%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN508+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:53:46 EDT 2022 % Result : Theorem 0.79s 0.99s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN508+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 15:45:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.79/0.99 (* PROOF-FOUND *) % 0.79/0.99 % SZS status Theorem % 0.79/0.99 (* BEGIN-PROOF *) % 0.79/0.99 % SZS output start Proof % 0.79/0.99 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c0_1 (a706)))/\((~(c1_1 (a706)))/\(~(c2_1 (a706)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a707))/\((~(c1_1 (a707)))/\(~(c2_1 (a707)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a708))/\((~(c0_1 (a708)))/\(~(c3_1 (a708)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c1_1 (a710)))/\((~(c2_1 (a710)))/\(~(c3_1 (a710)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a711))/\((~(c1_1 (a711)))/\(~(c3_1 (a711)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c0_1 (a713)))/\((~(c2_1 (a713)))/\(~(c3_1 (a713)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a717))/\((~(c2_1 (a717)))/\(~(c3_1 (a717)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))))/\(((~(hskp9))\/((ndr1_0)/\((c1_1 (a719))/\((c2_1 (a719))/\(~(c0_1 (a719)))))))/\(((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720)))))))/\(((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))))/\(((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))))/\(((~(hskp13))\/((ndr1_0)/\((c3_1 (a727))/\((~(c0_1 (a727)))/\(~(c2_1 (a727)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))))/\(((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a747))/\((~(c2_1 (a747)))/\(~(c3_1 (a747)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c1_1 (a764)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773)))))))/\(((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp28)\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp3)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((hskp4)\/(hskp5)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((~(c0_1 X23))\/(~(c2_1 X23))))))\/(hskp30)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c2_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp6)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((hskp9)\/(hskp10)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp28)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp8)\/(hskp13)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp14)\/(hskp15)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((hskp4)\/(hskp3)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/(hskp20)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))))/\(((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp6)\/(hskp13)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81)))))))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp25)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp29)\/(hskp13)))/\(((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))))/\(((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp28)\/(hskp31)))/\(((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27)))/\(((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17)))/\(((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((hskp7)\/(hskp27)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0)))/\(((hskp23)\/((hskp30)\/(hskp17)))/\(((hskp25)\/((hskp29)\/(hskp9)))/\(((hskp25)\/((hskp18)\/(hskp12)))/\(((hskp6)\/((hskp1)\/(hskp21)))/\(((hskp6)\/((hskp8)\/(hskp18)))/\(((hskp16)\/((hskp24)\/(hskp4)))/\(((hskp24)\/((hskp1)\/(hskp2)))/\(((hskp7)\/((hskp14)\/(hskp8)))/\(((hskp29)\/((hskp18)\/(hskp10)))/\(((hskp9)\/((hskp20)\/(hskp18)))/\(((hskp22)\/((hskp8)\/(hskp11)))/\((hskp18)\/((hskp11)\/(hskp5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.79/0.99 Proof. % 0.79/0.99 assert (zenon_L1_ : (~(hskp7)) -> (hskp7) -> False). % 0.79/0.99 do 0 intro. intros zenon_H1 zenon_H2. % 0.79/0.99 exact (zenon_H1 zenon_H2). % 0.79/0.99 (* end of lemma zenon_L1_ *) % 0.79/0.99 assert (zenon_L2_ : (~(hskp14)) -> (hskp14) -> False). % 0.79/0.99 do 0 intro. intros zenon_H3 zenon_H4. % 0.79/0.99 exact (zenon_H3 zenon_H4). % 0.79/0.99 (* end of lemma zenon_L2_ *) % 0.79/0.99 assert (zenon_L3_ : (~(hskp8)) -> (hskp8) -> False). % 0.79/0.99 do 0 intro. intros zenon_H5 zenon_H6. % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 (* end of lemma zenon_L3_ *) % 0.79/0.99 assert (zenon_L4_ : ((hskp7)\/((hskp14)\/(hskp8))) -> (~(hskp7)) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.79/0.99 exact (zenon_H1 zenon_H2). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.79/0.99 exact (zenon_H3 zenon_H4). % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 (* end of lemma zenon_L4_ *) % 0.79/0.99 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.79/0.99 do 0 intro. intros zenon_H9 zenon_Ha. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 (* end of lemma zenon_L5_ *) % 0.79/0.99 assert (zenon_L6_ : (forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93)))))) -> (ndr1_0) -> (~(c2_1 (a730))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (c1_1 (a730)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.79/0.99 generalize (zenon_Hb (a730)). zenon_intro zenon_Hf. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.79/0.99 exact (zenon_Hc zenon_H12). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.79/0.99 generalize (zenon_Hd (a730)). zenon_intro zenon_H15. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H9 | zenon_intro zenon_H16 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.79/0.99 exact (zenon_H14 zenon_H18). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H12 | zenon_intro zenon_H13 ]. % 0.79/0.99 exact (zenon_Hc zenon_H12). % 0.79/0.99 exact (zenon_H13 zenon_He). % 0.79/0.99 exact (zenon_H13 zenon_He). % 0.79/0.99 (* end of lemma zenon_L6_ *) % 0.79/0.99 assert (zenon_L7_ : (~(hskp19)) -> (hskp19) -> False). % 0.79/0.99 do 0 intro. intros zenon_H19 zenon_H1a. % 0.79/0.99 exact (zenon_H19 zenon_H1a). % 0.79/0.99 (* end of lemma zenon_L7_ *) % 0.79/0.99 assert (zenon_L8_ : ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (c1_1 (a730)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (~(c2_1 (a730))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp8)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H1b zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H19 zenon_H5. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hb | zenon_intro zenon_H1c ]. % 0.79/0.99 apply (zenon_L6_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1a | zenon_intro zenon_H6 ]. % 0.79/0.99 exact (zenon_H19 zenon_H1a). % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 (* end of lemma zenon_L8_ *) % 0.79/0.99 assert (zenon_L9_ : (~(hskp1)) -> (hskp1) -> False). % 0.79/0.99 do 0 intro. intros zenon_H1d zenon_H1e. % 0.79/0.99 exact (zenon_H1d zenon_H1e). % 0.79/0.99 (* end of lemma zenon_L9_ *) % 0.79/0.99 assert (zenon_L10_ : (~(hskp12)) -> (hskp12) -> False). % 0.79/0.99 do 0 intro. intros zenon_H1f zenon_H20. % 0.79/0.99 exact (zenon_H1f zenon_H20). % 0.79/0.99 (* end of lemma zenon_L10_ *) % 0.79/0.99 assert (zenon_L11_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp8)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a730))) -> (c1_1 (a730)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp1)) -> (~(hskp12)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H21 zenon_H5 zenon_H19 zenon_Ha zenon_Hc zenon_He zenon_H1b zenon_H1d zenon_H1f. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_Hd | zenon_intro zenon_H22 ]. % 0.79/0.99 apply (zenon_L8_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.79/0.99 exact (zenon_H1d zenon_H1e). % 0.79/0.99 exact (zenon_H1f zenon_H20). % 0.79/0.99 (* end of lemma zenon_L11_ *) % 0.79/0.99 assert (zenon_L12_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H23 zenon_Ha zenon_H24 zenon_H25 zenon_H26. % 0.79/0.99 generalize (zenon_H23 (a741)). zenon_intro zenon_H27. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H9 | zenon_intro zenon_H28 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.79/0.99 exact (zenon_H24 zenon_H2a). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.79/0.99 exact (zenon_H2c zenon_H25). % 0.79/0.99 exact (zenon_H2b zenon_H26). % 0.79/0.99 (* end of lemma zenon_L12_ *) % 0.79/0.99 assert (zenon_L13_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H2d zenon_H2e zenon_H1d zenon_H5. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H23 | zenon_intro zenon_H31 ]. % 0.79/0.99 apply (zenon_L12_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H1e | zenon_intro zenon_H6 ]. % 0.79/0.99 exact (zenon_H1d zenon_H1e). % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 (* end of lemma zenon_L13_ *) % 0.79/0.99 assert (zenon_L14_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H32 zenon_H2e zenon_H1b zenon_H5 zenon_He zenon_Hc zenon_Ha zenon_H1d zenon_H1f zenon_H21. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/0.99 apply (zenon_L11_); trivial. % 0.79/0.99 apply (zenon_L13_); trivial. % 0.79/0.99 (* end of lemma zenon_L14_ *) % 0.79/0.99 assert (zenon_L15_ : (~(hskp22)) -> (hskp22) -> False). % 0.79/0.99 do 0 intro. intros zenon_H33 zenon_H34. % 0.79/0.99 exact (zenon_H33 zenon_H34). % 0.79/0.99 (* end of lemma zenon_L15_ *) % 0.79/0.99 assert (zenon_L16_ : (~(hskp11)) -> (hskp11) -> False). % 0.79/0.99 do 0 intro. intros zenon_H35 zenon_H36. % 0.79/0.99 exact (zenon_H35 zenon_H36). % 0.79/0.99 (* end of lemma zenon_L16_ *) % 0.79/0.99 assert (zenon_L17_ : ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp22)) -> (~(hskp8)) -> (~(hskp11)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H37 zenon_H33 zenon_H5 zenon_H35. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H34 | zenon_intro zenon_H38 ]. % 0.79/0.99 exact (zenon_H33 zenon_H34). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H6 | zenon_intro zenon_H36 ]. % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 exact (zenon_H35 zenon_H36). % 0.79/0.99 (* end of lemma zenon_L17_ *) % 0.79/0.99 assert (zenon_L18_ : (forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81)))))) -> (ndr1_0) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H39 zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 0.79/0.99 generalize (zenon_H39 (a756)). zenon_intro zenon_H3d. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H3e ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.79/0.99 exact (zenon_H3a zenon_H40). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.79/0.99 exact (zenon_H42 zenon_H3b). % 0.79/0.99 exact (zenon_H41 zenon_H3c). % 0.79/0.99 (* end of lemma zenon_L18_ *) % 0.79/0.99 assert (zenon_L19_ : (~(hskp0)) -> (hskp0) -> False). % 0.79/0.99 do 0 intro. intros zenon_H43 zenon_H44. % 0.79/0.99 exact (zenon_H43 zenon_H44). % 0.79/0.99 (* end of lemma zenon_L19_ *) % 0.79/0.99 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H45 zenon_H46 zenon_H5 zenon_H43. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H39 | zenon_intro zenon_H49 ]. % 0.79/0.99 apply (zenon_L18_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H6 | zenon_intro zenon_H44 ]. % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 exact (zenon_H43 zenon_H44). % 0.79/0.99 (* end of lemma zenon_L20_ *) % 0.79/0.99 assert (zenon_L21_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H4a zenon_H46 zenon_H43 zenon_H5 zenon_H35 zenon_H37. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/0.99 apply (zenon_L17_); trivial. % 0.79/0.99 apply (zenon_L20_); trivial. % 0.79/0.99 (* end of lemma zenon_L21_ *) % 0.79/0.99 assert (zenon_L22_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H4b zenon_Ha zenon_H4c zenon_H4d zenon_H4e. % 0.79/0.99 generalize (zenon_H4b (a721)). zenon_intro zenon_H4f. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H4f); [ zenon_intro zenon_H9 | zenon_intro zenon_H50 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ]. % 0.79/0.99 exact (zenon_H4c zenon_H52). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.79/0.99 exact (zenon_H4d zenon_H54). % 0.79/0.99 exact (zenon_H53 zenon_H4e). % 0.79/0.99 (* end of lemma zenon_L22_ *) % 0.79/0.99 assert (zenon_L23_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H55 zenon_H4e zenon_H4d zenon_H4c zenon_Ha zenon_H1 zenon_H5. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H4b | zenon_intro zenon_H56 ]. % 0.79/0.99 apply (zenon_L22_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2 | zenon_intro zenon_H6 ]. % 0.79/0.99 exact (zenon_H1 zenon_H2). % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 (* end of lemma zenon_L23_ *) % 0.79/0.99 assert (zenon_L24_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H57 zenon_H55 zenon_H1 zenon_H5. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/0.99 apply (zenon_L23_); trivial. % 0.79/0.99 (* end of lemma zenon_L24_ *) % 0.79/0.99 assert (zenon_L25_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H5a zenon_H55 zenon_H1 zenon_H37 zenon_H5 zenon_H43 zenon_H46 zenon_H4a. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/0.99 apply (zenon_L21_); trivial. % 0.79/0.99 apply (zenon_L24_); trivial. % 0.79/0.99 (* end of lemma zenon_L25_ *) % 0.79/0.99 assert (zenon_L26_ : (~(hskp18)) -> (hskp18) -> False). % 0.79/0.99 do 0 intro. intros zenon_H5b zenon_H5c. % 0.79/0.99 exact (zenon_H5b zenon_H5c). % 0.79/0.99 (* end of lemma zenon_L26_ *) % 0.79/0.99 assert (zenon_L27_ : (~(hskp5)) -> (hskp5) -> False). % 0.79/0.99 do 0 intro. intros zenon_H5d zenon_H5e. % 0.79/0.99 exact (zenon_H5d zenon_H5e). % 0.79/0.99 (* end of lemma zenon_L27_ *) % 0.79/0.99 assert (zenon_L28_ : ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp18)) -> (~(hskp11)) -> (~(hskp5)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H5f zenon_H5b zenon_H35 zenon_H5d. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H5c | zenon_intro zenon_H60 ]. % 0.79/0.99 exact (zenon_H5b zenon_H5c). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H36 | zenon_intro zenon_H5e ]. % 0.79/0.99 exact (zenon_H35 zenon_H36). % 0.79/0.99 exact (zenon_H5d zenon_H5e). % 0.79/0.99 (* end of lemma zenon_L28_ *) % 0.79/0.99 assert (zenon_L29_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hd zenon_Ha zenon_H61 zenon_H62 zenon_H63. % 0.79/0.99 generalize (zenon_Hd (a718)). zenon_intro zenon_H64. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H64); [ zenon_intro zenon_H9 | zenon_intro zenon_H65 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.79/0.99 exact (zenon_H61 zenon_H67). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.79/0.99 exact (zenon_H62 zenon_H69). % 0.79/0.99 exact (zenon_H68 zenon_H63). % 0.79/0.99 (* end of lemma zenon_L29_ *) % 0.79/0.99 assert (zenon_L30_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H6a zenon_Ha zenon_H6b zenon_H6c zenon_H6d. % 0.79/0.99 generalize (zenon_H6a (a739)). zenon_intro zenon_H6e. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H9 | zenon_intro zenon_H6f ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 0.79/0.99 exact (zenon_H6b zenon_H71). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.79/0.99 exact (zenon_H73 zenon_H6c). % 0.79/0.99 exact (zenon_H72 zenon_H6d). % 0.79/0.99 (* end of lemma zenon_L30_ *) % 0.79/0.99 assert (zenon_L31_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (~(hskp11)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H74 zenon_H75 zenon_H63 zenon_H62 zenon_H61 zenon_H35. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_Hd | zenon_intro zenon_H78 ]. % 0.79/0.99 apply (zenon_L29_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6a | zenon_intro zenon_H36 ]. % 0.79/0.99 apply (zenon_L30_); trivial. % 0.79/0.99 exact (zenon_H35 zenon_H36). % 0.79/0.99 (* end of lemma zenon_L31_ *) % 0.79/0.99 assert (zenon_L32_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H79 zenon_H75 zenon_H63 zenon_H62 zenon_H61 zenon_H35 zenon_H5d zenon_H5f. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/0.99 apply (zenon_L28_); trivial. % 0.79/0.99 apply (zenon_L31_); trivial. % 0.79/0.99 (* end of lemma zenon_L32_ *) % 0.79/0.99 assert (zenon_L33_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp12)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H21 zenon_H63 zenon_H62 zenon_H61 zenon_Ha zenon_H1d zenon_H1f. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_Hd | zenon_intro zenon_H22 ]. % 0.79/0.99 apply (zenon_L29_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.79/0.99 exact (zenon_H1d zenon_H1e). % 0.79/0.99 exact (zenon_H1f zenon_H20). % 0.79/0.99 (* end of lemma zenon_L33_ *) % 0.79/0.99 assert (zenon_L34_ : (~(hskp6)) -> (hskp6) -> False). % 0.79/0.99 do 0 intro. intros zenon_H7a zenon_H7b. % 0.79/0.99 exact (zenon_H7a zenon_H7b). % 0.79/0.99 (* end of lemma zenon_L34_ *) % 0.79/0.99 assert (zenon_L35_ : (~(hskp21)) -> (hskp21) -> False). % 0.79/0.99 do 0 intro. intros zenon_H7c zenon_H7d. % 0.79/0.99 exact (zenon_H7c zenon_H7d). % 0.79/0.99 (* end of lemma zenon_L35_ *) % 0.79/0.99 assert (zenon_L36_ : ((hskp6)\/((hskp1)\/(hskp21))) -> (~(hskp6)) -> (~(hskp1)) -> (~(hskp21)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H7e zenon_H7a zenon_H1d zenon_H7c. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H7b | zenon_intro zenon_H7f ]. % 0.79/0.99 exact (zenon_H7a zenon_H7b). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H1e | zenon_intro zenon_H7d ]. % 0.79/0.99 exact (zenon_H1d zenon_H1e). % 0.79/0.99 exact (zenon_H7c zenon_H7d). % 0.79/0.99 (* end of lemma zenon_L36_ *) % 0.79/0.99 assert (zenon_L37_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H80 zenon_Ha zenon_H81 zenon_H82 zenon_H83. % 0.79/0.99 generalize (zenon_H80 (a725)). zenon_intro zenon_H84. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H84); [ zenon_intro zenon_H9 | zenon_intro zenon_H85 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H87 | zenon_intro zenon_H86 ]. % 0.79/0.99 exact (zenon_H81 zenon_H87). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ]. % 0.79/0.99 exact (zenon_H82 zenon_H89). % 0.79/0.99 exact (zenon_H88 zenon_H83). % 0.79/0.99 (* end of lemma zenon_L37_ *) % 0.79/0.99 assert (zenon_L38_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a748))) -> (c2_1 (a748)) -> (c3_1 (a748)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H8a zenon_Ha zenon_H8b zenon_H8c zenon_H8d. % 0.79/0.99 generalize (zenon_H8a (a748)). zenon_intro zenon_H8e. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H8e); [ zenon_intro zenon_H9 | zenon_intro zenon_H8f ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 0.79/0.99 exact (zenon_H8b zenon_H91). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.79/0.99 exact (zenon_H93 zenon_H8c). % 0.79/0.99 exact (zenon_H92 zenon_H8d). % 0.79/0.99 (* end of lemma zenon_L38_ *) % 0.79/0.99 assert (zenon_L39_ : ((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H94 zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H4e zenon_H4d zenon_H4c. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Ha. zenon_intro zenon_H96. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8c. zenon_intro zenon_H97. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/0.99 apply (zenon_L37_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/0.99 apply (zenon_L22_); trivial. % 0.79/0.99 apply (zenon_L38_); trivial. % 0.79/0.99 (* end of lemma zenon_L39_ *) % 0.79/0.99 assert (zenon_L40_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(hskp6)) -> (~(hskp1)) -> ((hskp6)\/((hskp1)\/(hskp21))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H99 zenon_H9a zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H7a zenon_H1d zenon_H7e. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.79/0.99 apply (zenon_L36_); trivial. % 0.79/0.99 apply (zenon_L39_); trivial. % 0.79/0.99 (* end of lemma zenon_L40_ *) % 0.79/0.99 assert (zenon_L41_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp1)\/(hskp21))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H57 zenon_H9d zenon_H9a zenon_H95 zenon_H7a zenon_H7e zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H21. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/0.99 apply (zenon_L33_); trivial. % 0.79/0.99 apply (zenon_L40_); trivial. % 0.79/0.99 (* end of lemma zenon_L41_ *) % 0.79/0.99 assert (zenon_L42_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp1)\/(hskp21))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H5a zenon_H9d zenon_H9a zenon_H95 zenon_H7a zenon_H7e zenon_H1d zenon_H21 zenon_H5f zenon_H5d zenon_H61 zenon_H62 zenon_H63 zenon_H75 zenon_H79. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/0.99 apply (zenon_L32_); trivial. % 0.79/0.99 apply (zenon_L41_); trivial. % 0.79/0.99 (* end of lemma zenon_L42_ *) % 0.79/0.99 assert (zenon_L43_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H9e zenon_Ha zenon_H4d zenon_H8a zenon_H4c zenon_H4e. % 0.79/0.99 generalize (zenon_H9e (a721)). zenon_intro zenon_H9f. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H9f); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha0 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha1 ]. % 0.79/0.99 exact (zenon_H4d zenon_H54). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H53 ]. % 0.79/0.99 generalize (zenon_H8a (a721)). zenon_intro zenon_Ha3. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Ha3); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha4 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H52 | zenon_intro zenon_Ha5 ]. % 0.79/0.99 exact (zenon_H4c zenon_H52). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H53 ]. % 0.79/0.99 exact (zenon_Ha6 zenon_Ha2). % 0.79/0.99 exact (zenon_H53 zenon_H4e). % 0.79/0.99 exact (zenon_H53 zenon_H4e). % 0.79/0.99 (* end of lemma zenon_L43_ *) % 0.79/0.99 assert (zenon_L44_ : (~(hskp17)) -> (hskp17) -> False). % 0.79/0.99 do 0 intro. intros zenon_Ha7 zenon_Ha8. % 0.79/0.99 exact (zenon_Ha7 zenon_Ha8). % 0.79/0.99 (* end of lemma zenon_L44_ *) % 0.79/0.99 assert (zenon_L45_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a721))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp17)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Ha9 zenon_H4e zenon_H4c zenon_H8a zenon_H4d zenon_Ha zenon_H3 zenon_Ha7. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9e | zenon_intro zenon_Haa ]. % 0.79/0.99 apply (zenon_L43_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H4 | zenon_intro zenon_Ha8 ]. % 0.79/0.99 exact (zenon_H3 zenon_H4). % 0.79/0.99 exact (zenon_Ha7 zenon_Ha8). % 0.79/0.99 (* end of lemma zenon_L45_ *) % 0.79/0.99 assert (zenon_L46_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hab zenon_H3 zenon_Ha zenon_H4d zenon_H4c zenon_H4e zenon_Ha9 zenon_H7c zenon_Ha7. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H8a | zenon_intro zenon_Hac ]. % 0.79/0.99 apply (zenon_L45_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha8 ]. % 0.79/0.99 exact (zenon_H7c zenon_H7d). % 0.79/0.99 exact (zenon_Ha7 zenon_Ha8). % 0.79/0.99 (* end of lemma zenon_L46_ *) % 0.79/0.99 assert (zenon_L47_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (~(c0_1 (a748))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (c2_1 (a748)) -> (c3_1 (a748)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H23 zenon_Ha zenon_H8b zenon_H80 zenon_H8c zenon_H8d. % 0.79/0.99 generalize (zenon_H23 (a748)). zenon_intro zenon_Had. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_H9 | zenon_intro zenon_Hae ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H91 | zenon_intro zenon_Haf ]. % 0.79/0.99 exact (zenon_H8b zenon_H91). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H92 ]. % 0.79/0.99 generalize (zenon_H80 (a748)). zenon_intro zenon_Hb1. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hb1); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb2 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb3 ]. % 0.79/0.99 exact (zenon_H8b zenon_H91). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H93 ]. % 0.79/0.99 exact (zenon_Hb0 zenon_Hb4). % 0.79/0.99 exact (zenon_H93 zenon_H8c). % 0.79/0.99 exact (zenon_H92 zenon_H8d). % 0.79/0.99 (* end of lemma zenon_L47_ *) % 0.79/0.99 assert (zenon_L48_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (c3_1 (a748)) -> (c2_1 (a748)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a748))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H2e zenon_H8d zenon_H8c zenon_H80 zenon_H8b zenon_Ha zenon_H1d zenon_H5. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H23 | zenon_intro zenon_H31 ]. % 0.79/0.99 apply (zenon_L47_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H1e | zenon_intro zenon_H6 ]. % 0.79/0.99 exact (zenon_H1d zenon_H1e). % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 (* end of lemma zenon_L48_ *) % 0.79/0.99 assert (zenon_L49_ : ((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H94 zenon_H95 zenon_H5 zenon_H1d zenon_H2e zenon_H4e zenon_H4d zenon_H4c. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Ha. zenon_intro zenon_H96. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8c. zenon_intro zenon_H97. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/0.99 apply (zenon_L48_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/0.99 apply (zenon_L22_); trivial. % 0.79/0.99 apply (zenon_L38_); trivial. % 0.79/0.99 (* end of lemma zenon_L49_ *) % 0.79/0.99 assert (zenon_L50_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp17)) -> (~(hskp14)) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H9a zenon_H95 zenon_H1d zenon_H5 zenon_H2e zenon_Ha9 zenon_Ha7 zenon_H3 zenon_H4e zenon_H4c zenon_H4d zenon_Ha zenon_Hab. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.79/0.99 apply (zenon_L46_); trivial. % 0.79/0.99 apply (zenon_L49_); trivial. % 0.79/0.99 (* end of lemma zenon_L50_ *) % 0.79/0.99 assert (zenon_L51_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (c2_1 (a734)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H80 zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hb7. % 0.79/0.99 generalize (zenon_H80 (a734)). zenon_intro zenon_Hb8. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hb8); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb9 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 0.79/0.99 exact (zenon_Hb5 zenon_Hbb). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.79/0.99 exact (zenon_Hb6 zenon_Hbd). % 0.79/0.99 exact (zenon_Hbc zenon_Hb7). % 0.79/0.99 (* end of lemma zenon_L51_ *) % 0.79/0.99 assert (zenon_L52_ : (forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70))))) -> (ndr1_0) -> (~(c1_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hbe zenon_Ha zenon_Hb6 zenon_H80 zenon_Hb5 zenon_Hbf. % 0.79/0.99 generalize (zenon_Hbe (a734)). zenon_intro zenon_Hc0. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hc0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc1 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc2 ]. % 0.79/0.99 exact (zenon_Hb6 zenon_Hbd). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.79/0.99 apply (zenon_L51_); trivial. % 0.79/0.99 exact (zenon_Hbf zenon_Hc3). % 0.79/0.99 (* end of lemma zenon_L52_ *) % 0.79/0.99 assert (zenon_L53_ : (forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (c1_1 (a717)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc4 zenon_Hc5 zenon_Hc6. % 0.79/0.99 generalize (zenon_Hb (a717)). zenon_intro zenon_Hc7. