. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_L779_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_L786_); trivial. % 1.12/1.33 apply (zenon_L788_); trivial. % 1.12/1.33 apply (zenon_L685_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_L801_); trivial. % 1.12/1.33 apply (zenon_L717_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_L801_); trivial. % 1.12/1.33 apply (zenon_L820_); trivial. % 1.12/1.33 apply (zenon_L837_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H18. zenon_intro zenon_H3b4. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H257. zenon_intro zenon_H3b5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H255. zenon_intro zenon_H256. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H25e | zenon_intro zenon_H3b6 ]. % 1.12/1.33 apply (zenon_L849_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H18. zenon_intro zenon_H3b7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H2a6. zenon_intro zenon_H3b8. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L878_); trivial. % 1.12/1.33 apply (zenon_L880_); trivial. % 1.12/1.33 apply (zenon_L888_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L357_); trivial. % 1.12/1.33 apply (zenon_L889_); trivial. % 1.12/1.33 apply (zenon_L292_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_L851_); trivial. % 1.12/1.33 apply (zenon_L893_); trivial. % 1.12/1.33 apply (zenon_L840_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H18. zenon_intro zenon_H281. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H273. zenon_intro zenon_H282. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H274. zenon_intro zenon_H275. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L347_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_L879_); trivial. % 1.12/1.33 apply (zenon_L895_); trivial. % 1.12/1.33 apply (zenon_L896_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L357_); trivial. % 1.12/1.33 apply (zenon_L899_); trivial. % 1.12/1.33 apply (zenon_L292_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L907_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_L800_); trivial. % 1.12/1.33 apply (zenon_L908_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L910_); trivial. % 1.12/1.33 apply (zenon_L716_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L919_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_L804_); trivial. % 1.12/1.33 apply (zenon_L771_); trivial. % 1.12/1.33 apply (zenon_L799_); trivial. % 1.12/1.33 apply (zenon_L923_); trivial. % 1.12/1.33 apply (zenon_L820_); trivial. % 1.12/1.33 apply (zenon_L837_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H18. zenon_intro zenon_H3b9. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b9). zenon_intro zenon_H2dd. zenon_intro zenon_H3ba. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3ba). zenon_intro zenon_H2db. zenon_intro zenon_H2dc. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H3 | zenon_intro zenon_H3b3 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H25e | zenon_intro zenon_H3b6 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_L525_); trivial. % 1.12/1.33 apply (zenon_L934_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_L939_); trivial. % 1.12/1.33 apply (zenon_L510_); trivial. % 1.12/1.33 apply (zenon_L942_); trivial. % 1.12/1.33 apply (zenon_L681_); trivial. % 1.12/1.33 apply (zenon_L951_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L127_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hfb | zenon_intro zenon_H149 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H14f | zenon_intro zenon_H190 ]. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H18. zenon_intro zenon_H192. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H181. zenon_intro zenon_H193. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H182. zenon_intro zenon_H180. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H91 | zenon_intro zenon_Heb ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H156 | zenon_intro zenon_H18d ]. % 1.12/1.33 apply (zenon_L600_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18. zenon_intro zenon_H18e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H15d. zenon_intro zenon_H18f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 1.12/1.33 apply (zenon_L606_); trivial. % 1.12/1.33 apply (zenon_L935_); trivial. % 1.12/1.33 apply (zenon_L937_); trivial. % 1.12/1.33 apply (zenon_L621_); trivial. % 1.12/1.33 apply (zenon_L952_); trivial. % 1.12/1.33 apply (zenon_L752_); trivial. % 1.12/1.33 apply (zenon_L681_); trivial. % 1.12/1.33 apply (zenon_L934_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H18. zenon_intro zenon_H26f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H89. zenon_intro zenon_H270. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H8a. zenon_intro zenon_H88. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H7b ]. % 1.12/1.33 apply (zenon_L597_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H18. zenon_intro zenon_H7d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H73. zenon_intro zenon_H7e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H74. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_Hd | zenon_intro zenon_H6c ]. % 1.12/1.33 apply (zenon_L939_); trivial. % 1.12/1.33 apply (zenon_L952_); trivial. % 1.12/1.33 apply (zenon_L959_); trivial. % 1.12/1.33 apply (zenon_L681_); trivial. % 1.12/1.33 apply (zenon_L951_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_L960_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_L972_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L985_); trivial. % 1.12/1.33 apply (zenon_L716_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_L972_); trivial. % 1.12/1.33 apply (zenon_L761_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_L972_); trivial. % 1.12/1.33 apply (zenon_L986_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H18. zenon_intro zenon_H3b7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H2a6. zenon_intro zenon_H3b8. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_L996_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L127_); trivial. % 1.12/1.33 apply (zenon_L1000_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L992_); trivial. % 1.12/1.33 apply (zenon_L1003_); trivial. % 1.12/1.33 apply (zenon_L951_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_L960_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L201_); trivial. % 1.12/1.33 apply (zenon_L1007_); trivial. % 1.12/1.33 apply (zenon_L820_); trivial. % 1.12/1.33 apply (zenon_L1010_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H18. zenon_intro zenon_H3b4. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H257. zenon_intro zenon_H3b5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H255. zenon_intro zenon_H256. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H25e | zenon_intro zenon_H3b6 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L1011_); trivial. % 1.12/1.33 apply (zenon_L282_); trivial. % 1.12/1.33 apply (zenon_L1012_); trivial. % 1.12/1.33 apply (zenon_L293_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_L1016_); trivial. % 1.12/1.33 apply (zenon_L282_); trivial. % 1.12/1.33 apply (zenon_L1017_); trivial. % 1.12/1.33 apply (zenon_L293_); trivial. % 1.12/1.33 apply (zenon_L848_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H18. zenon_intro zenon_H3b7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H2a6. zenon_intro zenon_H3b8. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Hdc | zenon_intro zenon_H29d ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L1018_); trivial. % 1.12/1.33 apply (zenon_L549_); trivial. % 1.12/1.33 apply (zenon_L995_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H18. zenon_intro zenon_H287. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H1ba. zenon_intro zenon_H288. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L1018_); trivial. % 1.12/1.33 apply (zenon_L1000_); trivial. % 1.12/1.33 apply (zenon_L283_); trivial. % 1.12/1.33 apply (zenon_L1019_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18. zenon_intro zenon_H2a1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H294. zenon_intro zenon_H2a2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H262 | zenon_intro zenon_H280 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H195 ]. % 1.12/1.33 apply (zenon_L851_); trivial. % 1.12/1.33 apply (zenon_L1024_); trivial. % 1.12/1.33 apply (zenon_L1015_); trivial. % 1.12/1.33 apply (zenon_L995_); trivial. % 1.12/1.33 apply (zenon_L1025_); trivial. % 1.12/1.33 apply (zenon_L1019_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H18. zenon_intro zenon_H29e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H202. zenon_intro zenon_H29f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H203. zenon_intro zenon_H201. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H28e | zenon_intro zenon_H2a0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H10d | zenon_intro zenon_H289 ]. % 1.12/1.33 apply (zenon_L960_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H18. zenon_intro zenon_H28b. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H1eb. zenon_intro zenon_H28c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e9. zenon_intro zenon_H1ea. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H25 | zenon_intro zenon_H285 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1 | zenon_intro zenon_H26e ]. % 1.12/1.33 apply (zenon_L592_); trivial. % 1.12/1.33 apply (zenon_L1007_); trivial. % 1.12/1.33 apply (zenon_L820_); trivial. % 1.12/1.33 apply (zenon_L1010_); trivial. % 1.12/1.33 Qed. % 1.12/1.33 % SZS output end Proof % 1.12/1.33 (* END-PROOF *) % 1.12/1.33 nodes searched: 50638 % 1.12/1.33 max branch formulas: 456 % 1.12/1.33 proof nodes created: 9087 % 1.12/1.33 formulas created: 48339 % 1.12/1.33 %------------------------------------------------------------------------------