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc8 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 0.79/0.99 exact (zenon_Hc4 zenon_Hca). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 0.79/0.99 exact (zenon_Hcc zenon_Hc5). % 0.79/0.99 exact (zenon_Hcb zenon_Hc6). % 0.79/0.99 (* end of lemma zenon_L53_ *) % 0.79/0.99 assert (zenon_L54_ : (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71)))))) -> (ndr1_0) -> (forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93)))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hcd zenon_Ha zenon_Hb zenon_Hc4 zenon_Hc5 zenon_Hce. % 0.79/0.99 generalize (zenon_Hcd (a717)). zenon_intro zenon_Hcf. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd0 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 0.79/0.99 apply (zenon_L53_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hcc ]. % 0.79/0.99 exact (zenon_Hce zenon_Hd2). % 0.79/0.99 exact (zenon_Hcc zenon_Hc5). % 0.79/0.99 (* end of lemma zenon_L54_ *) % 0.79/0.99 assert (zenon_L55_ : ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (ndr1_0) -> (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71)))))) -> (~(hskp19)) -> (~(hskp8)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H1b zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Ha zenon_Hcd zenon_H19 zenon_H5. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hb | zenon_intro zenon_H1c ]. % 0.79/0.99 apply (zenon_L54_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1a | zenon_intro zenon_H6 ]. % 0.79/0.99 exact (zenon_H19 zenon_H1a). % 0.79/0.99 exact (zenon_H5 zenon_H6). % 0.79/0.99 (* end of lemma zenon_L55_ *) % 0.79/0.99 assert (zenon_L56_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_Hd4 zenon_Hc4 zenon_Hce zenon_Hc5. % 0.79/0.99 generalize (zenon_Hd3 (a717)). zenon_intro zenon_Hd5. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd6 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd7 ]. % 0.79/0.99 generalize (zenon_Hd4 (a717)). zenon_intro zenon_Hd8. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hd8); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd9 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hca | zenon_intro zenon_Hda ]. % 0.79/0.99 exact (zenon_Hc4 zenon_Hca). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hcb ]. % 0.79/0.99 exact (zenon_Hce zenon_Hd2). % 0.79/0.99 exact (zenon_Hcb zenon_Hc6). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcc ]. % 0.79/0.99 exact (zenon_Hc4 zenon_Hca). % 0.79/0.99 exact (zenon_Hcc zenon_Hc5). % 0.79/0.99 (* end of lemma zenon_L56_ *) % 0.79/0.99 assert (zenon_L57_ : (~(hskp30)) -> (hskp30) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hdb zenon_Hdc. % 0.79/0.99 exact (zenon_Hdb zenon_Hdc). % 0.79/0.99 (* end of lemma zenon_L57_ *) % 0.79/0.99 assert (zenon_L58_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hd4 zenon_Ha zenon_Hdb zenon_H5b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.79/0.99 apply (zenon_L56_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hdc | zenon_intro zenon_H5c ]. % 0.79/0.99 exact (zenon_Hdb zenon_Hdc). % 0.79/0.99 exact (zenon_H5b zenon_H5c). % 0.79/0.99 (* end of lemma zenon_L58_ *) % 0.79/0.99 assert (zenon_L59_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a734))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hdf zenon_Hbf zenon_Hb5 zenon_H80 zenon_Hb6 zenon_H5 zenon_H19 zenon_H1b zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.79/0.99 apply (zenon_L52_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.79/0.99 apply (zenon_L55_); trivial. % 0.79/0.99 apply (zenon_L58_); trivial. % 0.79/0.99 (* end of lemma zenon_L59_ *) % 0.79/0.99 assert (zenon_L60_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.79/0.99 do 0 intro. intros zenon_He1 zenon_H1b zenon_H19 zenon_H5 zenon_Hb6 zenon_Hb5 zenon_Hbf zenon_Hdf zenon_H4e zenon_H4d zenon_H4c zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.79/0.99 apply (zenon_L59_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.79/0.99 apply (zenon_L22_); trivial. % 0.79/0.99 apply (zenon_L58_); trivial. % 0.79/0.99 (* end of lemma zenon_L60_ *) % 0.79/0.99 assert (zenon_L61_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> False). % 0.79/0.99 do 0 intro. intros zenon_He3 zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hbf. % 0.79/0.99 generalize (zenon_He3 (a734)). zenon_intro zenon_He4. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H9 | zenon_intro zenon_He5 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hbb | zenon_intro zenon_He6 ]. % 0.79/0.99 exact (zenon_Hb5 zenon_Hbb). % 0.79/0.99 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc3 ]. % 0.79/0.99 exact (zenon_Hb6 zenon_Hbd). % 0.79/0.99 exact (zenon_Hbf zenon_Hc3). % 0.79/0.99 (* end of lemma zenon_L61_ *) % 0.79/0.99 assert (zenon_L62_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> False). % 0.79/0.99 do 0 intro. intros zenon_He7 zenon_Ha zenon_Hb5 zenon_H80 zenon_Hb6 zenon_Hbf. % 0.79/0.99 generalize (zenon_He7 (a734)). zenon_intro zenon_He8. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_He8); [ zenon_intro zenon_H9 | zenon_intro zenon_He9 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hc2 ]. % 0.79/0.99 exact (zenon_Hb5 zenon_Hbb). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc3 ]. % 0.79/0.99 apply (zenon_L51_); trivial. % 0.79/0.99 exact (zenon_Hbf zenon_Hc3). % 0.79/0.99 (* end of lemma zenon_L62_ *) % 0.79/0.99 assert (zenon_L63_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a734))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hdf zenon_Hbf zenon_Hb5 zenon_H80 zenon_Hb6 zenon_H5 zenon_H19 zenon_H1b zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.79/0.99 apply (zenon_L52_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.79/0.99 apply (zenon_L55_); trivial. % 0.79/0.99 apply (zenon_L56_); trivial. % 0.79/0.99 (* end of lemma zenon_L63_ *) % 0.79/0.99 assert (zenon_L64_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a714)) -> (c2_1 (a714)) -> (c3_1 (a714)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hea zenon_Ha zenon_Heb zenon_Hec zenon_Hed. % 0.79/0.99 generalize (zenon_Hea (a714)). zenon_intro zenon_Hee. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hee); [ zenon_intro zenon_H9 | zenon_intro zenon_Hef ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ]. % 0.79/0.99 exact (zenon_Hf1 zenon_Heb). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hf2 ]. % 0.79/0.99 exact (zenon_Hf3 zenon_Hec). % 0.79/0.99 exact (zenon_Hf2 zenon_Hed). % 0.79/0.99 (* end of lemma zenon_L64_ *) % 0.79/0.99 assert (zenon_L65_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_H5 zenon_H19 zenon_H1b zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hf6. % 0.79/0.99 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.79/0.99 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.79/0.99 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/0.99 apply (zenon_L61_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.79/0.99 apply (zenon_L62_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.79/0.99 apply (zenon_L63_); trivial. % 0.79/0.99 apply (zenon_L64_); trivial. % 0.79/0.99 apply (zenon_L64_); trivial. % 0.79/0.99 (* end of lemma zenon_L65_ *) % 0.79/0.99 assert (zenon_L66_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (ndr1_0) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H32 zenon_H2e zenon_H1d zenon_He1 zenon_H4e zenon_H4d zenon_H4c zenon_Ha zenon_Hb6 zenon_Hb5 zenon_Hbf zenon_H1b zenon_H5 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdd zenon_H5b zenon_Hdf zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/0.99 apply (zenon_L60_); trivial. % 0.79/0.99 apply (zenon_L65_); trivial. % 0.79/0.99 apply (zenon_L13_); trivial. % 0.79/0.99 (* end of lemma zenon_L66_ *) % 0.79/0.99 assert (zenon_L67_ : (forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hfc zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.79/0.99 generalize (zenon_Hfc (a717)). zenon_intro zenon_Hfd. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_Hfd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfe ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd1 ]. % 0.79/0.99 exact (zenon_Hc4 zenon_Hca). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hcc ]. % 0.79/0.99 exact (zenon_Hce zenon_Hd2). % 0.79/0.99 exact (zenon_Hcc zenon_Hc5). % 0.79/0.99 (* end of lemma zenon_L67_ *) % 0.79/0.99 assert (zenon_L68_ : (~(hskp29)) -> (hskp29) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hff zenon_H100. % 0.79/0.99 exact (zenon_Hff zenon_H100). % 0.79/0.99 (* end of lemma zenon_L68_ *) % 0.79/0.99 assert (zenon_L69_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H101 zenon_H4e zenon_H4d zenon_H4c zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hff. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H4b | zenon_intro zenon_H102 ]. % 0.79/0.99 apply (zenon_L22_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfc | zenon_intro zenon_H100 ]. % 0.79/0.99 apply (zenon_L67_); trivial. % 0.79/0.99 exact (zenon_Hff zenon_H100). % 0.79/0.99 (* end of lemma zenon_L69_ *) % 0.79/0.99 assert (zenon_L70_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (ndr1_0) -> (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71)))))) -> (~(hskp14)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H103 zenon_H6d zenon_H6c zenon_H6b zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Ha zenon_Hcd zenon_H3. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H6a | zenon_intro zenon_H104 ]. % 0.79/0.99 apply (zenon_L30_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.79/0.99 apply (zenon_L54_); trivial. % 0.79/0.99 exact (zenon_H3 zenon_H4). % 0.79/0.99 (* end of lemma zenon_L70_ *) % 0.79/0.99 assert (zenon_L71_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a734))) -> (~(hskp14)) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hdf zenon_Hbf zenon_Hb5 zenon_H80 zenon_Hb6 zenon_H3 zenon_H6b zenon_H6c zenon_H6d zenon_H103 zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.79/0.99 apply (zenon_L52_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.79/0.99 apply (zenon_L70_); trivial. % 0.79/0.99 apply (zenon_L56_); trivial. % 0.79/0.99 (* end of lemma zenon_L71_ *) % 0.79/0.99 assert (zenon_L72_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a739)) -> (c2_1 (a739)) -> (c3_1 (a739)) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hea zenon_Ha zenon_H105 zenon_H6c zenon_H6d. % 0.79/0.99 generalize (zenon_Hea (a739)). zenon_intro zenon_H106. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_H9 | zenon_intro zenon_H107 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H108 | zenon_intro zenon_H70 ]. % 0.79/0.99 exact (zenon_H108 zenon_H105). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.79/0.99 exact (zenon_H73 zenon_H6c). % 0.79/0.99 exact (zenon_H72 zenon_H6d). % 0.79/0.99 (* end of lemma zenon_L72_ *) % 0.79/0.99 assert (zenon_L73_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H80 zenon_Ha zenon_Hea zenon_H6c zenon_H6d zenon_H6b. % 0.79/0.99 generalize (zenon_H80 (a739)). zenon_intro zenon_H109. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H109); [ zenon_intro zenon_H9 | zenon_intro zenon_H10a ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H105 | zenon_intro zenon_H10b ]. % 0.79/0.99 apply (zenon_L72_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H71 | zenon_intro zenon_H73 ]. % 0.79/0.99 exact (zenon_H6b zenon_H71). % 0.79/0.99 exact (zenon_H73 zenon_H6c). % 0.79/0.99 (* end of lemma zenon_L73_ *) % 0.79/0.99 assert (zenon_L74_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hf6 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H103 zenon_H3 zenon_Hb6 zenon_Hb5 zenon_Hbf zenon_Hdf zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.79/0.99 apply (zenon_L62_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.79/0.99 apply (zenon_L71_); trivial. % 0.79/0.99 apply (zenon_L73_); trivial. % 0.79/0.99 (* end of lemma zenon_L74_ *) % 0.79/0.99 assert (zenon_L75_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c1_1 (a709)) -> (c2_1 (a709)) -> (c3_1 (a709)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H10c zenon_Ha zenon_H10d zenon_H10e zenon_H10f. % 0.79/0.99 generalize (zenon_H10c (a709)). zenon_intro zenon_H110. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H110); [ zenon_intro zenon_H9 | zenon_intro zenon_H111 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ]. % 0.79/0.99 exact (zenon_H113 zenon_H10d). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 0.79/0.99 exact (zenon_H115 zenon_H10e). % 0.79/0.99 exact (zenon_H114 zenon_H10f). % 0.79/0.99 (* end of lemma zenon_L75_ *) % 0.79/0.99 assert (zenon_L76_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (c1_1 (a709)) -> (c2_1 (a709)) -> (c3_1 (a709)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H116 zenon_Hea zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_H10d zenon_H10e zenon_H10f. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.79/0.99 apply (zenon_L73_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.79/0.99 apply (zenon_L30_); trivial. % 0.79/0.99 apply (zenon_L75_); trivial. % 0.79/0.99 (* end of lemma zenon_L76_ *) % 0.79/0.99 assert (zenon_L77_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_Hdf zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_H3 zenon_H103 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hf6 zenon_H116 zenon_H6d zenon_H6c zenon_H6b. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/0.99 apply (zenon_L61_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/0.99 apply (zenon_L74_); trivial. % 0.79/0.99 apply (zenon_L76_); trivial. % 0.79/0.99 (* end of lemma zenon_L77_ *) % 0.79/0.99 assert (zenon_L78_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H74 zenon_H11b zenon_Hf5 zenon_H116 zenon_Hdf zenon_H3 zenon_H103 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/0.99 apply (zenon_L69_); trivial. % 0.79/0.99 apply (zenon_L77_); trivial. % 0.79/0.99 (* end of lemma zenon_L78_ *) % 0.79/0.99 assert (zenon_L79_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H3 zenon_H103 zenon_H101 zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hdf zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H5 zenon_H1b zenon_H4c zenon_H4d zenon_H4e zenon_He1 zenon_H1d zenon_H2e zenon_H32. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/0.99 apply (zenon_L66_); trivial. % 0.79/0.99 apply (zenon_L78_); trivial. % 0.79/0.99 (* end of lemma zenon_L79_ *) % 0.79/0.99 assert (zenon_L80_ : ((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H11f zenon_H32 zenon_H2e zenon_H1b zenon_H5 zenon_H1d zenon_H1f zenon_H21. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.79/0.99 apply (zenon_L14_); trivial. % 0.79/0.99 (* end of lemma zenon_L80_ *) % 0.79/0.99 assert (zenon_L81_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H123 zenon_H1f zenon_H21 zenon_H9a zenon_H95 zenon_H1d zenon_H5 zenon_H2e zenon_Ha9 zenon_H4e zenon_H4c zenon_H4d zenon_Ha zenon_Hab zenon_H32 zenon_He1 zenon_H1b zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdd zenon_Hdf zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_H101 zenon_H103 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/0.99 apply (zenon_L50_); trivial. % 0.79/0.99 apply (zenon_L79_); trivial. % 0.79/0.99 apply (zenon_L80_); trivial. % 0.79/0.99 (* end of lemma zenon_L81_ *) % 0.79/0.99 assert (zenon_L82_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp1)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H5a zenon_H9d zenon_H7a zenon_H7e zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H103 zenon_H101 zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hdf zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H1b zenon_He1 zenon_H32 zenon_Hab zenon_Ha9 zenon_H2e zenon_H1d zenon_H95 zenon_H9a zenon_H21 zenon_H123 zenon_H37 zenon_H5 zenon_H43 zenon_H46 zenon_H4a. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/0.99 apply (zenon_L21_); trivial. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/0.99 apply (zenon_L81_); trivial. % 0.79/0.99 apply (zenon_L40_); trivial. % 0.79/0.99 (* end of lemma zenon_L82_ *) % 0.79/0.99 assert (zenon_L83_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp1)\/(hskp21))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H125 zenon_H5a zenon_H9d zenon_H9a zenon_H95 zenon_H7a zenon_H7e zenon_H1d zenon_H21 zenon_H5f zenon_H5d zenon_H75 zenon_H79. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.79/0.99 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.79/0.99 apply (zenon_L42_); trivial. % 0.79/0.99 (* end of lemma zenon_L83_ *) % 0.79/0.99 assert (zenon_L84_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((hskp6)\/((hskp1)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H128 zenon_H5f zenon_H5d zenon_H75 zenon_H4a zenon_H46 zenon_H43 zenon_H37 zenon_H123 zenon_H21 zenon_H9a zenon_H95 zenon_H1d zenon_H2e zenon_Ha9 zenon_Hab zenon_H32 zenon_He1 zenon_H1b zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdd zenon_Hdf zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_H101 zenon_H103 zenon_H116 zenon_H11b zenon_H79 zenon_H124 zenon_H7e zenon_H7a zenon_H9d zenon_H5a. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.79/0.99 apply (zenon_L82_); trivial. % 0.79/0.99 apply (zenon_L83_); trivial. % 0.79/0.99 (* end of lemma zenon_L84_ *) % 0.79/0.99 assert (zenon_L85_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp17)) -> (~(hskp14)) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> False). % 0.79/0.99 do 0 intro. intros zenon_H9a zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_Ha9 zenon_Ha7 zenon_H3 zenon_H4e zenon_H4c zenon_H4d zenon_Ha zenon_Hab. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.79/0.99 apply (zenon_L46_); trivial. % 0.79/0.99 apply (zenon_L39_); trivial. % 0.79/0.99 (* end of lemma zenon_L85_ *) % 0.79/0.99 assert (zenon_L86_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (c2_1 (a721)) -> (c3_1 (a721)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H6a zenon_Ha zenon_H4d zenon_Ha2 zenon_H4e. % 0.79/0.99 generalize (zenon_H6a (a721)). zenon_intro zenon_H129. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H129); [ zenon_intro zenon_H9 | zenon_intro zenon_H12a ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha5 ]. % 0.79/0.99 exact (zenon_H4d zenon_H54). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H53 ]. % 0.79/0.99 exact (zenon_Ha6 zenon_Ha2). % 0.79/0.99 exact (zenon_H53 zenon_H4e). % 0.79/0.99 (* end of lemma zenon_L86_ *) % 0.79/0.99 assert (zenon_L87_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a721))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H12b zenon_Ha zenon_H4c zenon_H6a zenon_H4d zenon_H4e. % 0.79/0.99 generalize (zenon_H12b (a721)). zenon_intro zenon_H12c. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H12c); [ zenon_intro zenon_H9 | zenon_intro zenon_H12d ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H52 | zenon_intro zenon_Ha1 ]. % 0.79/0.99 exact (zenon_H4c zenon_H52). % 0.79/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H53 ]. % 0.79/0.99 apply (zenon_L86_); trivial. % 0.79/0.99 exact (zenon_H53 zenon_H4e). % 0.79/0.99 (* end of lemma zenon_L87_ *) % 0.79/0.99 assert (zenon_L88_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp22)) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(hskp30)) -> (~(hskp7)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H12e zenon_H33 zenon_Ha zenon_H4c zenon_H4d zenon_H4e zenon_H12f zenon_Hdb zenon_H1. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12b | zenon_intro zenon_H130 ]. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6a | zenon_intro zenon_H131 ]. % 0.79/0.99 apply (zenon_L87_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hdc | zenon_intro zenon_H34 ]. % 0.79/0.99 exact (zenon_Hdb zenon_Hdc). % 0.79/0.99 exact (zenon_H33 zenon_H34). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hdc | zenon_intro zenon_H2 ]. % 0.79/0.99 exact (zenon_Hdb zenon_Hdc). % 0.79/0.99 exact (zenon_H1 zenon_H2). % 0.79/0.99 (* end of lemma zenon_L88_ *) % 0.79/0.99 assert (zenon_L89_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H132 zenon_Hbf zenon_Hb6 zenon_H80 zenon_Hb5 zenon_Ha zenon_Hff. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_He3 | zenon_intro zenon_H133 ]. % 0.79/0.99 apply (zenon_L61_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_He7 | zenon_intro zenon_H100 ]. % 0.79/0.99 apply (zenon_L62_); trivial. % 0.79/0.99 exact (zenon_Hff zenon_H100). % 0.79/0.99 (* end of lemma zenon_L89_ *) % 0.79/0.99 assert (zenon_L90_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp29)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.79/0.99 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hff zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132. % 0.79/0.99 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.79/0.99 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.79/0.99 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/0.99 apply (zenon_L61_); trivial. % 0.79/0.99 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/0.99 apply (zenon_L89_); trivial. % 0.79/0.99 apply (zenon_L64_); trivial. % 0.79/0.99 (* end of lemma zenon_L90_ *) % 0.79/0.99 assert (zenon_L91_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.79/0.99 do 0 intro. intros zenon_H23 zenon_Ha zenon_Hea zenon_H10e zenon_H10f zenon_H10d. % 0.79/0.99 generalize (zenon_H23 (a709)). zenon_intro zenon_H134. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H9 | zenon_intro zenon_H135 ]. % 0.79/0.99 exact (zenon_H9 zenon_Ha). % 0.79/0.99 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ]. % 0.79/0.99 generalize (zenon_Hea (a709)). zenon_intro zenon_H138. % 0.79/0.99 apply (zenon_imply_s _ _ zenon_H138); [ zenon_intro zenon_H9 | zenon_intro zenon_H139 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13a | zenon_intro zenon_H112 ]. % 0.79/1.00 exact (zenon_H13a zenon_H137). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 0.79/1.00 exact (zenon_H115 zenon_H10e). % 0.79/1.00 exact (zenon_H114 zenon_H10f). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 0.79/1.00 exact (zenon_H113 zenon_H10d). % 0.79/1.00 exact (zenon_H114 zenon_H10f). % 0.79/1.00 (* end of lemma zenon_L91_ *) % 0.79/1.00 assert (zenon_L92_ : (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H13b zenon_Ha zenon_H8a zenon_H10e zenon_H10f zenon_H10d. % 0.79/1.00 generalize (zenon_H13b (a709)). zenon_intro zenon_H13c. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H9 | zenon_intro zenon_H13d ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13a | zenon_intro zenon_H136 ]. % 0.79/1.00 generalize (zenon_H8a (a709)). zenon_intro zenon_H13e. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H9 | zenon_intro zenon_H13f ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H137 | zenon_intro zenon_H112 ]. % 0.79/1.00 exact (zenon_H13a zenon_H137). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 0.79/1.00 exact (zenon_H115 zenon_H10e). % 0.79/1.00 exact (zenon_H114 zenon_H10f). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 0.79/1.00 exact (zenon_H113 zenon_H10d). % 0.79/1.00 exact (zenon_H114 zenon_H10f). % 0.79/1.00 (* end of lemma zenon_L92_ *) % 0.79/1.00 assert (zenon_L93_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> (c2_1 (a709)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H140 zenon_Hea zenon_H10d zenon_H10f zenon_H10e zenon_H8a zenon_Ha zenon_H19. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H23 | zenon_intro zenon_H141 ]. % 0.79/1.00 apply (zenon_L91_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13b | zenon_intro zenon_H1a ]. % 0.79/1.00 apply (zenon_L92_); trivial. % 0.79/1.00 exact (zenon_H19 zenon_H1a). % 0.79/1.00 (* end of lemma zenon_L93_ *) % 0.79/1.00 assert (zenon_L94_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H4e zenon_H4d zenon_H4c zenon_H13b zenon_Ha zenon_H10e zenon_H10f zenon_H10d. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/1.00 apply (zenon_L22_); trivial. % 0.79/1.00 apply (zenon_L92_); trivial. % 0.79/1.00 (* end of lemma zenon_L94_ *) % 0.79/1.00 assert (zenon_L95_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp19)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H19 zenon_Hea zenon_H140 zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H4e zenon_H4d zenon_H4c zenon_Ha zenon_H10e zenon_H10f zenon_H10d. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.00 apply (zenon_L93_); trivial. % 0.79/1.00 apply (zenon_L94_); trivial. % 0.79/1.00 (* end of lemma zenon_L95_ *) % 0.79/1.00 assert (zenon_L96_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H19 zenon_H140 zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H4e zenon_H4d zenon_H4c. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_L95_); trivial. % 0.79/1.00 (* end of lemma zenon_L96_ *) % 0.79/1.00 assert (zenon_L97_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11b zenon_H140 zenon_H19 zenon_H95 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_H12e zenon_H1 zenon_Ha zenon_H4c zenon_H4d zenon_H4e zenon_H33 zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_L88_); trivial. % 0.79/1.00 apply (zenon_L90_); trivial. % 0.79/1.00 apply (zenon_L96_); trivial. % 0.79/1.00 (* end of lemma zenon_L97_ *) % 0.79/1.00 assert (zenon_L98_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a721))) -> (ndr1_0) -> False). % 0.79/1.00 do 0 intro. intros zenon_H144 zenon_H3c zenon_H3b zenon_H3a zenon_H4e zenon_H4c zenon_H8a zenon_H4d zenon_Ha. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.79/1.00 apply (zenon_L43_); trivial. % 0.79/1.00 apply (zenon_L18_); trivial. % 0.79/1.00 (* end of lemma zenon_L98_ *) % 0.79/1.00 assert (zenon_L99_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H45 zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H144 zenon_H4e zenon_H4c zenon_H4d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/1.00 apply (zenon_L22_); trivial. % 0.79/1.00 apply (zenon_L98_); trivial. % 0.79/1.00 (* end of lemma zenon_L99_ *) % 0.79/1.00 assert (zenon_L100_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H4a zenon_H144 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H12f zenon_H4e zenon_H4d zenon_H4c zenon_Ha zenon_H1 zenon_H12e zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_H95 zenon_H19 zenon_H140 zenon_H11b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.00 apply (zenon_L97_); trivial. % 0.79/1.00 apply (zenon_L99_); trivial. % 0.79/1.00 (* end of lemma zenon_L100_ *) % 0.79/1.00 assert (zenon_L101_ : (~(hskp10)) -> (hskp10) -> False). % 0.79/1.00 do 0 intro. intros zenon_H145 zenon_H146. % 0.79/1.00 exact (zenon_H145 zenon_H146). % 0.79/1.00 (* end of lemma zenon_L101_ *) % 0.79/1.00 assert (zenon_L102_ : ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp29)) -> (~(hskp18)) -> (~(hskp10)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H147 zenon_Hff zenon_H5b zenon_H145. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H100 | zenon_intro zenon_H148 ]. % 0.79/1.00 exact (zenon_Hff zenon_H100). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H5c | zenon_intro zenon_H146 ]. % 0.79/1.00 exact (zenon_H5b zenon_H5c). % 0.79/1.00 exact (zenon_H145 zenon_H146). % 0.79/1.00 (* end of lemma zenon_L102_ *) % 0.79/1.00 assert (zenon_L103_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a725))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c2_1 (a725)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H149 zenon_Ha zenon_H82 zenon_H6a zenon_H83. % 0.79/1.00 generalize (zenon_H149 (a725)). zenon_intro zenon_H14a. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_H9 | zenon_intro zenon_H14b ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H89 | zenon_intro zenon_H14c ]. % 0.79/1.00 exact (zenon_H82 zenon_H89). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14d | zenon_intro zenon_H88 ]. % 0.79/1.00 generalize (zenon_H6a (a725)). zenon_intro zenon_H14e. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_H9 | zenon_intro zenon_H14f ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H89 | zenon_intro zenon_H150 ]. % 0.79/1.00 exact (zenon_H82 zenon_H89). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H88 | zenon_intro zenon_H151 ]. % 0.79/1.00 exact (zenon_H88 zenon_H83). % 0.79/1.00 exact (zenon_H151 zenon_H14d). % 0.79/1.00 exact (zenon_H88 zenon_H83). % 0.79/1.00 (* end of lemma zenon_L103_ *) % 0.79/1.00 assert (zenon_L104_ : (~(hskp24)) -> (hskp24) -> False). % 0.79/1.00 do 0 intro. intros zenon_H152 zenon_H153. % 0.79/1.00 exact (zenon_H152 zenon_H153). % 0.79/1.00 (* end of lemma zenon_L104_ *) % 0.79/1.00 assert (zenon_L105_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a725))) -> (~(hskp18)) -> (~(hskp24)) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H118 zenon_H116 zenon_H81 zenon_H5b zenon_H152 zenon_H82 zenon_H83 zenon_H154. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H149 | zenon_intro zenon_H155 ]. % 0.79/1.00 apply (zenon_L103_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H153 | zenon_intro zenon_H5c ]. % 0.79/1.00 exact (zenon_H152 zenon_H153). % 0.79/1.00 exact (zenon_H5b zenon_H5c). % 0.79/1.00 apply (zenon_L75_); trivial. % 0.79/1.00 (* end of lemma zenon_L105_ *) % 0.79/1.00 assert (zenon_L106_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp24)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp18)) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11b zenon_H116 zenon_H152 zenon_H154 zenon_H83 zenon_H82 zenon_H81 zenon_H5b zenon_H145 zenon_H147. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.00 apply (zenon_L102_); trivial. % 0.79/1.00 apply (zenon_L105_); trivial. % 0.79/1.00 (* end of lemma zenon_L106_ *) % 0.79/1.00 assert (zenon_L107_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a741))) -> (c2_1 (a741)) -> (c3_1 (a741)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H8a zenon_Ha zenon_H24 zenon_H156 zenon_H26. % 0.79/1.00 generalize (zenon_H8a (a741)). zenon_intro zenon_H157. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_H9 | zenon_intro zenon_H158 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H2a | zenon_intro zenon_H159 ]. % 0.79/1.00 exact (zenon_H24 zenon_H2a). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H15a | zenon_intro zenon_H2b ]. % 0.79/1.00 exact (zenon_H15a zenon_H156). % 0.79/1.00 exact (zenon_H2b zenon_H26). % 0.79/1.00 (* end of lemma zenon_L107_ *) % 0.79/1.00 assert (zenon_L108_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a741))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a741)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H12b zenon_Ha zenon_H24 zenon_H8a zenon_H26. % 0.79/1.00 generalize (zenon_H12b (a741)). zenon_intro zenon_H15b. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H9 | zenon_intro zenon_H15c ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H2a | zenon_intro zenon_H15d ]. % 0.79/1.00 exact (zenon_H24 zenon_H2a). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H156 | zenon_intro zenon_H2b ]. % 0.79/1.00 apply (zenon_L107_); trivial. % 0.79/1.00 exact (zenon_H2b zenon_H26). % 0.79/1.00 (* end of lemma zenon_L108_ *) % 0.79/1.00 assert (zenon_L109_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (c3_1 (a741)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a741))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp7)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H12e zenon_H26 zenon_H8a zenon_H24 zenon_Ha zenon_Hdb zenon_H1. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12b | zenon_intro zenon_H130 ]. % 0.79/1.00 apply (zenon_L108_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hdc | zenon_intro zenon_H2 ]. % 0.79/1.00 exact (zenon_Hdb zenon_Hdc). % 0.79/1.00 exact (zenon_H1 zenon_H2). % 0.79/1.00 (* end of lemma zenon_L109_ *) % 0.79/1.00 assert (zenon_L110_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a762))) -> (c3_1 (a762)) -> (c0_1 (a762)) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hdd zenon_H15e zenon_H15f zenon_H160 zenon_H13b zenon_Ha zenon_Hdb zenon_H5b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.79/1.00 generalize (zenon_Hd3 (a762)). zenon_intro zenon_H161. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H161); [ zenon_intro zenon_H9 | zenon_intro zenon_H162 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ]. % 0.79/1.00 generalize (zenon_H13b (a762)). zenon_intro zenon_H165. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H165); [ zenon_intro zenon_H9 | zenon_intro zenon_H166 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.79/1.00 exact (zenon_H168 zenon_H160). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16a | zenon_intro zenon_H169 ]. % 0.79/1.00 exact (zenon_H16a zenon_H164). % 0.79/1.00 exact (zenon_H169 zenon_H15f). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H16b | zenon_intro zenon_H168 ]. % 0.79/1.00 exact (zenon_H15e zenon_H16b). % 0.79/1.00 exact (zenon_H168 zenon_H160). % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hdc | zenon_intro zenon_H5c ]. % 0.79/1.00 exact (zenon_Hdb zenon_Hdc). % 0.79/1.00 exact (zenon_H5b zenon_H5c). % 0.79/1.00 (* end of lemma zenon_L110_ *) % 0.79/1.00 assert (zenon_L111_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H83 zenon_H82 zenon_H81. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_L64_); trivial. % 0.79/1.00 (* end of lemma zenon_L111_ *) % 0.79/1.00 assert (zenon_L112_ : ((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H16c zenon_Hfb zenon_Hf5 zenon_H83 zenon_H82 zenon_H81 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H12e zenon_H1 zenon_H26 zenon_H24 zenon_Hdd zenon_H5b zenon_H142. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H160. zenon_intro zenon_H16e. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15f. zenon_intro zenon_H15e. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.00 apply (zenon_L109_); trivial. % 0.79/1.00 apply (zenon_L110_); trivial. % 0.79/1.00 apply (zenon_L111_); trivial. % 0.79/1.00 (* end of lemma zenon_L112_ *) % 0.79/1.00 assert (zenon_L113_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(hskp18)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H2d zenon_H16f zenon_Hfb zenon_Hf5 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H12e zenon_H1 zenon_Hdd zenon_H142 zenon_H147 zenon_H145 zenon_H5b zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.00 apply (zenon_L106_); trivial. % 0.79/1.00 apply (zenon_L112_); trivial. % 0.79/1.00 (* end of lemma zenon_L113_ *) % 0.79/1.00 assert (zenon_L114_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H32 zenon_H16f zenon_Hdd zenon_H147 zenon_H145 zenon_H5b zenon_H154 zenon_H116 zenon_H11b zenon_H140 zenon_H95 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_H12e zenon_H1 zenon_Ha zenon_H4c zenon_H4d zenon_H4e zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb zenon_H144 zenon_H4a. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.00 apply (zenon_L100_); trivial. % 0.79/1.00 apply (zenon_L113_); trivial. % 0.79/1.00 (* end of lemma zenon_L114_ *) % 0.79/1.00 assert (zenon_L115_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp22)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H12f zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_Hdb zenon_H33. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6a | zenon_intro zenon_H131 ]. % 0.79/1.00 apply (zenon_L30_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hdc | zenon_intro zenon_H34 ]. % 0.79/1.00 exact (zenon_Hdb zenon_Hdc). % 0.79/1.00 exact (zenon_H33 zenon_H34). % 0.79/1.00 (* end of lemma zenon_L115_ *) % 0.79/1.00 assert (zenon_L116_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp29)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_Hff zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_L115_); trivial. % 0.79/1.00 apply (zenon_L90_); trivial. % 0.79/1.00 (* end of lemma zenon_L116_ *) % 0.79/1.00 assert (zenon_L117_ : (~(hskp28)) -> (hskp28) -> False). % 0.79/1.00 do 0 intro. intros zenon_H170 zenon_H171. % 0.79/1.00 exact (zenon_H170 zenon_H171). % 0.79/1.00 (* end of lemma zenon_L117_ *) % 0.79/1.00 assert (zenon_L118_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(hskp28)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H172 zenon_H26 zenon_H25 zenon_H24 zenon_H6b zenon_H6d zenon_H6c zenon_Ha zenon_H80 zenon_H170. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H23 | zenon_intro zenon_H173 ]. % 0.79/1.00 apply (zenon_L12_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hea | zenon_intro zenon_H171 ]. % 0.79/1.00 apply (zenon_L73_); trivial. % 0.79/1.00 exact (zenon_H170 zenon_H171). % 0.79/1.00 (* end of lemma zenon_L118_ *) % 0.79/1.00 assert (zenon_L119_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp28)) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H170 zenon_H24 zenon_H25 zenon_H26 zenon_H172 zenon_H116 zenon_H6d zenon_H6c zenon_H6b. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.00 apply (zenon_L118_); trivial. % 0.79/1.00 apply (zenon_L76_); trivial. % 0.79/1.00 (* end of lemma zenon_L119_ *) % 0.79/1.00 assert (zenon_L120_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H174 zenon_Ha zenon_H175 zenon_H176 zenon_H177. % 0.79/1.00 generalize (zenon_H174 (a705)). zenon_intro zenon_H178. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H178); [ zenon_intro zenon_H9 | zenon_intro zenon_H179 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17b | zenon_intro zenon_H17a ]. % 0.79/1.00 exact (zenon_H17b zenon_H175). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17d | zenon_intro zenon_H17c ]. % 0.79/1.00 exact (zenon_H17d zenon_H176). % 0.79/1.00 exact (zenon_H17c zenon_H177). % 0.79/1.00 (* end of lemma zenon_L120_ *) % 0.79/1.00 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H17e zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_H6d zenon_H6c zenon_H6b. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd | zenon_intro zenon_H182 ]. % 0.79/1.00 apply (zenon_L29_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H6a | zenon_intro zenon_H174 ]. % 0.79/1.00 apply (zenon_L30_); trivial. % 0.79/1.00 apply (zenon_L120_); trivial. % 0.79/1.00 (* end of lemma zenon_L121_ *) % 0.79/1.00 assert (zenon_L122_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H183 zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f zenon_H172 zenon_H26 zenon_H25 zenon_H24 zenon_H116 zenon_H11b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.00 apply (zenon_L116_); trivial. % 0.79/1.00 apply (zenon_L119_); trivial. % 0.79/1.00 apply (zenon_L121_); trivial. % 0.79/1.00 (* end of lemma zenon_L122_ *) % 0.79/1.00 assert (zenon_L123_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H2d zenon_H4a zenon_H95 zenon_H144 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H11b zenon_H116 zenon_H172 zenon_H12f zenon_H6d zenon_H6c zenon_H6b zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb zenon_H61 zenon_H62 zenon_H63 zenon_H17f zenon_H183. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.00 apply (zenon_L122_); trivial. % 0.79/1.00 apply (zenon_L99_); trivial. % 0.79/1.00 (* end of lemma zenon_L123_ *) % 0.79/1.00 assert (zenon_L124_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H74 zenon_H32 zenon_H116 zenon_H172 zenon_H61 zenon_H62 zenon_H63 zenon_H17f zenon_H183 zenon_H11b zenon_H140 zenon_H95 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_H12e zenon_H1 zenon_H4c zenon_H4d zenon_H4e zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb zenon_H144 zenon_H4a. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.00 apply (zenon_L100_); trivial. % 0.79/1.00 apply (zenon_L123_); trivial. % 0.79/1.00 (* end of lemma zenon_L124_ *) % 0.79/1.00 assert (zenon_L125_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11c zenon_H79 zenon_H172 zenon_H61 zenon_H62 zenon_H63 zenon_H17f zenon_H183 zenon_H4a zenon_H144 zenon_Hfb zenon_Hf5 zenon_H132 zenon_H12f zenon_H4e zenon_H4d zenon_H4c zenon_H1 zenon_H12e zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_H95 zenon_H140 zenon_H11b zenon_H116 zenon_H154 zenon_H145 zenon_H147 zenon_Hdd zenon_H16f zenon_H32. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.00 apply (zenon_L114_); trivial. % 0.79/1.00 apply (zenon_L124_); trivial. % 0.79/1.00 (* end of lemma zenon_L125_ *) % 0.79/1.00 assert (zenon_L126_ : (~(hskp16)) -> (hskp16) -> False). % 0.79/1.00 do 0 intro. intros zenon_H184 zenon_H185. % 0.79/1.00 exact (zenon_H184 zenon_H185). % 0.79/1.00 (* end of lemma zenon_L126_ *) % 0.79/1.00 assert (zenon_L127_ : ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (~(c2_1 (a730))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H186 zenon_H122 zenon_He zenon_H23 zenon_Hc zenon_Ha zenon_H184 zenon_Ha7. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hb | zenon_intro zenon_H187 ]. % 0.79/1.00 generalize (zenon_Hb (a730)). zenon_intro zenon_Hf. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.79/1.00 exact (zenon_Hc zenon_H12). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.79/1.00 generalize (zenon_H23 (a730)). zenon_intro zenon_H188. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H188); [ zenon_intro zenon_H9 | zenon_intro zenon_H189 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18 | zenon_intro zenon_H18a ]. % 0.79/1.00 exact (zenon_H14 zenon_H18). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H13 | zenon_intro zenon_H18b ]. % 0.79/1.00 exact (zenon_H13 zenon_He). % 0.79/1.00 exact (zenon_H18b zenon_H122). % 0.79/1.00 exact (zenon_H13 zenon_He). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H185 | zenon_intro zenon_Ha8 ]. % 0.79/1.00 exact (zenon_H184 zenon_H185). % 0.79/1.00 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.00 (* end of lemma zenon_L127_ *) % 0.79/1.00 assert (zenon_L128_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a730))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp18)) -> (~(hskp17)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H18c zenon_H184 zenon_Ha zenon_Hc zenon_He zenon_H122 zenon_H186 zenon_H5b zenon_Ha7. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H23 | zenon_intro zenon_H18d ]. % 0.79/1.00 apply (zenon_L127_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5c | zenon_intro zenon_Ha8 ]. % 0.79/1.00 exact (zenon_H5b zenon_H5c). % 0.79/1.00 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.00 (* end of lemma zenon_L128_ *) % 0.79/1.00 assert (zenon_L129_ : (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c0_1 (a730)) -> (c1_1 (a730)) -> (c3_1 (a730)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H13b zenon_Ha zenon_H18 zenon_He zenon_H122. % 0.79/1.00 generalize (zenon_H13b (a730)). zenon_intro zenon_H18e. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H18e); [ zenon_intro zenon_H9 | zenon_intro zenon_H18f ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H14 | zenon_intro zenon_H18a ]. % 0.79/1.00 exact (zenon_H14 zenon_H18). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H13 | zenon_intro zenon_H18b ]. % 0.79/1.00 exact (zenon_H13 zenon_He). % 0.79/1.00 exact (zenon_H18b zenon_H122). % 0.79/1.00 (* end of lemma zenon_L129_ *) % 0.79/1.00 assert (zenon_L130_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H23 zenon_Ha zenon_H13b zenon_He zenon_H122. % 0.79/1.00 generalize (zenon_H23 (a730)). zenon_intro zenon_H188. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H188); [ zenon_intro zenon_H9 | zenon_intro zenon_H189 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18 | zenon_intro zenon_H18a ]. % 0.79/1.00 apply (zenon_L129_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H13 | zenon_intro zenon_H18b ]. % 0.79/1.00 exact (zenon_H13 zenon_He). % 0.79/1.00 exact (zenon_H18b zenon_H122). % 0.79/1.00 (* end of lemma zenon_L130_ *) % 0.79/1.00 assert (zenon_L131_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a714)) -> (c2_1 (a714)) -> (c0_1 (a714)) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H172 zenon_H122 zenon_He zenon_H13b zenon_Hed zenon_Hec zenon_Heb zenon_Ha zenon_H170. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H23 | zenon_intro zenon_H173 ]. % 0.79/1.00 apply (zenon_L130_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hea | zenon_intro zenon_H171 ]. % 0.79/1.00 apply (zenon_L64_); trivial. % 0.79/1.00 exact (zenon_H170 zenon_H171). % 0.79/1.00 (* end of lemma zenon_L131_ *) % 0.79/1.00 assert (zenon_L132_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (~(hskp17)) -> (~(hskp16)) -> (~(c2_1 (a730))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp28)) -> (c1_1 (a730)) -> (c3_1 (a730)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(hskp19)) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hf4 zenon_H140 zenon_Ha7 zenon_H184 zenon_Hc zenon_H186 zenon_H170 zenon_He zenon_H122 zenon_H172 zenon_H19. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H23 | zenon_intro zenon_H141 ]. % 0.79/1.00 apply (zenon_L127_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13b | zenon_intro zenon_H1a ]. % 0.79/1.00 apply (zenon_L131_); trivial. % 0.79/1.00 exact (zenon_H19 zenon_H1a). % 0.79/1.00 (* end of lemma zenon_L132_ *) % 0.79/1.00 assert (zenon_L133_ : ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (c1_1 (a730)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (~(c2_1 (a730))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H186 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H184 zenon_Ha7. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hb | zenon_intro zenon_H187 ]. % 0.79/1.00 apply (zenon_L6_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H185 | zenon_intro zenon_Ha8 ]. % 0.79/1.00 exact (zenon_H184 zenon_H185). % 0.79/1.00 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.00 (* end of lemma zenon_L133_ *) % 0.79/1.00 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp17)) -> (~(hskp16)) -> (~(c2_1 (a730))) -> (c1_1 (a730)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H17e zenon_H17f zenon_Ha7 zenon_H184 zenon_Hc zenon_He zenon_H186 zenon_H6d zenon_H6c zenon_H6b. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd | zenon_intro zenon_H182 ]. % 0.79/1.00 apply (zenon_L133_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H6a | zenon_intro zenon_H174 ]. % 0.79/1.00 apply (zenon_L30_); trivial. % 0.79/1.00 apply (zenon_L120_); trivial. % 0.79/1.00 (* end of lemma zenon_L134_ *) % 0.79/1.00 assert (zenon_L135_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H183 zenon_H17f zenon_H6d zenon_H6c zenon_H6b zenon_H12e zenon_H1 zenon_Ha zenon_H4c zenon_H4d zenon_H4e zenon_H33 zenon_H12f zenon_H186 zenon_Ha7 zenon_H184 zenon_H122 zenon_He zenon_Hc zenon_H172 zenon_H19 zenon_H140 zenon_Hfb. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_L88_); trivial. % 0.79/1.00 apply (zenon_L132_); trivial. % 0.79/1.00 apply (zenon_L134_); trivial. % 0.79/1.00 (* end of lemma zenon_L135_ *) % 0.79/1.00 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (~(hskp28)) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hf4 zenon_H172 zenon_H26 zenon_H25 zenon_H24 zenon_H170. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H23 | zenon_intro zenon_H173 ]. % 0.79/1.00 apply (zenon_L12_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hea | zenon_intro zenon_H171 ]. % 0.79/1.00 apply (zenon_L64_); trivial. % 0.79/1.00 exact (zenon_H170 zenon_H171). % 0.79/1.00 (* end of lemma zenon_L136_ *) % 0.79/1.00 assert (zenon_L137_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a741))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hd zenon_Ha zenon_H24 zenon_H8a zenon_H26 zenon_H25. % 0.79/1.00 generalize (zenon_Hd (a741)). zenon_intro zenon_H190. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H190); [ zenon_intro zenon_H9 | zenon_intro zenon_H191 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H2a | zenon_intro zenon_H192 ]. % 0.79/1.00 exact (zenon_H24 zenon_H2a). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H156 | zenon_intro zenon_H2c ]. % 0.79/1.00 apply (zenon_L107_); trivial. % 0.79/1.00 exact (zenon_H2c zenon_H25). % 0.79/1.00 (* end of lemma zenon_L137_ *) % 0.79/1.00 assert (zenon_L138_ : (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H193 zenon_Ha zenon_H194 zenon_H195 zenon_H196. % 0.79/1.00 generalize (zenon_H193 (a716)). zenon_intro zenon_H197. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H197); [ zenon_intro zenon_H9 | zenon_intro zenon_H198 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H19a | zenon_intro zenon_H199 ]. % 0.79/1.00 exact (zenon_H194 zenon_H19a). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ]. % 0.79/1.00 exact (zenon_H19c zenon_H195). % 0.79/1.00 exact (zenon_H19b zenon_H196). % 0.79/1.00 (* end of lemma zenon_L138_ *) % 0.79/1.00 assert (zenon_L139_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (ndr1_0) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H19d zenon_H25 zenon_H26 zenon_H24 zenon_Hd zenon_H196 zenon_H195 zenon_H194 zenon_Ha zenon_H175 zenon_H176 zenon_H177. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H8a | zenon_intro zenon_H19e ]. % 0.79/1.00 apply (zenon_L137_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H193 | zenon_intro zenon_H174 ]. % 0.79/1.00 apply (zenon_L138_); trivial. % 0.79/1.00 apply (zenon_L120_); trivial. % 0.79/1.00 (* end of lemma zenon_L139_ *) % 0.79/1.00 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> (~(c0_1 (a741))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H17e zenon_H17f zenon_H194 zenon_H195 zenon_H196 zenon_H24 zenon_H26 zenon_H25 zenon_H19d zenon_H6d zenon_H6c zenon_H6b. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd | zenon_intro zenon_H182 ]. % 0.79/1.00 apply (zenon_L139_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H6a | zenon_intro zenon_H174 ]. % 0.79/1.00 apply (zenon_L30_); trivial. % 0.79/1.00 apply (zenon_L120_); trivial. % 0.79/1.00 (* end of lemma zenon_L140_ *) % 0.79/1.00 assert (zenon_L141_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H2d zenon_H4a zenon_H95 zenon_H144 zenon_H83 zenon_H82 zenon_H81 zenon_Hfb zenon_H172 zenon_H12f zenon_H4e zenon_H4d zenon_H4c zenon_H1 zenon_H12e zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H6b zenon_H6c zenon_H6d zenon_H17f zenon_H183. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_L88_); trivial. % 0.79/1.00 apply (zenon_L136_); trivial. % 0.79/1.00 apply (zenon_L140_); trivial. % 0.79/1.00 apply (zenon_L99_); trivial. % 0.79/1.00 (* end of lemma zenon_L141_ *) % 0.79/1.00 assert (zenon_L142_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(c2_1 (a730))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp7)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H12e zenon_Hc zenon_H122 zenon_He zenon_H13b zenon_Ha zenon_Hdb zenon_H1. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12b | zenon_intro zenon_H130 ]. % 0.79/1.00 generalize (zenon_H12b (a730)). zenon_intro zenon_H19f. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H19f); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a0 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H18 | zenon_intro zenon_H1a1 ]. % 0.79/1.00 apply (zenon_L129_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H12 | zenon_intro zenon_H18b ]. % 0.79/1.00 exact (zenon_Hc zenon_H12). % 0.79/1.00 exact (zenon_H18b zenon_H122). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hdc | zenon_intro zenon_H2 ]. % 0.79/1.00 exact (zenon_Hdb zenon_Hdc). % 0.79/1.00 exact (zenon_H1 zenon_H2). % 0.79/1.00 (* end of lemma zenon_L142_ *) % 0.79/1.00 assert (zenon_L143_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> (~(c2_1 (a730))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H118 zenon_Hfb zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_He zenon_H122 zenon_Hc zenon_H1 zenon_H12e zenon_H19 zenon_H140 zenon_Hf5. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.00 apply (zenon_L93_); trivial. % 0.79/1.00 apply (zenon_L142_); trivial. % 0.79/1.00 apply (zenon_L111_); trivial. % 0.79/1.00 (* end of lemma zenon_L143_ *) % 0.79/1.00 assert (zenon_L144_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a730))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H2d zenon_Hfb zenon_Hf5 zenon_H83 zenon_H82 zenon_H81 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H12e zenon_H1 zenon_Hc zenon_H122 zenon_He zenon_H142. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.00 apply (zenon_L109_); trivial. % 0.79/1.00 apply (zenon_L142_); trivial. % 0.79/1.00 apply (zenon_L111_); trivial. % 0.79/1.00 (* end of lemma zenon_L144_ *) % 0.79/1.00 assert (zenon_L145_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(hskp18)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a730))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H32 zenon_H147 zenon_H145 zenon_H5b zenon_Hf5 zenon_H140 zenon_H12e zenon_H1 zenon_Hc zenon_H122 zenon_He zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Hfb zenon_H11b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.00 apply (zenon_L102_); trivial. % 0.79/1.00 apply (zenon_L143_); trivial. % 0.79/1.00 apply (zenon_L144_); trivial. % 0.79/1.00 (* end of lemma zenon_L145_ *) % 0.79/1.00 assert (zenon_L146_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1a2 zenon_H4e zenon_H4d zenon_H4c zenon_Hbf zenon_Hb6 zenon_H80 zenon_Hb5 zenon_Ha zenon_H194 zenon_H195 zenon_H196. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H4b | zenon_intro zenon_H1a3 ]. % 0.79/1.00 apply (zenon_L22_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_He7 | zenon_intro zenon_H193 ]. % 0.79/1.00 apply (zenon_L62_); trivial. % 0.79/1.00 apply (zenon_L138_); trivial. % 0.79/1.00 (* end of lemma zenon_L146_ *) % 0.79/1.00 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_H196 zenon_H195 zenon_H194 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H4c zenon_H4d zenon_H4e zenon_H1a2. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.79/1.00 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.00 apply (zenon_L61_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.00 apply (zenon_L146_); trivial. % 0.79/1.00 apply (zenon_L64_); trivial. % 0.79/1.00 (* end of lemma zenon_L147_ *) % 0.79/1.00 assert (zenon_L148_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_H4c zenon_H4d zenon_H4e zenon_H194 zenon_H195 zenon_H196 zenon_H1a2 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_L115_); trivial. % 0.79/1.00 apply (zenon_L147_); trivial. % 0.79/1.00 (* end of lemma zenon_L148_ *) % 0.79/1.00 assert (zenon_L149_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H74 zenon_H4a zenon_H95 zenon_H144 zenon_H83 zenon_H82 zenon_H81 zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H1a2 zenon_H196 zenon_H195 zenon_H194 zenon_H4e zenon_H4d zenon_H4c zenon_Hf5 zenon_Hfb. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.00 apply (zenon_L148_); trivial. % 0.79/1.00 apply (zenon_L99_); trivial. % 0.79/1.00 (* end of lemma zenon_L149_ *) % 0.79/1.00 assert (zenon_L150_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> (~(c2_1 (a730))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H95 zenon_H144 zenon_H12f zenon_H1a2 zenon_H196 zenon_H195 zenon_H194 zenon_H4e zenon_H4d zenon_H4c zenon_H11b zenon_Hfb zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_He zenon_H122 zenon_Hc zenon_H1 zenon_H12e zenon_H140 zenon_Hf5 zenon_H145 zenon_H147 zenon_H32. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.00 apply (zenon_L145_); trivial. % 0.79/1.00 apply (zenon_L149_); trivial. % 0.79/1.00 (* end of lemma zenon_L150_ *) % 0.79/1.00 assert (zenon_L151_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1a4 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 0.79/1.00 generalize (zenon_H1a4 (a732)). zenon_intro zenon_H1a8. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1a8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a9 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.79/1.00 exact (zenon_H1a5 zenon_H1ab). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.79/1.00 exact (zenon_H1ad zenon_H1a6). % 0.79/1.00 exact (zenon_H1ac zenon_H1a7). % 0.79/1.00 (* end of lemma zenon_L151_ *) % 0.79/1.00 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp0)) -> (~(hskp5)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H43 zenon_H5d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b2 ]. % 0.79/1.00 apply (zenon_L151_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H44 | zenon_intro zenon_H5e ]. % 0.79/1.00 exact (zenon_H43 zenon_H44). % 0.79/1.00 exact (zenon_H5d zenon_H5e). % 0.79/1.00 (* end of lemma zenon_L152_ *) % 0.79/1.00 assert (zenon_L153_ : ((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11f zenon_H1b3 zenon_H1af zenon_H5d zenon_H43 zenon_H79 zenon_H32 zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H183 zenon_H17f zenon_H12e zenon_H1 zenon_H4c zenon_H4d zenon_H4e zenon_H12f zenon_H172 zenon_H140 zenon_Hfb zenon_H81 zenon_H82 zenon_H83 zenon_H144 zenon_H95 zenon_H4a zenon_H186 zenon_H18c zenon_H147 zenon_H145 zenon_Hf5 zenon_H142 zenon_H11b zenon_H1a2 zenon_H124. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.00 apply (zenon_L128_); trivial. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.00 apply (zenon_L135_); trivial. % 0.79/1.00 apply (zenon_L99_); trivial. % 0.79/1.00 apply (zenon_L141_); trivial. % 0.79/1.00 apply (zenon_L150_); trivial. % 0.79/1.00 apply (zenon_L152_); trivial. % 0.79/1.00 (* end of lemma zenon_L153_ *) % 0.79/1.00 assert (zenon_L154_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H9e zenon_Ha zenon_H1b4 zenon_H1b5 zenon_H1b6. % 0.79/1.00 generalize (zenon_H9e (a720)). zenon_intro zenon_H1b7. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1b7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b8 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1b9 ]. % 0.79/1.00 exact (zenon_H1b4 zenon_H1ba). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1bb ]. % 0.79/1.00 exact (zenon_H1b5 zenon_H1bc). % 0.79/1.00 exact (zenon_H1bb zenon_H1b6). % 0.79/1.00 (* end of lemma zenon_L154_ *) % 0.79/1.00 assert (zenon_L155_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H45 zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.79/1.00 apply (zenon_L154_); trivial. % 0.79/1.00 apply (zenon_L18_); trivial. % 0.79/1.00 (* end of lemma zenon_L155_ *) % 0.79/1.00 assert (zenon_L156_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H12f zenon_H4e zenon_H4d zenon_H4c zenon_Ha zenon_H1 zenon_H12e zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_H95 zenon_H19 zenon_H140 zenon_H11b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.00 apply (zenon_L97_); trivial. % 0.79/1.00 apply (zenon_L155_); trivial. % 0.79/1.00 (* end of lemma zenon_L156_ *) % 0.79/1.00 assert (zenon_L157_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a725))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a725))) -> (c2_1 (a725)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H149 zenon_Ha zenon_H82 zenon_H8a zenon_H81 zenon_H83. % 0.79/1.00 generalize (zenon_H149 (a725)). zenon_intro zenon_H14a. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_H9 | zenon_intro zenon_H14b ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H89 | zenon_intro zenon_H14c ]. % 0.79/1.00 exact (zenon_H82 zenon_H89). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14d | zenon_intro zenon_H88 ]. % 0.79/1.00 generalize (zenon_H8a (a725)). zenon_intro zenon_H1bd. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H1be ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H87 | zenon_intro zenon_H150 ]. % 0.79/1.00 exact (zenon_H81 zenon_H87). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H88 | zenon_intro zenon_H151 ]. % 0.79/1.00 exact (zenon_H88 zenon_H83). % 0.79/1.00 exact (zenon_H151 zenon_H14d). % 0.79/1.00 exact (zenon_H88 zenon_H83). % 0.79/1.00 (* end of lemma zenon_L157_ *) % 0.79/1.00 assert (zenon_L158_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c0_1 (a725))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a725))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp18)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H154 zenon_H83 zenon_H81 zenon_H8a zenon_H82 zenon_Ha zenon_H152 zenon_H5b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H149 | zenon_intro zenon_H155 ]. % 0.79/1.00 apply (zenon_L157_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H153 | zenon_intro zenon_H5c ]. % 0.79/1.00 exact (zenon_H152 zenon_H153). % 0.79/1.00 exact (zenon_H5b zenon_H5c). % 0.79/1.00 (* end of lemma zenon_L158_ *) % 0.79/1.00 assert (zenon_L159_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp18)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H154 zenon_H83 zenon_H81 zenon_H82 zenon_Ha zenon_H152 zenon_H5b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/1.00 apply (zenon_L22_); trivial. % 0.79/1.00 apply (zenon_L158_); trivial. % 0.79/1.00 (* end of lemma zenon_L159_ *) % 0.79/1.00 assert (zenon_L160_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H2d zenon_H16f zenon_Hfb zenon_Hf5 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H12e zenon_H1 zenon_Hdd zenon_H142 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H5b zenon_H95. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.00 apply (zenon_L159_); trivial. % 0.79/1.00 apply (zenon_L112_); trivial. % 0.79/1.00 (* end of lemma zenon_L160_ *) % 0.79/1.00 assert (zenon_L161_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H32 zenon_H16f zenon_Hdd zenon_H154 zenon_H5b zenon_H11b zenon_H140 zenon_H95 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_H12e zenon_H1 zenon_Ha zenon_H4c zenon_H4d zenon_H4e zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H144 zenon_H4a. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.00 apply (zenon_L156_); trivial. % 0.79/1.00 apply (zenon_L160_); trivial. % 0.79/1.00 (* end of lemma zenon_L161_ *) % 0.79/1.00 assert (zenon_L162_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11c zenon_H79 zenon_H116 zenon_H172 zenon_H61 zenon_H62 zenon_H63 zenon_H17f zenon_H183 zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Hfb zenon_Hf5 zenon_H132 zenon_H12f zenon_H4e zenon_H4d zenon_H4c zenon_H1 zenon_H12e zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_H95 zenon_H140 zenon_H11b zenon_H154 zenon_Hdd zenon_H16f zenon_H32. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.00 apply (zenon_L161_); trivial. % 0.79/1.00 apply (zenon_L124_); trivial. % 0.79/1.00 (* end of lemma zenon_L162_ *) % 0.79/1.00 assert (zenon_L163_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> (~(c2_1 (a730))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11c zenon_H32 zenon_Hc zenon_H122 zenon_He zenon_H11b zenon_H140 zenon_H95 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_H12e zenon_H1 zenon_H4c zenon_H4d zenon_H4e zenon_H12f zenon_H132 zenon_Hf5 zenon_Hfb zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H144 zenon_H4a. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.00 apply (zenon_L156_); trivial. % 0.79/1.00 apply (zenon_L144_); trivial. % 0.79/1.00 (* end of lemma zenon_L163_ *) % 0.79/1.00 assert (zenon_L164_ : ((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H11f zenon_H1b3 zenon_H1af zenon_H5d zenon_H43 zenon_H79 zenon_H32 zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H183 zenon_H17f zenon_H12e zenon_H1 zenon_H4c zenon_H4d zenon_H4e zenon_H12f zenon_H172 zenon_H140 zenon_Hfb zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H144 zenon_H4a zenon_H186 zenon_H18c zenon_Hf5 zenon_H132 zenon_H142 zenon_H11b zenon_H124. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.00 apply (zenon_L128_); trivial. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.00 apply (zenon_L135_); trivial. % 0.79/1.00 apply (zenon_L155_); trivial. % 0.79/1.00 apply (zenon_L141_); trivial. % 0.79/1.00 apply (zenon_L163_); trivial. % 0.79/1.00 apply (zenon_L152_); trivial. % 0.79/1.00 (* end of lemma zenon_L164_ *) % 0.79/1.00 assert (zenon_L165_ : (~(hskp13)) -> (hskp13) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1bf zenon_H1c0. % 0.79/1.00 exact (zenon_H1bf zenon_H1c0). % 0.79/1.00 (* end of lemma zenon_L165_ *) % 0.79/1.00 assert (zenon_L166_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> (c2_1 (a725)) -> (~(c0_1 (a725))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a725))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1c1 zenon_H83 zenon_H81 zenon_H8a zenon_H82 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_H1bf. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H149 | zenon_intro zenon_H1c2 ]. % 0.79/1.00 apply (zenon_L157_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1c0 ]. % 0.79/1.00 apply (zenon_L67_); trivial. % 0.79/1.00 exact (zenon_H1bf zenon_H1c0). % 0.79/1.00 (* end of lemma zenon_L166_ *) % 0.79/1.00 assert (zenon_L167_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> (~(c3_1 (a716))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H149 zenon_Ha zenon_H174 zenon_H195 zenon_H196 zenon_H194. % 0.79/1.00 generalize (zenon_H149 (a716)). zenon_intro zenon_H1c3. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c4 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 0.79/1.00 generalize (zenon_H174 (a716)). zenon_intro zenon_H1c7. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1c7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c8 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H19c | zenon_intro zenon_H1c9 ]. % 0.79/1.00 exact (zenon_H19c zenon_H195). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ca | zenon_intro zenon_H19b ]. % 0.79/1.00 exact (zenon_H1ca zenon_H1c6). % 0.79/1.00 exact (zenon_H19b zenon_H196). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H19b ]. % 0.79/1.00 exact (zenon_H194 zenon_H19a). % 0.79/1.00 exact (zenon_H19b zenon_H196). % 0.79/1.00 (* end of lemma zenon_L167_ *) % 0.79/1.00 assert (zenon_L168_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> (~(c3_1 (a716))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1c1 zenon_H194 zenon_H196 zenon_H195 zenon_H174 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_H1bf. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H149 | zenon_intro zenon_H1c2 ]. % 0.79/1.00 apply (zenon_L167_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1c0 ]. % 0.79/1.00 apply (zenon_L67_); trivial. % 0.79/1.00 exact (zenon_H1bf zenon_H1c0). % 0.79/1.00 (* end of lemma zenon_L168_ *) % 0.79/1.00 assert (zenon_L169_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> (~(c3_1 (a716))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H19d zenon_H82 zenon_H81 zenon_H83 zenon_H1c1 zenon_H194 zenon_H196 zenon_H195 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_H1bf. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H8a | zenon_intro zenon_H19e ]. % 0.79/1.00 apply (zenon_L166_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H193 | zenon_intro zenon_H174 ]. % 0.79/1.00 apply (zenon_L138_); trivial. % 0.79/1.00 apply (zenon_L168_); trivial. % 0.79/1.00 (* end of lemma zenon_L169_ *) % 0.79/1.00 assert (zenon_L170_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a727))) -> (~(c2_1 (a727))) -> (c3_1 (a727)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H12b zenon_Ha zenon_H1cb zenon_H1cc zenon_H1cd. % 0.79/1.00 generalize (zenon_H12b (a727)). zenon_intro zenon_H1ce. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cf ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.79/1.00 exact (zenon_H1cb zenon_H1d1). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ]. % 0.79/1.00 exact (zenon_H1cc zenon_H1d3). % 0.79/1.00 exact (zenon_H1d2 zenon_H1cd). % 0.79/1.00 (* end of lemma zenon_L170_ *) % 0.79/1.00 assert (zenon_L171_ : (~(hskp15)) -> (hskp15) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1d4 zenon_H1d5. % 0.79/1.00 exact (zenon_H1d4 zenon_H1d5). % 0.79/1.00 (* end of lemma zenon_L171_ *) % 0.79/1.00 assert (zenon_L172_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a727)) -> (~(c2_1 (a727))) -> (~(c0_1 (a727))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H1d6 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Ha zenon_H3 zenon_H1d4. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H12b | zenon_intro zenon_H1d7 ]. % 0.79/1.00 apply (zenon_L170_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H4 | zenon_intro zenon_H1d5 ]. % 0.79/1.00 exact (zenon_H3 zenon_H4). % 0.79/1.00 exact (zenon_H1d4 zenon_H1d5). % 0.79/1.00 (* end of lemma zenon_L172_ *) % 0.79/1.00 assert (zenon_L173_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93)))))) -> (~(c2_1 (a762))) -> (c0_1 (a762)) -> (c3_1 (a762)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H9e zenon_Ha zenon_Hb zenon_H15e zenon_H160 zenon_H15f. % 0.79/1.00 generalize (zenon_H9e (a762)). zenon_intro zenon_H1d8. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d9 ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H164 | zenon_intro zenon_H1da ]. % 0.79/1.00 generalize (zenon_Hb (a762)). zenon_intro zenon_H1db. % 0.79/1.00 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_H9 | zenon_intro zenon_H1dc ]. % 0.79/1.00 exact (zenon_H9 zenon_Ha). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H16b | zenon_intro zenon_H1dd ]. % 0.79/1.00 exact (zenon_H15e zenon_H16b). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H168 | zenon_intro zenon_H16a ]. % 0.79/1.00 exact (zenon_H168 zenon_H160). % 0.79/1.00 exact (zenon_H16a zenon_H164). % 0.79/1.00 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H16b | zenon_intro zenon_H169 ]. % 0.79/1.00 exact (zenon_H15e zenon_H16b). % 0.79/1.00 exact (zenon_H169 zenon_H15f). % 0.79/1.00 (* end of lemma zenon_L173_ *) % 0.79/1.00 assert (zenon_L174_ : ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a762)) -> (c0_1 (a762)) -> (~(c2_1 (a762))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H186 zenon_H15f zenon_H160 zenon_H15e zenon_Ha zenon_H9e zenon_H184 zenon_Ha7. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hb | zenon_intro zenon_H187 ]. % 0.79/1.00 apply (zenon_L173_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H185 | zenon_intro zenon_Ha8 ]. % 0.79/1.00 exact (zenon_H184 zenon_H185). % 0.79/1.00 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.00 (* end of lemma zenon_L174_ *) % 0.79/1.00 assert (zenon_L175_ : ((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp16)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp14)) -> (~(hskp17)) -> False). % 0.79/1.00 do 0 intro. intros zenon_H16c zenon_Ha9 zenon_H184 zenon_H186 zenon_H3 zenon_Ha7. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H160. zenon_intro zenon_H16e. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15f. zenon_intro zenon_H15e. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9e | zenon_intro zenon_Haa ]. % 0.79/1.00 apply (zenon_L174_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H4 | zenon_intro zenon_Ha8 ]. % 0.79/1.00 exact (zenon_H3 zenon_H4). % 0.79/1.00 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.00 (* end of lemma zenon_L175_ *) % 0.79/1.00 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H118 zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H6d zenon_H6c zenon_H6b. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.79/1.00 apply (zenon_L30_); trivial. % 0.79/1.00 apply (zenon_L75_); trivial. % 0.79/1.00 (* end of lemma zenon_L176_ *) % 0.79/1.00 assert (zenon_L177_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H74 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.00 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.00 apply (zenon_L69_); trivial. % 0.79/1.00 apply (zenon_L176_); trivial. % 0.79/1.00 (* end of lemma zenon_L177_ *) % 0.79/1.00 assert (zenon_L178_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (ndr1_0) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_H79 zenon_H11b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H154 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_Ha zenon_H186 zenon_Ha7 zenon_H184 zenon_H3 zenon_Ha9 zenon_H16f. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.00 apply (zenon_L159_); trivial. % 0.79/1.00 apply (zenon_L175_); trivial. % 0.79/1.00 apply (zenon_L177_); trivial. % 0.79/1.00 (* end of lemma zenon_L178_ *) % 0.79/1.00 assert (zenon_L179_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.79/1.00 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_Hdd zenon_H5b zenon_Hc5 zenon_Hce zenon_Hc4 zenon_He1. % 0.79/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.79/1.00 apply (zenon_L37_); trivial. % 0.79/1.00 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.79/1.00 apply (zenon_L22_); trivial. % 0.79/1.00 apply (zenon_L58_); trivial. % 0.79/1.00 apply (zenon_L111_); trivial. % 0.79/1.00 (* end of lemma zenon_L179_ *) % 0.79/1.00 assert (zenon_L180_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1de zenon_Ha zenon_H1df zenon_H1e0 zenon_H1e1. % 0.79/1.01 generalize (zenon_H1de (a731)). zenon_intro zenon_H1e2. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e3 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e4 ]. % 0.79/1.01 exact (zenon_H1df zenon_H1e5). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ]. % 0.79/1.01 exact (zenon_H1e0 zenon_H1e7). % 0.79/1.01 exact (zenon_H1e6 zenon_H1e1). % 0.79/1.01 (* end of lemma zenon_L180_ *) % 0.79/1.01 assert (zenon_L181_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1e8 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_Hff. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e9 ]. % 0.79/1.01 apply (zenon_L180_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H6a | zenon_intro zenon_H100 ]. % 0.79/1.01 apply (zenon_L30_); trivial. % 0.79/1.01 exact (zenon_Hff zenon_H100). % 0.79/1.01 (* end of lemma zenon_L181_ *) % 0.79/1.01 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H74 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L181_); trivial. % 0.79/1.01 apply (zenon_L176_); trivial. % 0.79/1.01 (* end of lemma zenon_L182_ *) % 0.79/1.01 assert (zenon_L183_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_He1 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_Hf5 zenon_Hfb. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L179_); trivial. % 0.79/1.01 apply (zenon_L182_); trivial. % 0.79/1.01 (* end of lemma zenon_L183_ *) % 0.79/1.01 assert (zenon_L184_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H124 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_He1 zenon_Hdd zenon_Hf5 zenon_Hfb zenon_H16f zenon_Ha9 zenon_H3 zenon_H184 zenon_H186 zenon_Ha zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H95 zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H116 zenon_H11b zenon_H79. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L178_); trivial. % 0.79/1.01 apply (zenon_L183_); trivial. % 0.79/1.01 (* end of lemma zenon_L184_ *) % 0.79/1.01 assert (zenon_L185_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> (ndr1_0) -> (~(c0_1 (a727))) -> (~(c2_1 (a727))) -> (c3_1 (a727)) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp14)\/(hskp15))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1ea zenon_H1b3 zenon_H1af zenon_H5d zenon_H43 zenon_H79 zenon_H11b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H154 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H186 zenon_Ha9 zenon_H16f zenon_Hfb zenon_Hf5 zenon_Hdd zenon_He1 zenon_H1e8 zenon_H124 zenon_Ha zenon_H1cb zenon_H1cc zenon_H1cd zenon_H3 zenon_H1d6. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.79/1.01 apply (zenon_L172_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_L184_); trivial. % 0.79/1.01 apply (zenon_L152_); trivial. % 0.79/1.01 (* end of lemma zenon_L185_ *) % 0.79/1.01 assert (zenon_L186_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> (ndr1_0) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H186 zenon_Ha7 zenon_H184 zenon_H122 zenon_He zenon_Hc zenon_Ha zenon_H18c. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L128_); trivial. % 0.79/1.01 apply (zenon_L177_); trivial. % 0.79/1.01 (* end of lemma zenon_L186_ *) % 0.79/1.01 assert (zenon_L187_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H101 zenon_He1 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_Hf5 zenon_Hfb. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L179_); trivial. % 0.79/1.01 apply (zenon_L177_); trivial. % 0.79/1.01 (* end of lemma zenon_L187_ *) % 0.79/1.01 assert (zenon_L188_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a730))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> (~(hskp16)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H124 zenon_He1 zenon_Hdd zenon_Hf5 zenon_Hfb zenon_H18c zenon_Ha zenon_Hc zenon_He zenon_H122 zenon_H184 zenon_H186 zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H4e zenon_H4d zenon_H4c zenon_H81 zenon_H82 zenon_H83 zenon_H116 zenon_H11b zenon_H79. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L186_); trivial. % 0.79/1.01 apply (zenon_L187_); trivial. % 0.79/1.01 (* end of lemma zenon_L188_ *) % 0.79/1.01 assert (zenon_L189_ : (~(hskp23)) -> (hskp23) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1ee zenon_H1ef. % 0.79/1.01 exact (zenon_H1ee zenon_H1ef). % 0.79/1.01 (* end of lemma zenon_L189_ *) % 0.79/1.01 assert (zenon_L190_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a721))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1f0 zenon_H4e zenon_H4c zenon_H8a zenon_H4d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H1ee. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1f1 ]. % 0.79/1.01 apply (zenon_L43_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ef ]. % 0.79/1.01 apply (zenon_L151_); trivial. % 0.79/1.01 exact (zenon_H1ee zenon_H1ef). % 0.79/1.01 (* end of lemma zenon_L190_ *) % 0.79/1.01 assert (zenon_L191_ : (forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93)))))) -> (ndr1_0) -> (~(c2_1 (a757))) -> (c0_1 (a757)) -> (c1_1 (a757)) -> False). % 0.79/1.01 do 0 intro. intros zenon_Hb zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4. % 0.79/1.01 generalize (zenon_Hb (a757)). zenon_intro zenon_H1f5. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H1f5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f6 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.79/1.01 exact (zenon_H1f2 zenon_H1f8). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.79/1.01 exact (zenon_H1fa zenon_H1f3). % 0.79/1.01 exact (zenon_H1f9 zenon_H1f4). % 0.79/1.01 (* end of lemma zenon_L191_ *) % 0.79/1.01 assert (zenon_L192_ : ((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757)))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp19)) -> (~(hskp8)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1fb zenon_H1b zenon_H19 zenon_H5. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_Ha. zenon_intro zenon_H1fc. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1f3. zenon_intro zenon_H1fd. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hb | zenon_intro zenon_H1c ]. % 0.79/1.01 apply (zenon_L191_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1a | zenon_intro zenon_H6 ]. % 0.79/1.01 exact (zenon_H19 zenon_H1a). % 0.79/1.01 exact (zenon_H5 zenon_H6). % 0.79/1.01 (* end of lemma zenon_L192_ *) % 0.79/1.01 assert (zenon_L193_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1fe zenon_H1b zenon_H5 zenon_H19 zenon_Ha zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H1f0 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H95. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/1.01 apply (zenon_L22_); trivial. % 0.79/1.01 apply (zenon_L190_); trivial. % 0.79/1.01 apply (zenon_L192_); trivial. % 0.79/1.01 (* end of lemma zenon_L193_ *) % 0.79/1.01 assert (zenon_L194_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (~(hskp18)) -> (~(hskp17)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H2d zenon_H18c zenon_H5b zenon_Ha7. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H23 | zenon_intro zenon_H18d ]. % 0.79/1.01 apply (zenon_L12_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5c | zenon_intro zenon_Ha8 ]. % 0.79/1.01 exact (zenon_H5b zenon_H5c). % 0.79/1.01 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.01 (* end of lemma zenon_L194_ *) % 0.79/1.01 assert (zenon_L195_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H32 zenon_H18c zenon_Ha7 zenon_H5b zenon_H95 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1f0 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_Ha zenon_H5 zenon_H1b zenon_H1fe. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.01 apply (zenon_L193_); trivial. % 0.79/1.01 apply (zenon_L194_); trivial. % 0.79/1.01 (* end of lemma zenon_L195_ *) % 0.79/1.01 assert (zenon_L196_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H23 zenon_Ha zenon_H13b zenon_H10d zenon_H10f. % 0.79/1.01 generalize (zenon_H23 (a709)). zenon_intro zenon_H134. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H9 | zenon_intro zenon_H135 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ]. % 0.79/1.01 generalize (zenon_H13b (a709)). zenon_intro zenon_H13c. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H9 | zenon_intro zenon_H13d ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13a | zenon_intro zenon_H136 ]. % 0.79/1.01 exact (zenon_H13a zenon_H137). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 0.79/1.01 exact (zenon_H113 zenon_H10d). % 0.79/1.01 exact (zenon_H114 zenon_H10f). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ]. % 0.79/1.01 exact (zenon_H113 zenon_H10d). % 0.79/1.01 exact (zenon_H114 zenon_H10f). % 0.79/1.01 (* end of lemma zenon_L196_ *) % 0.79/1.01 assert (zenon_L197_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (c3_1 (a709)) -> (c1_1 (a709)) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H2e zenon_H10f zenon_H10d zenon_H13b zenon_Ha zenon_H1d zenon_H5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H23 | zenon_intro zenon_H31 ]. % 0.79/1.01 apply (zenon_L196_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H1e | zenon_intro zenon_H6 ]. % 0.79/1.01 exact (zenon_H1d zenon_H1e). % 0.79/1.01 exact (zenon_H5 zenon_H6). % 0.79/1.01 (* end of lemma zenon_L197_ *) % 0.79/1.01 assert (zenon_L198_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H118 zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H4d zenon_H4c zenon_H4e zenon_H1f0 zenon_H2e zenon_H1d zenon_H5. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.01 apply (zenon_L190_); trivial. % 0.79/1.01 apply (zenon_L197_); trivial. % 0.79/1.01 (* end of lemma zenon_L198_ *) % 0.79/1.01 assert (zenon_L199_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11c zenon_H32 zenon_H11b zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1f0 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H1b zenon_H1fe. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L69_); trivial. % 0.79/1.01 apply (zenon_L198_); trivial. % 0.79/1.01 apply (zenon_L192_); trivial. % 0.79/1.01 apply (zenon_L13_); trivial. % 0.79/1.01 (* end of lemma zenon_L199_ *) % 0.79/1.01 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H142 zenon_H1d zenon_H2e zenon_H32 zenon_H18c zenon_H95 zenon_H1f0 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H5 zenon_H1b zenon_H1fe zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H116 zenon_H11b zenon_H79. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L195_); trivial. % 0.79/1.01 apply (zenon_L177_); trivial. % 0.79/1.01 apply (zenon_L199_); trivial. % 0.79/1.01 (* end of lemma zenon_L200_ *) % 0.79/1.01 assert (zenon_L201_ : ((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11f zenon_H1b3 zenon_H142 zenon_H1d zenon_H2e zenon_H32 zenon_H95 zenon_H1f0 zenon_H5 zenon_H1b zenon_H1fe zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H186 zenon_H18c zenon_Hfb zenon_Hf5 zenon_Hdd zenon_He1 zenon_H124. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_L188_); trivial. % 0.79/1.01 apply (zenon_L200_); trivial. % 0.79/1.01 (* end of lemma zenon_L201_ *) % 0.79/1.01 assert (zenon_L202_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a727))/\((~(c0_1 (a727)))/\(~(c2_1 (a727))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp14)\/(hskp15))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H57 zenon_H9d zenon_H1ff zenon_H142 zenon_H1f0 zenon_H1fe zenon_H18c zenon_H1d6 zenon_H1e8 zenon_H16f zenon_H186 zenon_H154 zenon_H43 zenon_H5d zenon_H1af zenon_H1b3 zenon_H1ea zenon_H1c1 zenon_H194 zenon_H195 zenon_H196 zenon_H19d zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H103 zenon_H101 zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hdf zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H1b zenon_He1 zenon_H32 zenon_Hab zenon_Ha9 zenon_H2e zenon_H5 zenon_H1d zenon_H95 zenon_H9a zenon_H21 zenon_H123. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L81_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H1bf | zenon_intro zenon_H200 ]. % 0.79/1.01 apply (zenon_L169_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H201. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1cd. zenon_intro zenon_H202. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/1.01 apply (zenon_L185_); trivial. % 0.79/1.01 apply (zenon_L201_); trivial. % 0.79/1.01 (* end of lemma zenon_L202_ *) % 0.79/1.01 assert (zenon_L203_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a732))) -> (c2_1 (a732)) -> (c3_1 (a732)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H6a zenon_Ha zenon_H1a5 zenon_H203 zenon_H1a7. % 0.79/1.01 generalize (zenon_H6a (a732)). zenon_intro zenon_H204. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H204); [ zenon_intro zenon_H9 | zenon_intro zenon_H205 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1ab | zenon_intro zenon_H206 ]. % 0.79/1.01 exact (zenon_H1a5 zenon_H1ab). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H207 | zenon_intro zenon_H1ac ]. % 0.79/1.01 exact (zenon_H207 zenon_H203). % 0.79/1.01 exact (zenon_H1ac zenon_H1a7). % 0.79/1.01 (* end of lemma zenon_L203_ *) % 0.79/1.01 assert (zenon_L204_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a732))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> False). % 0.79/1.01 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H1a5 zenon_H6a zenon_H1a7 zenon_H1a6. % 0.79/1.01 generalize (zenon_Hd3 (a732)). zenon_intro zenon_H208. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H208); [ zenon_intro zenon_H9 | zenon_intro zenon_H209 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ab | zenon_intro zenon_H20a ]. % 0.79/1.01 exact (zenon_H1a5 zenon_H1ab). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H203 | zenon_intro zenon_H1ad ]. % 0.79/1.01 apply (zenon_L203_); trivial. % 0.79/1.01 exact (zenon_H1ad zenon_H1a6). % 0.79/1.01 (* end of lemma zenon_L204_ *) % 0.79/1.01 assert (zenon_L205_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c3_1 (a721)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H9e zenon_Ha zenon_H4d zenon_H6a zenon_H4e. % 0.79/1.01 generalize (zenon_H9e (a721)). zenon_intro zenon_H9f. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H9f); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha0 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H54 | zenon_intro zenon_Ha1 ]. % 0.79/1.01 exact (zenon_H4d zenon_H54). % 0.79/1.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H53 ]. % 0.79/1.01 apply (zenon_L86_); trivial. % 0.79/1.01 exact (zenon_H53 zenon_H4e). % 0.79/1.01 (* end of lemma zenon_L205_ *) % 0.79/1.01 assert (zenon_L206_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c3_1 (a721)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H20b zenon_H63 zenon_H62 zenon_H61 zenon_H1a6 zenon_H1a7 zenon_H1a5 zenon_Ha zenon_H4d zenon_H6a zenon_H4e. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.79/1.01 apply (zenon_L29_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.79/1.01 apply (zenon_L204_); trivial. % 0.79/1.01 apply (zenon_L205_); trivial. % 0.79/1.01 (* end of lemma zenon_L206_ *) % 0.79/1.01 assert (zenon_L207_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H118 zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H4e zenon_H4d zenon_H1a5 zenon_H1a7 zenon_H1a6 zenon_H61 zenon_H62 zenon_H63 zenon_H20b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.79/1.01 apply (zenon_L206_); trivial. % 0.79/1.01 apply (zenon_L75_); trivial. % 0.79/1.01 (* end of lemma zenon_L207_ *) % 0.79/1.01 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1ae zenon_H11b zenon_H116 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H83 zenon_H82 zenon_H81 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L69_); trivial. % 0.79/1.01 apply (zenon_L207_); trivial. % 0.79/1.01 (* end of lemma zenon_L208_ *) % 0.79/1.01 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11f zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H186 zenon_H18c zenon_Hfb zenon_Hf5 zenon_Hdd zenon_He1 zenon_H124. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_L188_); trivial. % 0.79/1.01 apply (zenon_L208_); trivial. % 0.79/1.01 (* end of lemma zenon_L209_ *) % 0.79/1.01 assert (zenon_L210_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a717))/\((~(c2_1 (a717)))/\(~(c3_1 (a717))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp14)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a727))/\((~(c0_1 (a727)))/\(~(c2_1 (a727))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H20d zenon_H20b zenon_H2e zenon_He1 zenon_H1b zenon_Hdf zenon_Hf6 zenon_H101 zenon_H103 zenon_H1c1 zenon_H1ea zenon_H1e8 zenon_H1d6 zenon_H1fe zenon_H1f0 zenon_H1ff zenon_H5a zenon_H55 zenon_H37 zenon_H43 zenon_H46 zenon_H4a zenon_H9d zenon_H123 zenon_H1b3 zenon_H1af zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H186 zenon_H18c zenon_H1a2 zenon_H9a zenon_H95 zenon_Ha9 zenon_Hab zenon_H32 zenon_H16f zenon_Hdd zenon_H147 zenon_H154 zenon_H116 zenon_H11b zenon_H140 zenon_H142 zenon_H12e zenon_H12f zenon_H132 zenon_Hf5 zenon_Hfb zenon_H144 zenon_H183 zenon_H17f zenon_H172 zenon_H124 zenon_H1d zenon_H21 zenon_H5f zenon_H5d zenon_H75 zenon_H79 zenon_H20e zenon_H128. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.79/1.01 apply (zenon_L25_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_L32_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L33_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L85_); trivial. % 0.79/1.01 apply (zenon_L125_); trivial. % 0.79/1.01 apply (zenon_L153_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_L32_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L33_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L85_); trivial. % 0.79/1.01 apply (zenon_L162_); trivial. % 0.79/1.01 apply (zenon_L164_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_L21_); trivial. % 0.79/1.01 apply (zenon_L202_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_L32_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L33_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H1bf | zenon_intro zenon_H200 ]. % 0.79/1.01 apply (zenon_L169_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H201. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1cd. zenon_intro zenon_H202. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/1.01 apply (zenon_L185_); trivial. % 0.79/1.01 apply (zenon_L209_); trivial. % 0.79/1.01 (* end of lemma zenon_L210_ *) % 0.79/1.01 assert (zenon_L211_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> False). % 0.79/1.01 do 0 intro. intros zenon_He7 zenon_Ha zenon_H215 zenon_H216 zenon_H217. % 0.79/1.01 generalize (zenon_He7 (a713)). zenon_intro zenon_H218. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H218); [ zenon_intro zenon_H9 | zenon_intro zenon_H219 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H21b | zenon_intro zenon_H21a ]. % 0.79/1.01 exact (zenon_H215 zenon_H21b). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 0.79/1.01 exact (zenon_H216 zenon_H21d). % 0.79/1.01 exact (zenon_H217 zenon_H21c). % 0.79/1.01 (* end of lemma zenon_L211_ *) % 0.79/1.01 assert (zenon_L212_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((hskp9)\/(hskp10))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp10)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H21e zenon_H217 zenon_H216 zenon_H215 zenon_Ha zenon_H21f zenon_H145. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_He7 | zenon_intro zenon_H220 ]. % 0.79/1.01 apply (zenon_L211_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H221 | zenon_intro zenon_H146 ]. % 0.79/1.01 exact (zenon_H21f zenon_H221). % 0.79/1.01 exact (zenon_H145 zenon_H146). % 0.79/1.01 (* end of lemma zenon_L212_ *) % 0.79/1.01 assert (zenon_L213_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a720))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (c3_1 (a720)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1a4 zenon_Ha zenon_H1b4 zenon_H4b zenon_H1b6. % 0.79/1.01 generalize (zenon_H1a4 (a720)). zenon_intro zenon_H222. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H9 | zenon_intro zenon_H223 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1ba | zenon_intro zenon_H224 ]. % 0.79/1.01 exact (zenon_H1b4 zenon_H1ba). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H225 | zenon_intro zenon_H1bb ]. % 0.79/1.01 generalize (zenon_H4b (a720)). zenon_intro zenon_H226. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_H9 | zenon_intro zenon_H227 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 0.79/1.01 exact (zenon_H225 zenon_H229). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ]. % 0.79/1.01 exact (zenon_H1b4 zenon_H1ba). % 0.79/1.01 exact (zenon_H1bb zenon_H1b6). % 0.79/1.01 exact (zenon_H1bb zenon_H1b6). % 0.79/1.01 (* end of lemma zenon_L213_ *) % 0.79/1.01 assert (zenon_L214_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (~(c1_1 (a720))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1f0 zenon_H1b5 zenon_H1b6 zenon_H4b zenon_H1b4 zenon_Ha zenon_H1ee. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1f1 ]. % 0.79/1.01 apply (zenon_L154_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ef ]. % 0.79/1.01 apply (zenon_L213_); trivial. % 0.79/1.01 exact (zenon_H1ee zenon_H1ef). % 0.79/1.01 (* end of lemma zenon_L214_ *) % 0.79/1.01 assert (zenon_L215_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp23)) -> (~(c1_1 (a720))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a748))) -> (c2_1 (a748)) -> (c3_1 (a748)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H1ee zenon_H1b4 zenon_H1b6 zenon_H1b5 zenon_H1f0 zenon_Ha zenon_H8b zenon_H8c zenon_H8d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/1.01 apply (zenon_L214_); trivial. % 0.79/1.01 apply (zenon_L38_); trivial. % 0.79/1.01 (* end of lemma zenon_L215_ *) % 0.79/1.01 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757)))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1fb zenon_H186 zenon_H184 zenon_Ha7. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_Ha. zenon_intro zenon_H1fc. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1f3. zenon_intro zenon_H1fd. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hb | zenon_intro zenon_H187 ]. % 0.79/1.01 apply (zenon_L191_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H185 | zenon_intro zenon_Ha8 ]. % 0.79/1.01 exact (zenon_H184 zenon_H185). % 0.79/1.01 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.01 (* end of lemma zenon_L216_ *) % 0.79/1.01 assert (zenon_L217_ : ((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H94 zenon_H1fe zenon_H186 zenon_Ha7 zenon_H184 zenon_H81 zenon_H82 zenon_H83 zenon_H1f0 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_H95. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Ha. zenon_intro zenon_H96. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8c. zenon_intro zenon_H97. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.79/1.01 apply (zenon_L215_); trivial. % 0.79/1.01 apply (zenon_L216_); trivial. % 0.79/1.01 (* end of lemma zenon_L217_ *) % 0.79/1.01 assert (zenon_L218_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp6)) -> (~(hskp1)) -> ((hskp6)\/((hskp1)\/(hskp21))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H9a zenon_H1fe zenon_H186 zenon_Ha7 zenon_H184 zenon_H81 zenon_H82 zenon_H83 zenon_H1f0 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_H95 zenon_H7a zenon_H1d zenon_H7e. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.79/1.01 apply (zenon_L36_); trivial. % 0.79/1.01 apply (zenon_L217_); trivial. % 0.79/1.01 (* end of lemma zenon_L218_ *) % 0.79/1.01 assert (zenon_L219_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H217 zenon_H216 zenon_H215 zenon_Ha zenon_Hff. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_He3 | zenon_intro zenon_H133 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_He7 | zenon_intro zenon_H100 ]. % 0.79/1.01 apply (zenon_L211_); trivial. % 0.79/1.01 exact (zenon_Hff zenon_H100). % 0.79/1.01 (* end of lemma zenon_L219_ *) % 0.79/1.01 assert (zenon_L220_ : (~(hskp2)) -> (hskp2) -> False). % 0.79/1.01 do 0 intro. intros zenon_H22a zenon_H22b. % 0.79/1.01 exact (zenon_H22a zenon_H22b). % 0.79/1.01 (* end of lemma zenon_L220_ *) % 0.79/1.01 assert (zenon_L221_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> (c2_1 (a709)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c3_1 (a720)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (~(c1_1 (a720))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H22c zenon_H10d zenon_H10f zenon_H10e zenon_Hea zenon_H1b6 zenon_H4b zenon_H1b4 zenon_Ha zenon_H22a. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H23 | zenon_intro zenon_H22d ]. % 0.79/1.01 apply (zenon_L91_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H22b ]. % 0.79/1.01 apply (zenon_L213_); trivial. % 0.79/1.01 exact (zenon_H22a zenon_H22b). % 0.79/1.01 (* end of lemma zenon_L221_ *) % 0.79/1.01 assert (zenon_L222_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp2)) -> (~(c1_1 (a720))) -> (c3_1 (a720)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H22a zenon_H1b4 zenon_H1b6 zenon_Hea zenon_H22c zenon_H13b zenon_Ha zenon_H10e zenon_H10f zenon_H10d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.79/1.01 apply (zenon_L221_); trivial. % 0.79/1.01 apply (zenon_L92_); trivial. % 0.79/1.01 (* end of lemma zenon_L222_ *) % 0.79/1.01 assert (zenon_L223_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp2)) -> (~(c1_1 (a720))) -> (c3_1 (a720)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H19 zenon_H140 zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H22a zenon_H1b4 zenon_H1b6 zenon_Hea zenon_H22c zenon_Ha zenon_H10e zenon_H10f zenon_H10d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.01 apply (zenon_L93_); trivial. % 0.79/1.01 apply (zenon_L222_); trivial. % 0.79/1.01 (* end of lemma zenon_L223_ *) % 0.79/1.01 assert (zenon_L224_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a720)) -> (~(c1_1 (a720))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11c zenon_H32 zenon_Hfb zenon_H1 zenon_H12e zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_H22c zenon_H22a zenon_H1b6 zenon_H1b4 zenon_H95 zenon_H140 zenon_Hf5 zenon_H11b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L219_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_L223_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L219_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.01 apply (zenon_L109_); trivial. % 0.79/1.01 apply (zenon_L222_); trivial. % 0.79/1.01 apply (zenon_L111_); trivial. % 0.79/1.01 (* end of lemma zenon_L224_ *) % 0.79/1.01 assert (zenon_L225_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((hskp6)\/((hskp1)\/(hskp21))) -> (~(hskp1)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp16)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H124 zenon_H32 zenon_Hfb zenon_H1 zenon_H12e zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H142 zenon_H22c zenon_H22a zenon_H140 zenon_Hf5 zenon_H11b zenon_H7e zenon_H1d zenon_H7a zenon_H95 zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H1f0 zenon_H83 zenon_H82 zenon_H81 zenon_H184 zenon_H186 zenon_H1fe zenon_H9a. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L218_); trivial. % 0.79/1.01 apply (zenon_L224_); trivial. % 0.79/1.01 (* end of lemma zenon_L225_ *) % 0.79/1.01 assert (zenon_L226_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a732))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (c3_1 (a732)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H9e zenon_Ha zenon_H1a5 zenon_H6a zenon_H1a7. % 0.79/1.01 generalize (zenon_H9e (a732)). zenon_intro zenon_H22e. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_H9 | zenon_intro zenon_H22f ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H230 ]. % 0.79/1.01 exact (zenon_H1a5 zenon_H1ab). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H203 | zenon_intro zenon_H1ac ]. % 0.79/1.01 apply (zenon_L203_); trivial. % 0.79/1.01 exact (zenon_H1ac zenon_H1a7). % 0.79/1.01 (* end of lemma zenon_L226_ *) % 0.79/1.01 assert (zenon_L227_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(hskp11)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H75 zenon_H63 zenon_H62 zenon_H61 zenon_H1a7 zenon_H1a5 zenon_Ha zenon_H9e zenon_H35. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_Hd | zenon_intro zenon_H78 ]. % 0.79/1.01 apply (zenon_L29_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6a | zenon_intro zenon_H36 ]. % 0.79/1.01 apply (zenon_L226_); trivial. % 0.79/1.01 exact (zenon_H35 zenon_H36). % 0.79/1.01 (* end of lemma zenon_L227_ *) % 0.79/1.01 assert (zenon_L228_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a732)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H20b zenon_H1a6 zenon_H6a zenon_H75 zenon_H63 zenon_H62 zenon_H61 zenon_H1a7 zenon_H1a5 zenon_Ha zenon_H35. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.79/1.01 apply (zenon_L29_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.79/1.01 apply (zenon_L204_); trivial. % 0.79/1.01 apply (zenon_L227_); trivial. % 0.79/1.01 (* end of lemma zenon_L228_ *) % 0.79/1.01 assert (zenon_L229_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1ae zenon_H61 zenon_H62 zenon_H63 zenon_H75 zenon_H20b zenon_H35. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_Hd | zenon_intro zenon_H78 ]. % 0.79/1.01 apply (zenon_L29_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6a | zenon_intro zenon_H36 ]. % 0.79/1.01 apply (zenon_L228_); trivial. % 0.79/1.01 exact (zenon_H35 zenon_H36). % 0.79/1.01 (* end of lemma zenon_L229_ *) % 0.79/1.01 assert (zenon_L230_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H79 zenon_H75 zenon_H35 zenon_H63 zenon_H62 zenon_H61 zenon_H11b zenon_H116 zenon_H154 zenon_H83 zenon_H82 zenon_H81 zenon_H145 zenon_H147 zenon_H186 zenon_Ha7 zenon_H184 zenon_H3 zenon_Ha9 zenon_H16f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.01 apply (zenon_L106_); trivial. % 0.79/1.01 apply (zenon_L175_); trivial. % 0.79/1.01 apply (zenon_L31_); trivial. % 0.79/1.01 (* end of lemma zenon_L230_ *) % 0.79/1.01 assert (zenon_L231_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp24)) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11b zenon_H116 zenon_H152 zenon_H5b zenon_H154 zenon_H83 zenon_H82 zenon_H81 zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L219_); trivial. % 0.79/1.01 apply (zenon_L105_); trivial. % 0.79/1.01 (* end of lemma zenon_L231_ *) % 0.79/1.01 assert (zenon_L232_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H74 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L219_); trivial. % 0.79/1.01 apply (zenon_L176_); trivial. % 0.79/1.01 (* end of lemma zenon_L232_ *) % 0.79/1.01 assert (zenon_L233_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11c zenon_H79 zenon_H16f zenon_Hfb zenon_H142 zenon_Hdd zenon_H140 zenon_Hf5 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b zenon_H145 zenon_H147 zenon_H1 zenon_H12e zenon_H32. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.01 apply (zenon_L231_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H160. zenon_intro zenon_H16e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15f. zenon_intro zenon_H15e. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L219_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.01 apply (zenon_L93_); trivial. % 0.79/1.01 apply (zenon_L110_); trivial. % 0.79/1.01 apply (zenon_L111_); trivial. % 0.79/1.01 apply (zenon_L113_); trivial. % 0.79/1.01 apply (zenon_L232_); trivial. % 0.79/1.01 (* end of lemma zenon_L233_ *) % 0.79/1.01 assert (zenon_L234_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a719)) -> (c1_1 (a719)) -> (~(c0_1 (a719))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp18)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H231 zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H170 zenon_H5b. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.79/1.01 generalize (zenon_H236 (a719)). zenon_intro zenon_H237. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H238 ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 0.79/1.01 exact (zenon_H234 zenon_H23a). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H23c | zenon_intro zenon_H23b ]. % 0.79/1.01 exact (zenon_H23c zenon_H233). % 0.79/1.01 exact (zenon_H23b zenon_H232). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H171 | zenon_intro zenon_H5c ]. % 0.79/1.01 exact (zenon_H170 zenon_H171). % 0.79/1.01 exact (zenon_H5b zenon_H5c). % 0.79/1.01 (* end of lemma zenon_L234_ *) % 0.79/1.01 assert (zenon_L235_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_H1a6 zenon_H1a7 zenon_H1a5 zenon_Hd3 zenon_Ha zenon_H175 zenon_H176 zenon_H177. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd | zenon_intro zenon_H182 ]. % 0.79/1.01 apply (zenon_L29_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H6a | zenon_intro zenon_H174 ]. % 0.79/1.01 apply (zenon_L204_); trivial. % 0.79/1.01 apply (zenon_L120_); trivial. % 0.79/1.01 (* end of lemma zenon_L235_ *) % 0.79/1.01 assert (zenon_L236_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_H1a7 zenon_H1a5 zenon_H9e zenon_Ha zenon_H175 zenon_H176 zenon_H177. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd | zenon_intro zenon_H182 ]. % 0.79/1.01 apply (zenon_L29_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H6a | zenon_intro zenon_H174 ]. % 0.79/1.01 apply (zenon_L226_); trivial. % 0.79/1.01 apply (zenon_L120_); trivial. % 0.79/1.01 (* end of lemma zenon_L236_ *) % 0.79/1.01 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a732)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H17e zenon_H20b zenon_H1a6 zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_H1a7 zenon_H1a5. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.79/1.01 apply (zenon_L29_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.79/1.01 apply (zenon_L235_); trivial. % 0.79/1.01 apply (zenon_L236_); trivial. % 0.79/1.01 (* end of lemma zenon_L237_ *) % 0.79/1.01 assert (zenon_L238_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (ndr1_0) -> (~(c0_1 (a719))) -> (c1_1 (a719)) -> (c2_1 (a719)) -> (~(hskp18)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H183 zenon_H20b zenon_H1a5 zenon_H1a7 zenon_H1a6 zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H5b zenon_H231. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.79/1.01 apply (zenon_L234_); trivial. % 0.79/1.01 apply (zenon_L237_); trivial. % 0.79/1.01 (* end of lemma zenon_L238_ *) % 0.79/1.01 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a719)) -> (c1_1 (a719)) -> (~(c0_1 (a719))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H75 zenon_H35 zenon_H231 zenon_H232 zenon_H233 zenon_H234 zenon_H61 zenon_H62 zenon_H63 zenon_H17f zenon_H20b zenon_H183. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L238_); trivial. % 0.79/1.01 apply (zenon_L31_); trivial. % 0.79/1.01 (* end of lemma zenon_L239_ *) % 0.79/1.01 assert (zenon_L240_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> (ndr1_0) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H79 zenon_H75 zenon_H35 zenon_H63 zenon_H62 zenon_H61 zenon_H186 zenon_Ha7 zenon_H184 zenon_H122 zenon_He zenon_Hc zenon_Ha zenon_H18c. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L128_); trivial. % 0.79/1.01 apply (zenon_L31_); trivial. % 0.79/1.01 (* end of lemma zenon_L240_ *) % 0.79/1.01 assert (zenon_L241_ : ((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a719)) -> (c1_1 (a719)) -> (~(c0_1 (a719))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11f zenon_H1b3 zenon_H231 zenon_H232 zenon_H233 zenon_H234 zenon_H17f zenon_H20b zenon_H183 zenon_H79 zenon_H75 zenon_H35 zenon_H63 zenon_H62 zenon_H61 zenon_H186 zenon_H18c zenon_H32 zenon_H147 zenon_H145 zenon_Hf5 zenon_H140 zenon_H12e zenon_H1 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_Hfb zenon_H11b zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H116 zenon_H124. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L240_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L145_); trivial. % 0.79/1.01 apply (zenon_L232_); trivial. % 0.79/1.01 apply (zenon_L239_); trivial. % 0.79/1.01 (* end of lemma zenon_L241_ *) % 0.79/1.01 assert (zenon_L242_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a719))/\((c2_1 (a719))/\(~(c0_1 (a719))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((hskp9)\/(hskp10))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp1)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H128 zenon_H23d zenon_H123 zenon_H18c zenon_Hdd zenon_H16f zenon_Ha9 zenon_H147 zenon_H154 zenon_H116 zenon_H79 zenon_H183 zenon_H17f zenon_H231 zenon_H21e zenon_H217 zenon_H216 zenon_H215 zenon_H9d zenon_H1b3 zenon_H75 zenon_H20b zenon_H9a zenon_H1fe zenon_H186 zenon_H1f0 zenon_H95 zenon_H7a zenon_H7e zenon_H11b zenon_Hf5 zenon_H140 zenon_H22a zenon_H22c zenon_H142 zenon_H132 zenon_H12e zenon_Hfb zenon_H32 zenon_H124 zenon_H1d zenon_H21 zenon_H20e zenon_H4a zenon_H46 zenon_H43 zenon_H37 zenon_H1 zenon_H55 zenon_H5a. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.79/1.01 apply (zenon_L25_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H21f | zenon_intro zenon_H23e ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.79/1.01 apply (zenon_L212_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L33_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_L225_); trivial. % 0.79/1.01 apply (zenon_L229_); trivial. % 0.79/1.01 apply (zenon_L41_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H233. zenon_intro zenon_H240. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H232. zenon_intro zenon_H234. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L33_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L230_); trivial. % 0.79/1.01 apply (zenon_L233_); trivial. % 0.79/1.01 apply (zenon_L239_); trivial. % 0.79/1.01 apply (zenon_L241_); trivial. % 0.79/1.01 apply (zenon_L41_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L33_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_L225_); trivial. % 0.79/1.01 apply (zenon_L239_); trivial. % 0.79/1.01 apply (zenon_L41_); trivial. % 0.79/1.01 (* end of lemma zenon_L242_ *) % 0.79/1.01 assert (zenon_L243_ : (~(hskp26)) -> (hskp26) -> False). % 0.79/1.01 do 0 intro. intros zenon_H241 zenon_H242. % 0.79/1.01 exact (zenon_H241 zenon_H242). % 0.79/1.01 (* end of lemma zenon_L243_ *) % 0.79/1.01 assert (zenon_L244_ : ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H243 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hd3 zenon_H241 zenon_H35. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H244 ]. % 0.79/1.01 apply (zenon_L56_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H242 | zenon_intro zenon_H36 ]. % 0.79/1.01 exact (zenon_H241 zenon_H242). % 0.79/1.01 exact (zenon_H35 zenon_H36). % 0.79/1.01 (* end of lemma zenon_L244_ *) % 0.79/1.01 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> False). % 0.79/1.01 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H35 zenon_H241 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243. % 0.79/1.01 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.79/1.01 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.79/1.01 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.79/1.01 apply (zenon_L211_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.79/1.01 apply (zenon_L244_); trivial. % 0.79/1.01 apply (zenon_L64_); trivial. % 0.79/1.01 (* end of lemma zenon_L245_ *) % 0.79/1.01 assert (zenon_L246_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a773))) -> (c0_1 (a773)) -> (c1_1 (a773)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H245 zenon_Ha zenon_H246 zenon_H247 zenon_H248. % 0.79/1.01 generalize (zenon_H245 (a773)). zenon_intro zenon_H249. % 0.79/1.01 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H9 | zenon_intro zenon_H24a ]. % 0.79/1.01 exact (zenon_H9 zenon_Ha). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 0.79/1.01 exact (zenon_H246 zenon_H24c). % 0.79/1.01 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24e | zenon_intro zenon_H24d ]. % 0.79/1.01 exact (zenon_H24e zenon_H247). % 0.79/1.01 exact (zenon_H24d zenon_H248). % 0.79/1.01 (* end of lemma zenon_L246_ *) % 0.79/1.01 assert (zenon_L247_ : ((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(hskp16)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H24f zenon_H250 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H184. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H251. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H247. zenon_intro zenon_H252. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H246. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hfc | zenon_intro zenon_H253 ]. % 0.79/1.01 apply (zenon_L67_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H185 ]. % 0.79/1.01 apply (zenon_L246_); trivial. % 0.79/1.01 exact (zenon_H184 zenon_H185). % 0.79/1.01 (* end of lemma zenon_L247_ *) % 0.79/1.01 assert (zenon_L248_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H254 zenon_H250 zenon_H184 zenon_Hdd zenon_H5b zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H35 zenon_H243 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hfb. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H241 | zenon_intro zenon_H24f ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.79/1.01 apply (zenon_L244_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hdc | zenon_intro zenon_H5c ]. % 0.79/1.01 exact (zenon_Hdb zenon_Hdc). % 0.79/1.01 exact (zenon_H5b zenon_H5c). % 0.79/1.01 apply (zenon_L245_); trivial. % 0.79/1.01 apply (zenon_L247_); trivial. % 0.79/1.01 (* end of lemma zenon_L248_ *) % 0.79/1.01 assert (zenon_L249_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp16)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H79 zenon_H75 zenon_H63 zenon_H62 zenon_H61 zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H243 zenon_H35 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdd zenon_H184 zenon_H250 zenon_H254. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_L248_); trivial. % 0.79/1.01 apply (zenon_L31_); trivial. % 0.79/1.01 (* end of lemma zenon_L249_ *) % 0.79/1.01 assert (zenon_L250_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1b3 zenon_H20b zenon_H254 zenon_H250 zenon_Hdd zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H35 zenon_H243 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hfb zenon_H61 zenon_H62 zenon_H63 zenon_H75 zenon_H79. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_L249_); trivial. % 0.79/1.01 apply (zenon_L229_); trivial. % 0.79/1.01 (* end of lemma zenon_L250_ *) % 0.79/1.01 assert (zenon_L251_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> (ndr1_0) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1fe zenon_H186 zenon_Ha7 zenon_H184 zenon_H1f0 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Ha zenon_H215 zenon_H216 zenon_H217 zenon_H194 zenon_H195 zenon_H196 zenon_H1a2. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H4b | zenon_intro zenon_H1a3 ]. % 0.79/1.01 apply (zenon_L214_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_He7 | zenon_intro zenon_H193 ]. % 0.79/1.01 apply (zenon_L211_); trivial. % 0.79/1.01 apply (zenon_L138_); trivial. % 0.79/1.01 apply (zenon_L216_); trivial. % 0.79/1.01 (* end of lemma zenon_L251_ *) % 0.79/1.01 assert (zenon_L252_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (~(hskp2)) -> (~(c1_1 (a720))) -> (c3_1 (a720)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H1a2 zenon_H22a zenon_H1b4 zenon_H1b6 zenon_Hea zenon_H10e zenon_H10f zenon_H10d zenon_H22c zenon_H217 zenon_H216 zenon_H215 zenon_Ha zenon_H194 zenon_H195 zenon_H196. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H4b | zenon_intro zenon_H1a3 ]. % 0.79/1.01 apply (zenon_L221_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_He7 | zenon_intro zenon_H193 ]. % 0.79/1.01 apply (zenon_L211_); trivial. % 0.79/1.01 apply (zenon_L138_); trivial. % 0.79/1.01 (* end of lemma zenon_L252_ *) % 0.79/1.01 assert (zenon_L253_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a720)) -> (~(c1_1 (a720))) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11c zenon_H11b zenon_Hf5 zenon_H22c zenon_H22a zenon_H1b6 zenon_H1b4 zenon_H194 zenon_H195 zenon_H196 zenon_H1a2 zenon_H83 zenon_H82 zenon_H81 zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L219_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_L252_); trivial. % 0.79/1.01 (* end of lemma zenon_L253_ *) % 0.79/1.01 assert (zenon_L254_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H57 zenon_H1a2 zenon_H217 zenon_H216 zenon_H215 zenon_H194 zenon_H195 zenon_H196. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H4b | zenon_intro zenon_H1a3 ]. % 0.79/1.01 apply (zenon_L22_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_He7 | zenon_intro zenon_H193 ]. % 0.79/1.01 apply (zenon_L211_); trivial. % 0.79/1.01 apply (zenon_L138_); trivial. % 0.79/1.01 (* end of lemma zenon_L254_ *) % 0.79/1.01 assert (zenon_L255_ : ((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp1)) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H210 zenon_H5a zenon_H21 zenon_H1d zenon_H63 zenon_H62 zenon_H61 zenon_H124 zenon_H11b zenon_Hf5 zenon_H22c zenon_H22a zenon_H132 zenon_H1a2 zenon_H196 zenon_H195 zenon_H194 zenon_H217 zenon_H216 zenon_H215 zenon_H1f0 zenon_H186 zenon_H1fe zenon_H20b zenon_H75 zenon_H1b3 zenon_H9d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.01 apply (zenon_L33_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.01 apply (zenon_L251_); trivial. % 0.79/1.01 apply (zenon_L253_); trivial. % 0.79/1.01 apply (zenon_L229_); trivial. % 0.79/1.01 apply (zenon_L254_); trivial. % 0.79/1.01 (* end of lemma zenon_L255_ *) % 0.79/1.01 assert (zenon_L256_ : ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c3_1 (a716))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp18)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H154 zenon_H194 zenon_H196 zenon_H195 zenon_H174 zenon_Ha zenon_H152 zenon_H5b. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H149 | zenon_intro zenon_H155 ]. % 0.79/1.01 apply (zenon_L167_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H153 | zenon_intro zenon_H5c ]. % 0.79/1.01 exact (zenon_H152 zenon_H153). % 0.79/1.01 exact (zenon_H5b zenon_H5c). % 0.79/1.01 (* end of lemma zenon_L256_ *) % 0.79/1.01 assert (zenon_L257_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c3_1 (a716))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp18)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H19d zenon_H82 zenon_H81 zenon_H83 zenon_H154 zenon_H194 zenon_H196 zenon_H195 zenon_Ha zenon_H152 zenon_H5b. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H8a | zenon_intro zenon_H19e ]. % 0.79/1.01 apply (zenon_L158_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H193 | zenon_intro zenon_H174 ]. % 0.79/1.01 apply (zenon_L138_); trivial. % 0.79/1.01 apply (zenon_L256_); trivial. % 0.79/1.01 (* end of lemma zenon_L257_ *) % 0.79/1.01 assert (zenon_L258_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a725)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H16f zenon_Ha9 zenon_H3 zenon_H184 zenon_Ha7 zenon_H186 zenon_H154 zenon_H5b zenon_H83 zenon_H81 zenon_H82 zenon_Ha zenon_H194 zenon_H195 zenon_H196 zenon_H19d. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.01 apply (zenon_L257_); trivial. % 0.79/1.01 apply (zenon_L175_); trivial. % 0.79/1.01 (* end of lemma zenon_L258_ *) % 0.79/1.01 assert (zenon_L259_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> (c2_1 (a709)) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (ndr1_0) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H19d zenon_H10d zenon_H10f zenon_H10e zenon_H13b zenon_H196 zenon_H195 zenon_H194 zenon_Ha zenon_H175 zenon_H176 zenon_H177. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H8a | zenon_intro zenon_H19e ]. % 0.79/1.01 apply (zenon_L92_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H193 | zenon_intro zenon_H174 ]. % 0.79/1.01 apply (zenon_L138_); trivial. % 0.79/1.01 apply (zenon_L120_); trivial. % 0.79/1.01 (* end of lemma zenon_L259_ *) % 0.79/1.01 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.79/1.01 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_H83 zenon_H82 zenon_H81 zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H19 zenon_H140 zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H175 zenon_H176 zenon_H177. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.01 apply (zenon_L37_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.01 apply (zenon_L93_); trivial. % 0.79/1.01 apply (zenon_L259_); trivial. % 0.79/1.01 (* end of lemma zenon_L260_ *) % 0.79/1.01 assert (zenon_L261_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H17e zenon_H11b zenon_Hf5 zenon_H140 zenon_H19 zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L219_); trivial. % 0.79/1.01 apply (zenon_L260_); trivial. % 0.79/1.01 (* end of lemma zenon_L261_ *) % 0.79/1.01 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp18)) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H17e zenon_H11b zenon_Hfb zenon_Hf5 zenon_H83 zenon_H82 zenon_H81 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H12e zenon_H1 zenon_H26 zenon_H24 zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H142 zenon_H5b zenon_H145 zenon_H147. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.01 apply (zenon_L102_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.01 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.01 apply (zenon_L61_); trivial. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.01 apply (zenon_L109_); trivial. % 0.79/1.01 apply (zenon_L259_); trivial. % 0.79/1.01 apply (zenon_L111_); trivial. % 0.79/1.01 (* end of lemma zenon_L262_ *) % 0.79/1.01 assert (zenon_L263_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a719))) -> (c1_1 (a719)) -> (c2_1 (a719)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.79/1.01 do 0 intro. intros zenon_H11c zenon_H79 zenon_H116 zenon_H183 zenon_H11b zenon_Hf5 zenon_H140 zenon_H19d zenon_H196 zenon_H195 zenon_H194 zenon_H142 zenon_H83 zenon_H82 zenon_H81 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H234 zenon_H233 zenon_H232 zenon_H231 zenon_H147 zenon_H145 zenon_H1 zenon_H12e zenon_Hfb zenon_H32. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.79/1.01 apply (zenon_L234_); trivial. % 0.79/1.01 apply (zenon_L261_); trivial. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.79/1.01 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.79/1.01 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.79/1.01 apply (zenon_L234_); trivial. % 0.79/1.01 apply (zenon_L262_); trivial. % 0.79/1.01 apply (zenon_L232_); trivial. % 0.79/1.01 (* end of lemma zenon_L263_ *) % 0.79/1.01 assert (zenon_L264_ : ((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a719)) -> (c1_1 (a719)) -> (~(c0_1 (a719))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a716))) -> (c0_1 (a716)) -> (c2_1 (a716)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H11f zenon_H1b3 zenon_H17f zenon_H20b zenon_H79 zenon_H75 zenon_H35 zenon_H63 zenon_H62 zenon_H61 zenon_H186 zenon_H18c zenon_H32 zenon_Hfb zenon_H12e zenon_H1 zenon_H145 zenon_H147 zenon_H231 zenon_H232 zenon_H233 zenon_H234 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H142 zenon_H194 zenon_H195 zenon_H196 zenon_H19d zenon_H140 zenon_Hf5 zenon_H11b zenon_H183 zenon_H116 zenon_H124. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.02 apply (zenon_L240_); trivial. % 0.79/1.02 apply (zenon_L263_); trivial. % 0.79/1.02 apply (zenon_L239_); trivial. % 0.79/1.02 (* end of lemma zenon_L264_ *) % 0.79/1.02 assert (zenon_L265_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a716)) -> (c0_1 (a716)) -> (~(c3_1 (a716))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H5a zenon_H1a2 zenon_H196 zenon_H195 zenon_H194 zenon_H217 zenon_H216 zenon_H215 zenon_H37 zenon_H5 zenon_H43 zenon_H46 zenon_H4a. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.02 apply (zenon_L21_); trivial. % 0.79/1.02 apply (zenon_L254_); trivial. % 0.79/1.02 (* end of lemma zenon_L265_ *) % 0.79/1.02 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a717))/\((~(c2_1 (a717)))/\(~(c3_1 (a717))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((hskp9)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a719))/\((c2_1 (a719))/\(~(c0_1 (a719))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H255 zenon_H20d zenon_Hf6 zenon_H243 zenon_H250 zenon_H254 zenon_H5a zenon_H55 zenon_H37 zenon_H43 zenon_H46 zenon_H4a zenon_H20e zenon_H21 zenon_H1d zenon_H124 zenon_H11b zenon_Hf5 zenon_H22c zenon_H22a zenon_H132 zenon_H1a2 zenon_H1f0 zenon_H186 zenon_H1fe zenon_H20b zenon_H75 zenon_H1b3 zenon_H9d zenon_H215 zenon_H216 zenon_H217 zenon_H21e zenon_H231 zenon_H17f zenon_H183 zenon_H79 zenon_H19d zenon_H154 zenon_Ha9 zenon_H16f zenon_H32 zenon_H12e zenon_H147 zenon_H116 zenon_H140 zenon_Hdd zenon_H142 zenon_Hfb zenon_H18c zenon_H123 zenon_H23d zenon_H128. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Ha. zenon_intro zenon_H256. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H195. zenon_intro zenon_H257. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H196. zenon_intro zenon_H194. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.79/1.02 apply (zenon_L25_); trivial. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H21f | zenon_intro zenon_H23e ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.79/1.02 apply (zenon_L212_); trivial. % 0.79/1.02 apply (zenon_L255_); trivial. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H233. zenon_intro zenon_H240. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H232. zenon_intro zenon_H234. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.79/1.02 apply (zenon_L33_); trivial. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.02 apply (zenon_L258_); trivial. % 0.79/1.02 apply (zenon_L31_); trivial. % 0.79/1.02 apply (zenon_L233_); trivial. % 0.79/1.02 apply (zenon_L239_); trivial. % 0.79/1.02 apply (zenon_L264_); trivial. % 0.79/1.02 apply (zenon_L254_); trivial. % 0.79/1.02 apply (zenon_L255_); trivial. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.79/1.02 apply (zenon_L265_); trivial. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.02 apply (zenon_L250_); trivial. % 0.79/1.02 apply (zenon_L254_); trivial. % 0.79/1.02 (* end of lemma zenon_L266_ *) % 0.79/1.02 assert (zenon_L267_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp1)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp7)) -> (~(hskp8)) -> ((hskp7)\/((hskp14)\/(hskp8))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H123 zenon_H32 zenon_H2e zenon_H1b zenon_H1d zenon_H1f zenon_H21 zenon_H1 zenon_H5 zenon_H7. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.79/1.02 apply (zenon_L4_); trivial. % 0.79/1.02 apply (zenon_L80_); trivial. % 0.79/1.02 (* end of lemma zenon_L267_ *) % 0.79/1.02 assert (zenon_L268_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H258 zenon_Ha zenon_H259 zenon_H25a zenon_H25b. % 0.79/1.02 generalize (zenon_H258 (a708)). zenon_intro zenon_H25c. % 0.79/1.02 apply (zenon_imply_s _ _ zenon_H25c); [ zenon_intro zenon_H9 | zenon_intro zenon_H25d ]. % 0.79/1.02 exact (zenon_H9 zenon_Ha). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H25e ]. % 0.79/1.02 exact (zenon_H259 zenon_H25f). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ]. % 0.79/1.02 exact (zenon_H25a zenon_H261). % 0.79/1.02 exact (zenon_H260 zenon_H25b). % 0.79/1.02 (* end of lemma zenon_L268_ *) % 0.79/1.02 assert (zenon_L269_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp17)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H1d4 zenon_Ha7. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H258 | zenon_intro zenon_H263 ]. % 0.79/1.02 apply (zenon_L268_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H1d5 | zenon_intro zenon_Ha8 ]. % 0.79/1.02 exact (zenon_H1d4 zenon_H1d5). % 0.79/1.02 exact (zenon_Ha7 zenon_Ha8). % 0.79/1.02 (* end of lemma zenon_L269_ *) % 0.79/1.02 assert (zenon_L270_ : (~(hskp31)) -> (hskp31) -> False). % 0.79/1.02 do 0 intro. intros zenon_H264 zenon_H265. % 0.79/1.02 exact (zenon_H264 zenon_H265). % 0.79/1.02 (* end of lemma zenon_L270_ *) % 0.79/1.02 assert (zenon_L271_ : (~(hskp27)) -> (hskp27) -> False). % 0.79/1.02 do 0 intro. intros zenon_H266 zenon_H267. % 0.79/1.02 exact (zenon_H266 zenon_H267). % 0.79/1.02 (* end of lemma zenon_L271_ *) % 0.79/1.02 assert (zenon_L272_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a723)) -> (c2_1 (a723)) -> (c3_1 (a723)) -> False). % 0.79/1.02 do 0 intro. intros zenon_Hea zenon_Ha zenon_H268 zenon_H269 zenon_H26a. % 0.79/1.02 generalize (zenon_Hea (a723)). zenon_intro zenon_H26b. % 0.79/1.02 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26c ]. % 0.79/1.02 exact (zenon_H9 zenon_Ha). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H26e | zenon_intro zenon_H26d ]. % 0.79/1.02 exact (zenon_H26e zenon_H268). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H270 | zenon_intro zenon_H26f ]. % 0.79/1.02 exact (zenon_H270 zenon_H269). % 0.79/1.02 exact (zenon_H26f zenon_H26a). % 0.79/1.02 (* end of lemma zenon_L272_ *) % 0.79/1.02 assert (zenon_L273_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a723)) -> (c3_1 (a723)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H271 zenon_Ha zenon_Hea zenon_H268 zenon_H26a. % 0.79/1.02 generalize (zenon_H271 (a723)). zenon_intro zenon_H272. % 0.79/1.02 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.79/1.02 exact (zenon_H9 zenon_Ha). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H269 | zenon_intro zenon_H274 ]. % 0.79/1.02 apply (zenon_L272_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ]. % 0.79/1.02 exact (zenon_H26e zenon_H268). % 0.79/1.02 exact (zenon_H26f zenon_H26a). % 0.79/1.02 (* end of lemma zenon_L273_ *) % 0.79/1.02 assert (zenon_L274_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (c3_1 (a723)) -> (c0_1 (a723)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H26a zenon_H268 zenon_Hea zenon_Ha zenon_H184. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H258 | zenon_intro zenon_H276 ]. % 0.79/1.02 apply (zenon_L268_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H271 | zenon_intro zenon_H185 ]. % 0.79/1.02 apply (zenon_L273_); trivial. % 0.79/1.02 exact (zenon_H184 zenon_H185). % 0.79/1.02 (* end of lemma zenon_L274_ *) % 0.79/1.02 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(hskp16)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H277 zenon_Hf5 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H83 zenon_H82 zenon_H81 zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H184. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H268. zenon_intro zenon_H279. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H27a. zenon_intro zenon_H26a. % 0.79/1.02 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.79/1.02 apply (zenon_L61_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.79/1.02 apply (zenon_L37_); trivial. % 0.79/1.02 apply (zenon_L274_); trivial. % 0.79/1.02 (* end of lemma zenon_L275_ *) % 0.79/1.02 assert (zenon_L276_ : (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c1_1 (a780))) -> (~(c3_1 (a780))) -> (c2_1 (a780)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H149 zenon_Ha zenon_H27b zenon_H27c zenon_H27d. % 0.79/1.02 generalize (zenon_H149 (a780)). zenon_intro zenon_H27e. % 0.79/1.02 apply (zenon_imply_s _ _ zenon_H27e); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 0.79/1.02 exact (zenon_H9 zenon_Ha). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H281 | zenon_intro zenon_H280 ]. % 0.79/1.02 exact (zenon_H27b zenon_H281). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H283 | zenon_intro zenon_H282 ]. % 0.79/1.02 exact (zenon_H27c zenon_H283). % 0.79/1.02 exact (zenon_H282 zenon_H27d). % 0.79/1.02 (* end of lemma zenon_L276_ *) % 0.79/1.02 assert (zenon_L277_ : ((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp24)) -> (~(hskp18)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H284 zenon_H154 zenon_H152 zenon_H5b. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_Ha. zenon_intro zenon_H285. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H27d. zenon_intro zenon_H286. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H27b. zenon_intro zenon_H27c. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H149 | zenon_intro zenon_H155 ]. % 0.79/1.02 apply (zenon_L276_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H153 | zenon_intro zenon_H5c ]. % 0.79/1.02 exact (zenon_H152 zenon_H153). % 0.79/1.02 exact (zenon_H5b zenon_H5c). % 0.79/1.02 (* end of lemma zenon_L277_ *) % 0.79/1.02 assert (zenon_L278_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a762))) -> (c0_1 (a762)) -> (c3_1 (a762)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H271 zenon_Ha zenon_H15e zenon_H160 zenon_H15f. % 0.79/1.02 generalize (zenon_H271 (a762)). zenon_intro zenon_H287. % 0.79/1.02 apply (zenon_imply_s _ _ zenon_H287); [ zenon_intro zenon_H9 | zenon_intro zenon_H288 ]. % 0.79/1.02 exact (zenon_H9 zenon_Ha). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H16b | zenon_intro zenon_H289 ]. % 0.79/1.02 exact (zenon_H15e zenon_H16b). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H168 | zenon_intro zenon_H169 ]. % 0.79/1.02 exact (zenon_H168 zenon_H160). % 0.79/1.02 exact (zenon_H169 zenon_H15f). % 0.79/1.02 (* end of lemma zenon_L278_ *) % 0.79/1.02 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(hskp16)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H16c zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H184. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H160. zenon_intro zenon_H16e. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15f. zenon_intro zenon_H15e. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H258 | zenon_intro zenon_H276 ]. % 0.79/1.02 apply (zenon_L268_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H271 | zenon_intro zenon_H185 ]. % 0.79/1.02 apply (zenon_L278_); trivial. % 0.79/1.02 exact (zenon_H184 zenon_H185). % 0.79/1.02 (* end of lemma zenon_L279_ *) % 0.79/1.02 assert (zenon_L280_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a730))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H16f zenon_Hfb zenon_H12e zenon_H1 zenon_Ha zenon_Hc zenon_H122 zenon_He zenon_H28a zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H81 zenon_H82 zenon_H83 zenon_H275 zenon_H184 zenon_H25b zenon_H25a zenon_H259 zenon_Hf5 zenon_H28b zenon_H5b zenon_H154 zenon_H28c. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H266 | zenon_intro zenon_H284 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H264 | zenon_intro zenon_H277 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12b | zenon_intro zenon_H130 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hb | zenon_intro zenon_H28d ]. % 0.79/1.02 generalize (zenon_Hb (a730)). zenon_intro zenon_Hf. % 0.79/1.02 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.79/1.02 exact (zenon_H9 zenon_Ha). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.79/1.02 exact (zenon_Hc zenon_H12). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.79/1.02 generalize (zenon_H12b (a730)). zenon_intro zenon_H19f. % 0.79/1.02 apply (zenon_imply_s _ _ zenon_H19f); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a0 ]. % 0.79/1.02 exact (zenon_H9 zenon_Ha). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H18 | zenon_intro zenon_H1a1 ]. % 0.79/1.02 exact (zenon_H14 zenon_H18). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H12 | zenon_intro zenon_H18b ]. % 0.79/1.02 exact (zenon_Hc zenon_H12). % 0.79/1.02 exact (zenon_H18b zenon_H122). % 0.79/1.02 exact (zenon_H13 zenon_He). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H265 | zenon_intro zenon_H267 ]. % 0.79/1.02 exact (zenon_H264 zenon_H265). % 0.79/1.02 exact (zenon_H266 zenon_H267). % 0.79/1.02 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hdc | zenon_intro zenon_H2 ]. % 0.79/1.02 exact (zenon_Hdb zenon_Hdc). % 0.79/1.02 exact (zenon_H1 zenon_H2). % 0.79/1.02 apply (zenon_L275_); trivial. % 0.79/1.02 apply (zenon_L111_); trivial. % 0.79/1.02 apply (zenon_L277_); trivial. % 0.79/1.02 apply (zenon_L279_); trivial. % 0.79/1.02 (* end of lemma zenon_L280_ *) % 0.79/1.02 assert (zenon_L281_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp8)) -> (~(hskp19)) -> (~(c2_1 (a730))) -> (c1_1 (a730)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H75 zenon_H5 zenon_H19 zenon_Hc zenon_He zenon_H1b zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_H35. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_Hd | zenon_intro zenon_H78 ]. % 0.79/1.02 apply (zenon_L8_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6a | zenon_intro zenon_H36 ]. % 0.79/1.02 apply (zenon_L30_); trivial. % 0.79/1.02 exact (zenon_H35 zenon_H36). % 0.79/1.02 (* end of lemma zenon_L281_ *) % 0.79/1.02 assert (zenon_L282_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H74 zenon_H32 zenon_H2e zenon_H1d zenon_H1b zenon_H5 zenon_He zenon_Hc zenon_H35 zenon_H75. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.79/1.02 apply (zenon_L281_); trivial. % 0.79/1.02 apply (zenon_L13_); trivial. % 0.79/1.02 (* end of lemma zenon_L282_ *) % 0.79/1.02 assert (zenon_L283_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> (~(c2_1 (a730))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H124 zenon_H79 zenon_H32 zenon_H2e zenon_H1d zenon_H1b zenon_H5 zenon_H35 zenon_H75 zenon_H28c zenon_H154 zenon_H28b zenon_Hf5 zenon_H184 zenon_H275 zenon_H83 zenon_H82 zenon_H81 zenon_H28a zenon_He zenon_H122 zenon_Hc zenon_H1 zenon_H12e zenon_Hfb zenon_H16f zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.79/1.02 apply (zenon_L269_); trivial. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.02 apply (zenon_L280_); trivial. % 0.79/1.02 apply (zenon_L282_); trivial. % 0.79/1.02 (* end of lemma zenon_L283_ *) % 0.79/1.02 assert (zenon_L284_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (c3_1 (a732)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a732))) -> (ndr1_0) -> False). % 0.79/1.02 do 0 intro. intros zenon_H144 zenon_H3c zenon_H3b zenon_H3a zenon_H1a7 zenon_H6a zenon_H1a5 zenon_Ha. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.79/1.02 apply (zenon_L226_); trivial. % 0.79/1.02 apply (zenon_L18_); trivial. % 0.79/1.02 (* end of lemma zenon_L284_ *) % 0.79/1.02 assert (zenon_L285_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H118 zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H1a5 zenon_H1a7 zenon_H3a zenon_H3b zenon_H3c zenon_H144. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.79/1.02 apply (zenon_L37_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.79/1.02 apply (zenon_L284_); trivial. % 0.79/1.02 apply (zenon_L75_); trivial. % 0.79/1.02 (* end of lemma zenon_L285_ *) % 0.79/1.02 assert (zenon_L286_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp18)) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H45 zenon_H11b zenon_H116 zenon_H1a5 zenon_H1a7 zenon_H144 zenon_H83 zenon_H82 zenon_H81 zenon_H5b zenon_H145 zenon_H147. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.02 apply (zenon_L102_); trivial. % 0.79/1.02 apply (zenon_L285_); trivial. % 0.79/1.02 (* end of lemma zenon_L286_ *) % 0.79/1.02 assert (zenon_L287_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp18)) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H4a zenon_H11b zenon_H116 zenon_H1a5 zenon_H1a7 zenon_H144 zenon_H83 zenon_H82 zenon_H81 zenon_H5b zenon_H145 zenon_H147 zenon_H5 zenon_H35 zenon_H37. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.02 apply (zenon_L17_); trivial. % 0.79/1.02 apply (zenon_L286_); trivial. % 0.79/1.02 (* end of lemma zenon_L287_ *) % 0.79/1.02 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H32 zenon_H2e zenon_H1d zenon_H1b zenon_He zenon_Hc zenon_H75 zenon_H37 zenon_H35 zenon_H5 zenon_H147 zenon_H145 zenon_H81 zenon_H82 zenon_H83 zenon_H144 zenon_H116 zenon_H11b zenon_H4a. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.02 apply (zenon_L287_); trivial. % 0.79/1.02 apply (zenon_L282_); trivial. % 0.79/1.02 (* end of lemma zenon_L288_ *) % 0.79/1.02 assert (zenon_L289_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(hskp18)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H16f zenon_H275 zenon_H184 zenon_H25b zenon_H25a zenon_H259 zenon_H147 zenon_H145 zenon_H5b zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.02 apply (zenon_L106_); trivial. % 0.79/1.02 apply (zenon_L279_); trivial. % 0.79/1.02 (* end of lemma zenon_L289_ *) % 0.79/1.02 assert (zenon_L290_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H79 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H11b zenon_H116 zenon_H154 zenon_H83 zenon_H82 zenon_H81 zenon_H145 zenon_H147 zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H16f. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.02 apply (zenon_L289_); trivial. % 0.79/1.02 apply (zenon_L182_); trivial. % 0.79/1.02 (* end of lemma zenon_L290_ *) % 0.79/1.02 assert (zenon_L291_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H37 zenon_H35 zenon_H5 zenon_H147 zenon_H145 zenon_H81 zenon_H82 zenon_H83 zenon_H144 zenon_H116 zenon_H11b zenon_H4a. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.02 apply (zenon_L287_); trivial. % 0.79/1.02 apply (zenon_L182_); trivial. % 0.79/1.02 (* end of lemma zenon_L291_ *) % 0.79/1.02 assert (zenon_L292_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H37 zenon_H35 zenon_H5 zenon_H144 zenon_H4a zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H147 zenon_H145 zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b zenon_H1e8 zenon_H79. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.02 apply (zenon_L290_); trivial. % 0.79/1.02 apply (zenon_L291_); trivial. % 0.79/1.02 (* end of lemma zenon_L292_ *) % 0.79/1.02 assert (zenon_L293_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_H5 zenon_H35 zenon_H37. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.02 apply (zenon_L17_); trivial. % 0.79/1.02 apply (zenon_L155_); trivial. % 0.79/1.02 (* end of lemma zenon_L293_ *) % 0.79/1.02 assert (zenon_L294_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H5a zenon_H55 zenon_H1 zenon_H37 zenon_H5 zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H144 zenon_H4a. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.79/1.02 apply (zenon_L293_); trivial. % 0.79/1.02 apply (zenon_L24_); trivial. % 0.79/1.02 (* end of lemma zenon_L294_ *) % 0.79/1.02 assert (zenon_L295_ : ((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H210 zenon_H5a zenon_H55 zenon_H1 zenon_H37 zenon_H5 zenon_H144 zenon_H4a. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.79/1.02 apply (zenon_L294_); trivial. % 0.79/1.02 (* end of lemma zenon_L295_ *) % 0.79/1.02 assert (zenon_L296_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> (c2_1 (a709)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.79/1.02 do 0 intro. intros zenon_H28e zenon_H63 zenon_H62 zenon_H61 zenon_H10d zenon_H10f zenon_H10e zenon_H8a zenon_Ha zenon_H264. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hd | zenon_intro zenon_H28f ]. % 0.79/1.02 apply (zenon_L29_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H13b | zenon_intro zenon_H265 ]. % 0.79/1.02 apply (zenon_L92_); trivial. % 0.79/1.02 exact (zenon_H264 zenon_H265). % 0.79/1.02 (* end of lemma zenon_L296_ *) % 0.79/1.02 assert (zenon_L297_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H118 zenon_H28b zenon_Hf5 zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H28e zenon_H63 zenon_H62 zenon_H61 zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H142. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H264 | zenon_intro zenon_H277 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.79/1.02 apply (zenon_L61_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.79/1.02 apply (zenon_L296_); trivial. % 0.79/1.02 apply (zenon_L94_); trivial. % 0.79/1.02 apply (zenon_L275_); trivial. % 0.79/1.02 (* end of lemma zenon_L297_ *) % 0.79/1.02 assert (zenon_L298_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H11b zenon_H28b zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H28e zenon_H63 zenon_H62 zenon_H61 zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H142 zenon_H12f zenon_H33 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.02 apply (zenon_L116_); trivial. % 0.79/1.02 apply (zenon_L297_); trivial. % 0.79/1.02 (* end of lemma zenon_L298_ *) % 0.79/1.02 assert (zenon_L299_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H74 zenon_H4a zenon_H144 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H12f zenon_H142 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H95 zenon_H61 zenon_H62 zenon_H63 zenon_H28e zenon_H275 zenon_H184 zenon_H25b zenon_H25a zenon_H259 zenon_H28b zenon_H11b. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.79/1.02 apply (zenon_L298_); trivial. % 0.79/1.02 apply (zenon_L99_); trivial. % 0.79/1.02 (* end of lemma zenon_L299_ *) % 0.79/1.02 assert (zenon_L300_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H16f zenon_H275 zenon_H184 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H5b zenon_H95. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.79/1.02 apply (zenon_L159_); trivial. % 0.79/1.02 apply (zenon_L279_); trivial. % 0.79/1.02 (* end of lemma zenon_L300_ *) % 0.79/1.02 assert (zenon_L301_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H79 zenon_H11b zenon_H116 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H95 zenon_H154 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H16f. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.79/1.02 apply (zenon_L300_); trivial. % 0.79/1.02 apply (zenon_L182_); trivial. % 0.79/1.02 (* end of lemma zenon_L301_ *) % 0.79/1.02 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H1ae zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H20b zenon_H4e zenon_H4d zenon_H63 zenon_H62 zenon_H61 zenon_H1e8. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e9 ]. % 0.79/1.02 apply (zenon_L180_); trivial. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H6a | zenon_intro zenon_H100 ]. % 0.79/1.02 apply (zenon_L206_); trivial. % 0.79/1.02 exact (zenon_Hff zenon_H100). % 0.79/1.02 apply (zenon_L207_); trivial. % 0.79/1.02 (* end of lemma zenon_L302_ *) % 0.79/1.02 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.79/1.02 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H20b zenon_H63 zenon_H62 zenon_H61 zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H95 zenon_H1e8 zenon_H116 zenon_H11b zenon_H79. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.79/1.02 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.79/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.79/1.02 apply (zenon_L301_); trivial. % 0.79/1.02 apply (zenon_L302_); trivial. % 0.79/1.02 (* end of lemma zenon_L303_ *) % 0.79/1.02 assert (zenon_L304_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H57 zenon_H9d zenon_H1ea zenon_H20b zenon_H1e8 zenon_H124 zenon_H79 zenon_H4a zenon_H144 zenon_Hfb zenon_Hf5 zenon_H132 zenon_H12f zenon_H142 zenon_H95 zenon_H28e zenon_H28b zenon_H11b zenon_H116 zenon_H154 zenon_H145 zenon_H147 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H43 zenon_H5d zenon_H1af zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H21. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.02 apply (zenon_L33_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.02 apply (zenon_L269_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.02 apply (zenon_L289_); trivial. % 0.86/1.02 apply (zenon_L299_); trivial. % 0.86/1.02 apply (zenon_L152_); trivial. % 0.86/1.02 apply (zenon_L303_); trivial. % 0.86/1.02 (* end of lemma zenon_L304_ *) % 0.86/1.02 assert (zenon_L305_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H74 zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H12f zenon_H142 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H95 zenon_H61 zenon_H62 zenon_H63 zenon_H28e zenon_H275 zenon_H184 zenon_H25b zenon_H25a zenon_H259 zenon_H28b zenon_H11b. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.02 apply (zenon_L298_); trivial. % 0.86/1.02 apply (zenon_L155_); trivial. % 0.86/1.02 (* end of lemma zenon_L305_ *) % 0.86/1.02 assert (zenon_L306_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H290 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hff zenon_H5d. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H291 ]. % 0.86/1.02 apply (zenon_L151_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H100 | zenon_intro zenon_H5e ]. % 0.86/1.02 exact (zenon_Hff zenon_H100). % 0.86/1.02 exact (zenon_H5d zenon_H5e). % 0.86/1.02 (* end of lemma zenon_L306_ *) % 0.86/1.02 assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H1ae zenon_H11b zenon_H116 zenon_H61 zenon_H62 zenon_H63 zenon_H4d zenon_H4e zenon_H20b zenon_H83 zenon_H82 zenon_H81 zenon_H5d zenon_H290. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.02 apply (zenon_L306_); trivial. % 0.86/1.02 apply (zenon_L207_); trivial. % 0.86/1.02 (* end of lemma zenon_L307_ *) % 0.86/1.02 assert (zenon_L308_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H5d zenon_H290 zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H95 zenon_H1e8 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.02 apply (zenon_L301_); trivial. % 0.86/1.02 apply (zenon_L307_); trivial. % 0.86/1.02 (* end of lemma zenon_L308_ *) % 0.86/1.02 assert (zenon_L309_ : ((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H210 zenon_H5a zenon_H9d zenon_H1ea zenon_H1e8 zenon_H124 zenon_H4a zenon_H144 zenon_Hfb zenon_Hf5 zenon_H132 zenon_H12f zenon_H142 zenon_H28e zenon_H28b zenon_H11b zenon_H95 zenon_H154 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H290 zenon_H20b zenon_H116 zenon_H1b3 zenon_H1d zenon_H21 zenon_H5f zenon_H5d zenon_H61 zenon_H62 zenon_H63 zenon_H75 zenon_H79. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.02 apply (zenon_L32_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.02 apply (zenon_L33_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.02 apply (zenon_L269_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.02 apply (zenon_L300_); trivial. % 0.86/1.02 apply (zenon_L305_); trivial. % 0.86/1.02 apply (zenon_L307_); trivial. % 0.86/1.02 apply (zenon_L308_); trivial. % 0.86/1.02 (* end of lemma zenon_L309_ *) % 0.86/1.02 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp0)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H125 zenon_H20e zenon_H290 zenon_H79 zenon_H75 zenon_H5d zenon_H5f zenon_H21 zenon_H1d zenon_H1b3 zenon_H1af zenon_H43 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_H16f zenon_H275 zenon_H147 zenon_H154 zenon_H116 zenon_H11b zenon_H28b zenon_H28e zenon_H95 zenon_H142 zenon_H12f zenon_H132 zenon_Hf5 zenon_Hfb zenon_H144 zenon_H4a zenon_H124 zenon_H1e8 zenon_H20b zenon_H1ea zenon_H9d zenon_H5a. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.02 apply (zenon_L32_); trivial. % 0.86/1.02 apply (zenon_L304_); trivial. % 0.86/1.02 apply (zenon_L309_); trivial. % 0.86/1.02 (* end of lemma zenon_L310_ *) % 0.86/1.02 assert (zenon_L311_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp7)) -> ((hskp7)\/((hskp14)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H128 zenon_H290 zenon_H5d zenon_H5f zenon_H1af zenon_H43 zenon_H28e zenon_H95 zenon_H142 zenon_H12f zenon_H132 zenon_H20b zenon_H5a zenon_H55 zenon_H123 zenon_H32 zenon_H2e zenon_H1b zenon_H1d zenon_H21 zenon_H1 zenon_H7 zenon_H1b3 zenon_H37 zenon_H147 zenon_H144 zenon_H116 zenon_H11b zenon_H4a zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_H16f zenon_Hfb zenon_H12e zenon_H28a zenon_H275 zenon_Hf5 zenon_H28b zenon_H154 zenon_H28c zenon_H75 zenon_H79 zenon_H124 zenon_H1e8 zenon_H1ea zenon_H9d zenon_H20e. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.02 apply (zenon_L267_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.02 apply (zenon_L4_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.02 apply (zenon_L283_); trivial. % 0.86/1.02 apply (zenon_L288_); trivial. % 0.86/1.02 apply (zenon_L292_); trivial. % 0.86/1.02 apply (zenon_L24_); trivial. % 0.86/1.02 apply (zenon_L295_); trivial. % 0.86/1.02 apply (zenon_L310_); trivial. % 0.86/1.02 (* end of lemma zenon_L311_ *) % 0.86/1.02 assert (zenon_L312_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H3 zenon_H103 zenon_H101 zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hdf zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H5 zenon_H1b zenon_H4c zenon_H4d zenon_H4e zenon_He1 zenon_H1d zenon_H2e zenon_H32 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.02 apply (zenon_L269_); trivial. % 0.86/1.02 apply (zenon_L79_); trivial. % 0.86/1.02 (* end of lemma zenon_L312_ *) % 0.86/1.02 assert (zenon_L313_ : (forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81)))))) -> (ndr1_0) -> (~(c3_1 (a731))) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (c2_1 (a731)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H39 zenon_Ha zenon_H1e0 zenon_H149 zenon_H1e1. % 0.86/1.02 generalize (zenon_H39 (a731)). zenon_intro zenon_H292. % 0.86/1.02 apply (zenon_imply_s _ _ zenon_H292); [ zenon_intro zenon_H9 | zenon_intro zenon_H293 ]. % 0.86/1.02 exact (zenon_H9 zenon_Ha). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H294 ]. % 0.86/1.02 exact (zenon_H1e0 zenon_H1e7). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H295 | zenon_intro zenon_H1e6 ]. % 0.86/1.02 generalize (zenon_H149 (a731)). zenon_intro zenon_H296. % 0.86/1.02 apply (zenon_imply_s _ _ zenon_H296); [ zenon_intro zenon_H9 | zenon_intro zenon_H297 ]. % 0.86/1.02 exact (zenon_H9 zenon_Ha). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H298 | zenon_intro zenon_H1e4 ]. % 0.86/1.02 exact (zenon_H295 zenon_H298). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ]. % 0.86/1.02 exact (zenon_H1e0 zenon_H1e7). % 0.86/1.02 exact (zenon_H1e6 zenon_H1e1). % 0.86/1.02 exact (zenon_H1e6 zenon_H1e1). % 0.86/1.02 (* end of lemma zenon_L313_ *) % 0.86/1.02 assert (zenon_L314_ : ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> (c2_1 (a731)) -> (forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74)))))) -> (~(c3_1 (a731))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp0)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H46 zenon_H1e1 zenon_H149 zenon_H1e0 zenon_Ha zenon_H5 zenon_H43. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H39 | zenon_intro zenon_H49 ]. % 0.86/1.02 apply (zenon_L313_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H6 | zenon_intro zenon_H44 ]. % 0.86/1.02 exact (zenon_H5 zenon_H6). % 0.86/1.02 exact (zenon_H43 zenon_H44). % 0.86/1.02 (* end of lemma zenon_L314_ *) % 0.86/1.02 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(hskp13)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H1eb zenon_H1c1 zenon_H43 zenon_H5 zenon_H46 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H1bf. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H149 | zenon_intro zenon_H1c2 ]. % 0.86/1.02 apply (zenon_L314_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfc | zenon_intro zenon_H1c0 ]. % 0.86/1.02 apply (zenon_L67_); trivial. % 0.86/1.02 exact (zenon_H1bf zenon_H1c0). % 0.86/1.02 (* end of lemma zenon_L315_ *) % 0.86/1.02 assert (zenon_L316_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp13)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H123 zenon_H1f zenon_H21 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H103 zenon_H101 zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hdf zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H5 zenon_H1b zenon_H4c zenon_H4d zenon_H4e zenon_He1 zenon_H1d zenon_H2e zenon_H32 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H46 zenon_H43 zenon_H1bf zenon_H1c1 zenon_H1ea. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.02 apply (zenon_L312_); trivial. % 0.86/1.02 apply (zenon_L315_); trivial. % 0.86/1.02 apply (zenon_L80_); trivial. % 0.86/1.02 (* end of lemma zenon_L316_ *) % 0.86/1.02 assert (zenon_L317_ : (forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81)))))) -> (ndr1_0) -> (~(c3_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H39 zenon_Ha zenon_H1e0 zenon_H80 zenon_H1df zenon_H1e1. % 0.86/1.02 generalize (zenon_H39 (a731)). zenon_intro zenon_H292. % 0.86/1.02 apply (zenon_imply_s _ _ zenon_H292); [ zenon_intro zenon_H9 | zenon_intro zenon_H293 ]. % 0.86/1.02 exact (zenon_H9 zenon_Ha). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H294 ]. % 0.86/1.02 exact (zenon_H1e0 zenon_H1e7). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H295 | zenon_intro zenon_H1e6 ]. % 0.86/1.02 generalize (zenon_H80 (a731)). zenon_intro zenon_H299. % 0.86/1.02 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_H9 | zenon_intro zenon_H29a ]. % 0.86/1.02 exact (zenon_H9 zenon_Ha). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H29b ]. % 0.86/1.02 exact (zenon_H1df zenon_H1e5). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H298 | zenon_intro zenon_H1e6 ]. % 0.86/1.02 exact (zenon_H295 zenon_H298). % 0.86/1.02 exact (zenon_H1e6 zenon_H1e1). % 0.86/1.02 exact (zenon_H1e6 zenon_H1e1). % 0.86/1.02 (* end of lemma zenon_L317_ *) % 0.86/1.02 assert (zenon_L318_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c3_1 (a731))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a721))) -> (ndr1_0) -> False). % 0.86/1.02 do 0 intro. intros zenon_H144 zenon_H1e1 zenon_H1df zenon_H80 zenon_H1e0 zenon_H4e zenon_H4c zenon_H8a zenon_H4d zenon_Ha. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.86/1.02 apply (zenon_L43_); trivial. % 0.86/1.02 apply (zenon_L317_); trivial. % 0.86/1.02 (* end of lemma zenon_L318_ *) % 0.86/1.02 assert (zenon_L319_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> (~(c3_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.86/1.02 do 0 intro. intros zenon_Hab zenon_Ha zenon_H4d zenon_H4c zenon_H4e zenon_H1e0 zenon_H80 zenon_H1df zenon_H1e1 zenon_H144 zenon_H7c zenon_Ha7. % 0.86/1.02 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H8a | zenon_intro zenon_Hac ]. % 0.86/1.02 apply (zenon_L318_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha8 ]. % 0.86/1.02 exact (zenon_H7c zenon_H7d). % 0.86/1.02 exact (zenon_Ha7 zenon_Ha8). % 0.86/1.02 (* end of lemma zenon_L319_ *) % 0.86/1.02 assert (zenon_L320_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (~(c0_1 (a727))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (c3_1 (a727)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H23 zenon_Ha zenon_H1cb zenon_H4b zenon_H1cd. % 0.86/1.02 generalize (zenon_H23 (a727)). zenon_intro zenon_H29c. % 0.86/1.02 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H9 | zenon_intro zenon_H29d ]. % 0.86/1.02 exact (zenon_H9 zenon_Ha). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H29e ]. % 0.86/1.02 exact (zenon_H1cb zenon_H1d1). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29f | zenon_intro zenon_H1d2 ]. % 0.86/1.02 generalize (zenon_H4b (a727)). zenon_intro zenon_H2a0. % 0.86/1.02 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a1 ]. % 0.86/1.02 exact (zenon_H9 zenon_Ha). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H2a2 ]. % 0.86/1.02 exact (zenon_H1cb zenon_H1d1). % 0.86/1.02 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H1d2 ]. % 0.86/1.02 exact (zenon_H29f zenon_H2a3). % 0.86/1.02 exact (zenon_H1d2 zenon_H1cd). % 0.86/1.02 exact (zenon_H1d2 zenon_H1cd). % 0.86/1.02 (* end of lemma zenon_L320_ *) % 0.86/1.02 assert (zenon_L321_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (c3_1 (a727)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (~(c0_1 (a727))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H2e zenon_H1cd zenon_H4b zenon_H1cb zenon_Ha zenon_H1d zenon_H5. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H23 | zenon_intro zenon_H31 ]. % 0.86/1.02 apply (zenon_L320_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H1e | zenon_intro zenon_H6 ]. % 0.86/1.02 exact (zenon_H1d zenon_H1e). % 0.86/1.02 exact (zenon_H5 zenon_H6). % 0.86/1.02 (* end of lemma zenon_L321_ *) % 0.86/1.02 assert (zenon_L322_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp22)) -> False). % 0.86/1.02 do 0 intro. intros zenon_H2a4 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hd4 zenon_Ha zenon_H184 zenon_H33. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H2a5 ]. % 0.86/1.02 apply (zenon_L56_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H185 | zenon_intro zenon_H34 ]. % 0.86/1.02 exact (zenon_H184 zenon_H185). % 0.86/1.02 exact (zenon_H33 zenon_H34). % 0.86/1.02 (* end of lemma zenon_L322_ *) % 0.86/1.02 assert (zenon_L323_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp22)) -> False). % 0.86/1.02 do 0 intro. intros zenon_He1 zenon_H8a zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H4e zenon_H4d zenon_H4c zenon_H2a4 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_H184 zenon_H33. % 0.86/1.02 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.02 apply (zenon_L318_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.02 apply (zenon_L22_); trivial. % 0.86/1.02 apply (zenon_L322_); trivial. % 0.86/1.02 (* end of lemma zenon_L323_ *) % 0.86/1.02 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp17)) -> (~(hskp21)) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H45 zenon_H95 zenon_Ha7 zenon_H7c zenon_H1e1 zenon_H1df zenon_H1e0 zenon_Hab zenon_H144 zenon_H4e zenon_H4c zenon_H4d. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.02 apply (zenon_L319_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.02 apply (zenon_L22_); trivial. % 0.86/1.02 apply (zenon_L98_); trivial. % 0.86/1.02 (* end of lemma zenon_L324_ *) % 0.86/1.02 assert (zenon_L325_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (~(hskp16)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c0_1 (a727))) -> (c3_1 (a727)) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H9a zenon_H95 zenon_H2a4 zenon_H184 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_He1 zenon_H1cb zenon_H1cd zenon_H1d zenon_H5 zenon_H2e zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H4e zenon_H4c zenon_H4d zenon_Ha zenon_Ha7 zenon_Hab zenon_H4a. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.02 apply (zenon_L319_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.02 apply (zenon_L321_); trivial. % 0.86/1.02 apply (zenon_L323_); trivial. % 0.86/1.02 apply (zenon_L324_); trivial. % 0.86/1.02 apply (zenon_L49_); trivial. % 0.86/1.02 (* end of lemma zenon_L325_ *) % 0.86/1.02 assert (zenon_L326_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H79 zenon_H11b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H154 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H16f. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.02 apply (zenon_L300_); trivial. % 0.86/1.02 apply (zenon_L177_); trivial. % 0.86/1.02 (* end of lemma zenon_L326_ *) % 0.86/1.02 assert (zenon_L327_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H118 zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H20b zenon_H25 zenon_H26 zenon_H24 zenon_H1a6 zenon_H1a7 zenon_H1a5 zenon_H116 zenon_H95 zenon_H83 zenon_H82 zenon_H81 zenon_H4e zenon_H4d zenon_H4c. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.86/1.02 apply (zenon_L61_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.02 apply (zenon_L37_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.86/1.02 apply (zenon_L137_); trivial. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.86/1.02 apply (zenon_L204_); trivial. % 0.86/1.02 apply (zenon_L205_); trivial. % 0.86/1.02 apply (zenon_L75_); trivial. % 0.86/1.02 apply (zenon_L94_); trivial. % 0.86/1.02 (* end of lemma zenon_L327_ *) % 0.86/1.02 assert (zenon_L328_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H2d zenon_H11b zenon_H142 zenon_H95 zenon_H81 zenon_H82 zenon_H83 zenon_H20b zenon_H1a6 zenon_H1a7 zenon_H1a5 zenon_H116 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.02 apply (zenon_L69_); trivial. % 0.86/1.02 apply (zenon_L327_); trivial. % 0.86/1.02 (* end of lemma zenon_L328_ *) % 0.86/1.02 assert (zenon_L329_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H11c zenon_H32 zenon_H11b zenon_H142 zenon_H20b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1f0 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H5 zenon_H1b zenon_H1fe. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.02 apply (zenon_L193_); trivial. % 0.86/1.02 apply (zenon_L328_); trivial. % 0.86/1.02 (* end of lemma zenon_L329_ *) % 0.86/1.02 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H32 zenon_H11b zenon_H142 zenon_H20b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H1f0 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H5 zenon_H1b zenon_H1fe zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.02 apply (zenon_L269_); trivial. % 0.86/1.02 apply (zenon_L329_); trivial. % 0.86/1.02 (* end of lemma zenon_L330_ *) % 0.86/1.02 assert (zenon_L331_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H1b3 zenon_H124 zenon_H32 zenon_H142 zenon_H20b zenon_H1f0 zenon_H5 zenon_H1b zenon_H1fe zenon_H1d4 zenon_H262 zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H95 zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.02 apply (zenon_L326_); trivial. % 0.86/1.02 apply (zenon_L330_); trivial. % 0.86/1.02 (* end of lemma zenon_L331_ *) % 0.86/1.02 assert (zenon_L332_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H79 zenon_H11b zenon_H116 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H1fe zenon_H1b zenon_H5 zenon_Ha zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H1f0 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H95 zenon_Ha7 zenon_H18c zenon_H32. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.02 apply (zenon_L195_); trivial. % 0.86/1.02 apply (zenon_L182_); trivial. % 0.86/1.02 (* end of lemma zenon_L332_ *) % 0.86/1.02 assert (zenon_L333_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> False). % 0.86/1.02 do 0 intro. intros zenon_H99 zenon_H1ea zenon_H18c zenon_H1e8 zenon_H79 zenon_H11b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H154 zenon_H4e zenon_H4d zenon_H4c zenon_H259 zenon_H25a zenon_H25b zenon_H275 zenon_H16f zenon_H262 zenon_H1fe zenon_H1b zenon_H5 zenon_H1f0 zenon_H20b zenon_H142 zenon_H32 zenon_H124 zenon_H1b3. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.02 apply (zenon_L331_); trivial. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.02 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L326_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L332_); trivial. % 0.86/1.03 apply (zenon_L329_); trivial. % 0.86/1.03 (* end of lemma zenon_L333_ *) % 0.86/1.03 assert (zenon_L334_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a727))/\((~(c0_1 (a727)))/\(~(c2_1 (a727))))))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H5a zenon_H9d zenon_H18c zenon_H1e8 zenon_H154 zenon_H275 zenon_H16f zenon_H1fe zenon_H1f0 zenon_H20b zenon_H142 zenon_H123 zenon_H21 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H103 zenon_H101 zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hdf zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H1b zenon_He1 zenon_H1d zenon_H2e zenon_H32 zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H1c1 zenon_H1ea zenon_H1b3 zenon_H1af zenon_H5d zenon_H9a zenon_H95 zenon_H2a4 zenon_H144 zenon_Hab zenon_H1ff zenon_H37 zenon_H5 zenon_H43 zenon_H46 zenon_H4a. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.03 apply (zenon_L21_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H1bf | zenon_intro zenon_H200 ]. % 0.86/1.03 apply (zenon_L316_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H201. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1cd. zenon_intro zenon_H202. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.03 apply (zenon_L312_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L325_); trivial. % 0.86/1.03 apply (zenon_L79_); trivial. % 0.86/1.03 apply (zenon_L152_); trivial. % 0.86/1.03 apply (zenon_L80_); trivial. % 0.86/1.03 apply (zenon_L333_); trivial. % 0.86/1.03 (* end of lemma zenon_L334_ *) % 0.86/1.03 assert (zenon_L335_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H83 zenon_H82 zenon_H81 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H16f. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.86/1.03 apply (zenon_L231_); trivial. % 0.86/1.03 apply (zenon_L279_); trivial. % 0.86/1.03 apply (zenon_L232_); trivial. % 0.86/1.03 (* end of lemma zenon_L335_ *) % 0.86/1.03 assert (zenon_L336_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H83 zenon_H82 zenon_H81 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H184 zenon_H275 zenon_H16f zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L269_); trivial. % 0.86/1.03 apply (zenon_L335_); trivial. % 0.86/1.03 (* end of lemma zenon_L336_ *) % 0.86/1.03 assert (zenon_L337_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H1b3 zenon_H32 zenon_H2e zenon_H1d zenon_H1b zenon_He zenon_Hc zenon_H75 zenon_H37 zenon_H35 zenon_H5 zenon_H147 zenon_H145 zenon_H144 zenon_H4a zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H16f zenon_H275 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L336_); trivial. % 0.86/1.03 apply (zenon_L288_); trivial. % 0.86/1.03 (* end of lemma zenon_L337_ *) % 0.86/1.03 assert (zenon_L338_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> (ndr1_0) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H186 zenon_Ha7 zenon_H184 zenon_H122 zenon_He zenon_Hc zenon_Ha zenon_H18c. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.03 apply (zenon_L128_); trivial. % 0.86/1.03 apply (zenon_L182_); trivial. % 0.86/1.03 (* end of lemma zenon_L338_ *) % 0.86/1.03 assert (zenon_L339_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> (~(c2_1 (a730))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H28c zenon_H154 zenon_H28b zenon_Hf5 zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H83 zenon_H82 zenon_H81 zenon_H28a zenon_He zenon_H122 zenon_Hc zenon_H1 zenon_H12e zenon_Hfb zenon_H16f. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.03 apply (zenon_L280_); trivial. % 0.86/1.03 apply (zenon_L232_); trivial. % 0.86/1.03 (* end of lemma zenon_L339_ *) % 0.86/1.03 assert (zenon_L340_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a730))) -> (c1_1 (a730)) -> (c3_1 (a730)) -> (~(hskp16)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H124 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H28c zenon_H154 zenon_H28b zenon_Hf5 zenon_H259 zenon_H25a zenon_H25b zenon_H275 zenon_H28a zenon_H1 zenon_H12e zenon_Hfb zenon_H16f zenon_H18c zenon_Ha zenon_Hc zenon_He zenon_H122 zenon_H184 zenon_H186 zenon_H1e8 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H81 zenon_H82 zenon_H83 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L338_); trivial. % 0.86/1.03 apply (zenon_L339_); trivial. % 0.86/1.03 (* end of lemma zenon_L340_ *) % 0.86/1.03 assert (zenon_L341_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a730)) -> (c1_1 (a730)) -> (~(c2_1 (a730))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> (~(hskp7)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H37 zenon_H35 zenon_H5 zenon_H147 zenon_H145 zenon_H144 zenon_H4a zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H1e8 zenon_H186 zenon_H122 zenon_He zenon_Hc zenon_H18c zenon_H16f zenon_Hfb zenon_H12e zenon_H1 zenon_H28a zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_Hf5 zenon_H28b zenon_H154 zenon_H28c zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H124. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L340_); trivial. % 0.86/1.03 apply (zenon_L291_); trivial. % 0.86/1.03 (* end of lemma zenon_L341_ *) % 0.86/1.03 assert (zenon_L342_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(hskp7)) -> (~(hskp8)) -> ((hskp7)\/((hskp14)\/(hskp8))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H99 zenon_H123 zenon_H1ea zenon_H1e8 zenon_H186 zenon_H18c zenon_Hfb zenon_H12e zenon_H28a zenon_Hf5 zenon_H28b zenon_H28c zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H4a zenon_H144 zenon_H145 zenon_H147 zenon_H35 zenon_H37 zenon_H75 zenon_H1b zenon_H1d zenon_H2e zenon_H32 zenon_H1b3 zenon_H1 zenon_H5 zenon_H7. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.03 apply (zenon_L4_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.03 apply (zenon_L337_); trivial. % 0.86/1.03 apply (zenon_L341_); trivial. % 0.86/1.03 (* end of lemma zenon_L342_ *) % 0.86/1.03 assert (zenon_L343_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((hskp7)\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp1)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H20e zenon_H9d zenon_H1ea zenon_H1e8 zenon_H186 zenon_H18c zenon_Hfb zenon_H12e zenon_H28a zenon_Hf5 zenon_H28b zenon_H28c zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H4a zenon_H144 zenon_H147 zenon_H37 zenon_H75 zenon_H1b3 zenon_H7 zenon_H5 zenon_H1 zenon_H21 zenon_H1d zenon_H1b zenon_H2e zenon_H32 zenon_H123 zenon_H55 zenon_H5a. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.03 apply (zenon_L267_); trivial. % 0.86/1.03 apply (zenon_L342_); trivial. % 0.86/1.03 apply (zenon_L24_); trivial. % 0.86/1.03 apply (zenon_L295_); trivial. % 0.86/1.03 (* end of lemma zenon_L343_ *) % 0.86/1.03 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp11)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (c0_1 (a732)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H118 zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H35 zenon_H1a5 zenon_H1a7 zenon_H61 zenon_H62 zenon_H63 zenon_H75 zenon_H1a6 zenon_H20b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.03 apply (zenon_L37_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.03 apply (zenon_L228_); trivial. % 0.86/1.03 apply (zenon_L75_); trivial. % 0.86/1.03 (* end of lemma zenon_L344_ *) % 0.86/1.03 assert (zenon_L345_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H11c zenon_H11b zenon_H116 zenon_H61 zenon_H62 zenon_H63 zenon_H1a5 zenon_H1a7 zenon_H1a6 zenon_H75 zenon_H35 zenon_H20b zenon_H83 zenon_H82 zenon_H81 zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.03 apply (zenon_L219_); trivial. % 0.86/1.03 apply (zenon_L344_); trivial. % 0.86/1.03 (* end of lemma zenon_L345_ *) % 0.86/1.03 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H11b zenon_H116 zenon_H61 zenon_H62 zenon_H63 zenon_H75 zenon_H35 zenon_H20b zenon_H83 zenon_H82 zenon_H81 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L269_); trivial. % 0.86/1.03 apply (zenon_L345_); trivial. % 0.86/1.03 (* end of lemma zenon_L346_ *) % 0.86/1.03 assert (zenon_L347_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H75 zenon_H35 zenon_H20b zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H16f zenon_H275 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L336_); trivial. % 0.86/1.03 apply (zenon_L346_); trivial. % 0.86/1.03 (* end of lemma zenon_L347_ *) % 0.86/1.03 assert (zenon_L348_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H147 zenon_H145 zenon_H81 zenon_H82 zenon_H83 zenon_H20b zenon_H35 zenon_H75 zenon_H63 zenon_H62 zenon_H61 zenon_H116 zenon_H11b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.03 apply (zenon_L102_); trivial. % 0.86/1.03 apply (zenon_L344_); trivial. % 0.86/1.03 apply (zenon_L182_); trivial. % 0.86/1.03 (* end of lemma zenon_L348_ *) % 0.86/1.03 assert (zenon_L349_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (ndr1_0) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H9d zenon_H1ea zenon_H147 zenon_H145 zenon_H1e8 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H20b zenon_H35 zenon_H75 zenon_H1b3 zenon_Ha zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H21. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.03 apply (zenon_L33_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.03 apply (zenon_L347_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L290_); trivial. % 0.86/1.03 apply (zenon_L348_); trivial. % 0.86/1.03 (* end of lemma zenon_L349_ *) % 0.86/1.03 assert (zenon_L350_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H11c zenon_H11b zenon_H28b zenon_Hf5 zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H28e zenon_H63 zenon_H62 zenon_H61 zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H142 zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.03 apply (zenon_L219_); trivial. % 0.86/1.03 apply (zenon_L297_); trivial. % 0.86/1.03 (* end of lemma zenon_L350_ *) % 0.86/1.03 assert (zenon_L351_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H124 zenon_H11b zenon_H28b zenon_Hf5 zenon_H184 zenon_H275 zenon_H28e zenon_H63 zenon_H62 zenon_H61 zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H142 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L269_); trivial. % 0.86/1.03 apply (zenon_L350_); trivial. % 0.86/1.03 (* end of lemma zenon_L351_ *) % 0.86/1.03 assert (zenon_L352_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H11c zenon_H11b zenon_H116 zenon_H61 zenon_H62 zenon_H63 zenon_H1a5 zenon_H1a7 zenon_H1a6 zenon_H4d zenon_H4e zenon_H20b zenon_H83 zenon_H82 zenon_H81 zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.03 apply (zenon_L219_); trivial. % 0.86/1.03 apply (zenon_L207_); trivial. % 0.86/1.03 (* end of lemma zenon_L352_ *) % 0.86/1.03 assert (zenon_L353_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H1b3 zenon_H116 zenon_H20b zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H142 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H95 zenon_H61 zenon_H62 zenon_H63 zenon_H28e zenon_H275 zenon_Hf5 zenon_H28b zenon_H11b zenon_H124. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L351_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L269_); trivial. % 0.86/1.03 apply (zenon_L352_); trivial. % 0.86/1.03 (* end of lemma zenon_L353_ *) % 0.86/1.03 assert (zenon_L354_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H57 zenon_H9d zenon_H1ea zenon_H16f zenon_H154 zenon_H1e8 zenon_H79 zenon_H124 zenon_H11b zenon_H28b zenon_Hf5 zenon_H275 zenon_H28e zenon_H95 zenon_H142 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H20b zenon_H116 zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H21. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.03 apply (zenon_L33_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.03 apply (zenon_L353_); trivial. % 0.86/1.03 apply (zenon_L303_); trivial. % 0.86/1.03 (* end of lemma zenon_L354_ *) % 0.86/1.03 assert (zenon_L355_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> (~(hskp24)) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> (ndr1_0) -> False). % 0.86/1.03 do 0 intro. intros zenon_H144 zenon_H1e0 zenon_H1e1 zenon_H152 zenon_H5b zenon_H154 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Ha. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.86/1.03 apply (zenon_L154_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H149 | zenon_intro zenon_H155 ]. % 0.86/1.03 apply (zenon_L313_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H153 | zenon_intro zenon_H5c ]. % 0.86/1.03 exact (zenon_H152 zenon_H153). % 0.86/1.03 exact (zenon_H5b zenon_H5c). % 0.86/1.03 (* end of lemma zenon_L355_ *) % 0.86/1.03 assert (zenon_L356_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H16f zenon_H275 zenon_H184 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H154 zenon_H5b zenon_H1e1 zenon_H1e0 zenon_H144. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.86/1.03 apply (zenon_L355_); trivial. % 0.86/1.03 apply (zenon_L279_); trivial. % 0.86/1.03 (* end of lemma zenon_L356_ *) % 0.86/1.03 assert (zenon_L357_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H79 zenon_H75 zenon_H35 zenon_H63 zenon_H62 zenon_H61 zenon_H144 zenon_H1e0 zenon_H1e1 zenon_H154 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H16f. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.03 apply (zenon_L356_); trivial. % 0.86/1.03 apply (zenon_L31_); trivial. % 0.86/1.03 (* end of lemma zenon_L357_ *) % 0.86/1.03 assert (zenon_L358_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (ndr1_0) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H9d zenon_H1ea zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H144 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H20b zenon_H35 zenon_H75 zenon_H1b3 zenon_Ha zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H21. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.03 apply (zenon_L33_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.03 apply (zenon_L347_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L357_); trivial. % 0.86/1.03 apply (zenon_L229_); trivial. % 0.86/1.03 (* end of lemma zenon_L358_ *) % 0.86/1.03 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H125 zenon_H20e zenon_H144 zenon_H9d zenon_H1ea zenon_H147 zenon_H1e8 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H20b zenon_H75 zenon_H1b3 zenon_H1d zenon_H21 zenon_H142 zenon_H95 zenon_H28e zenon_Hf5 zenon_H28b zenon_H5a. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.03 apply (zenon_L349_); trivial. % 0.86/1.03 apply (zenon_L354_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.03 apply (zenon_L358_); trivial. % 0.86/1.03 apply (zenon_L354_); trivial. % 0.86/1.03 (* end of lemma zenon_L359_ *) % 0.86/1.03 assert (zenon_L360_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (c3_1 (a727)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (~(c0_1 (a727))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp17)) -> False). % 0.86/1.03 do 0 intro. intros zenon_H18c zenon_H1cd zenon_H4b zenon_H1cb zenon_Ha zenon_H5b zenon_Ha7. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H23 | zenon_intro zenon_H18d ]. % 0.86/1.03 apply (zenon_L320_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5c | zenon_intro zenon_Ha8 ]. % 0.86/1.03 exact (zenon_H5b zenon_H5c). % 0.86/1.03 exact (zenon_Ha7 zenon_Ha8). % 0.86/1.03 (* end of lemma zenon_L360_ *) % 0.86/1.03 assert (zenon_L361_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (c3_1 (a727)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (~(c0_1 (a727))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> (c2_1 (a709)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.86/1.03 do 0 intro. intros zenon_H140 zenon_H1cd zenon_H4b zenon_H1cb zenon_H10d zenon_H10f zenon_H10e zenon_H8a zenon_Ha zenon_H19. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H23 | zenon_intro zenon_H141 ]. % 0.86/1.03 apply (zenon_L320_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13b | zenon_intro zenon_H1a ]. % 0.86/1.03 apply (zenon_L92_); trivial. % 0.86/1.03 exact (zenon_H19 zenon_H1a). % 0.86/1.03 (* end of lemma zenon_L361_ *) % 0.86/1.03 assert (zenon_L362_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))) -> (ndr1_0) -> (c0_1 (a714)) -> (c2_1 (a714)) -> (c3_1 (a714)) -> False). % 0.86/1.03 do 0 intro. intros zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hd4 zenon_Ha zenon_Heb zenon_Hec zenon_Hed. % 0.86/1.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.03 apply (zenon_L211_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.03 apply (zenon_L56_); trivial. % 0.86/1.03 apply (zenon_L64_); trivial. % 0.86/1.03 (* end of lemma zenon_L362_ *) % 0.86/1.03 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp17)) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> (~(hskp8)) -> (~(hskp1)) -> (~(c0_1 (a727))) -> (c3_1 (a727)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> False). % 0.86/1.03 do 0 intro. intros zenon_Hf4 zenon_He1 zenon_Ha7 zenon_H7c zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H4e zenon_H4c zenon_H4d zenon_Hab zenon_H5 zenon_H1d zenon_H1cb zenon_H1cd zenon_H2e zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hc5 zenon_Hce zenon_Hc4. % 0.86/1.03 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.03 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.03 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.03 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.03 apply (zenon_L319_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.03 apply (zenon_L321_); trivial. % 0.86/1.03 apply (zenon_L362_); trivial. % 0.86/1.03 (* end of lemma zenon_L363_ *) % 0.86/1.03 assert (zenon_L364_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.03 do 0 intro. intros zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hd4 zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.03 apply (zenon_L211_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.03 apply (zenon_L56_); trivial. % 0.86/1.03 apply (zenon_L73_); trivial. % 0.86/1.03 (* end of lemma zenon_L364_ *) % 0.86/1.03 assert (zenon_L365_ : (~(hskp20)) -> (hskp20) -> False). % 0.86/1.03 do 0 intro. intros zenon_H2a6 zenon_H2a7. % 0.86/1.03 exact (zenon_H2a6 zenon_H2a7). % 0.86/1.03 (* end of lemma zenon_L365_ *) % 0.86/1.03 assert (zenon_L366_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (c1_1 (a709)) -> (c2_1 (a709)) -> (c3_1 (a709)) -> False). % 0.86/1.03 do 0 intro. intros zenon_H116 zenon_Hd4 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_H10d zenon_H10e zenon_H10f. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.03 apply (zenon_L364_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.03 apply (zenon_L30_); trivial. % 0.86/1.03 apply (zenon_L75_); trivial. % 0.86/1.03 (* end of lemma zenon_L366_ *) % 0.86/1.03 assert (zenon_L367_ : (forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93)))))) -> (ndr1_0) -> (~(c2_1 (a747))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (c1_1 (a747)) -> False). % 0.86/1.03 do 0 intro. intros zenon_Hb zenon_Ha zenon_H2a8 zenon_Hd zenon_H2a9. % 0.86/1.03 generalize (zenon_Hb (a747)). zenon_intro zenon_H2aa. % 0.86/1.03 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ab ]. % 0.86/1.03 exact (zenon_H9 zenon_Ha). % 0.86/1.03 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ac ]. % 0.86/1.03 exact (zenon_H2a8 zenon_H2ad). % 0.86/1.03 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.86/1.03 generalize (zenon_Hd (a747)). zenon_intro zenon_H2b0. % 0.86/1.03 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b1 ]. % 0.86/1.03 exact (zenon_H9 zenon_Ha). % 0.86/1.03 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b2 ]. % 0.86/1.03 exact (zenon_H2af zenon_H2b3). % 0.86/1.03 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ae ]. % 0.86/1.03 exact (zenon_H2a8 zenon_H2ad). % 0.86/1.03 exact (zenon_H2ae zenon_H2a9). % 0.86/1.03 exact (zenon_H2ae zenon_H2a9). % 0.86/1.03 (* end of lemma zenon_L367_ *) % 0.86/1.03 assert (zenon_L368_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (c1_1 (a747)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (~(c2_1 (a747))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.86/1.03 do 0 intro. intros zenon_H103 zenon_H6d zenon_H6c zenon_H6b zenon_H2a9 zenon_Hd zenon_H2a8 zenon_Ha zenon_H3. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H6a | zenon_intro zenon_H104 ]. % 0.86/1.03 apply (zenon_L30_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.86/1.03 apply (zenon_L367_); trivial. % 0.86/1.03 exact (zenon_H3 zenon_H4). % 0.86/1.03 (* end of lemma zenon_L368_ *) % 0.86/1.03 assert (zenon_L369_ : ((ndr1_0)/\((c1_1 (a747))/\((~(c2_1 (a747)))/\(~(c3_1 (a747)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp14)) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp1)) -> (~(hskp12)) -> False). % 0.86/1.03 do 0 intro. intros zenon_H2b4 zenon_H21 zenon_H3 zenon_H6b zenon_H6c zenon_H6d zenon_H103 zenon_H1d zenon_H1f. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2a9. zenon_intro zenon_H2b6. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a8. zenon_intro zenon_H2b7. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_Hd | zenon_intro zenon_H22 ]. % 0.86/1.03 apply (zenon_L368_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.86/1.03 exact (zenon_H1d zenon_H1e). % 0.86/1.03 exact (zenon_H1f zenon_H20). % 0.86/1.03 (* end of lemma zenon_L369_ *) % 0.86/1.03 assert (zenon_L370_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a747))/\((~(c2_1 (a747)))/\(~(c3_1 (a747))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c0_1 (a727))) -> (c3_1 (a727)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H79 zenon_H116 zenon_H2b8 zenon_H103 zenon_H3 zenon_H1f zenon_H21 zenon_H2b9 zenon_H9a zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H4e zenon_H4d zenon_H4c zenon_Ha zenon_H95 zenon_H140 zenon_Hdd zenon_He1 zenon_H1cb zenon_H1cd zenon_H18c zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_Ha7 zenon_Hab zenon_H2e zenon_H5 zenon_H1d zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hfb zenon_H11b zenon_H32. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.03 apply (zenon_L69_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.03 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.03 apply (zenon_L319_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.03 apply (zenon_L360_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.03 apply (zenon_L318_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.03 apply (zenon_L361_); trivial. % 0.86/1.03 apply (zenon_L58_); trivial. % 0.86/1.03 apply (zenon_L363_); trivial. % 0.86/1.03 apply (zenon_L49_); trivial. % 0.86/1.03 apply (zenon_L194_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2b4 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.03 apply (zenon_L69_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H8a | zenon_intro zenon_H2ba ]. % 0.86/1.03 apply (zenon_L318_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2a7 ]. % 0.86/1.03 apply (zenon_L364_); trivial. % 0.86/1.03 exact (zenon_H2a6 zenon_H2a7). % 0.86/1.03 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.03 apply (zenon_L22_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.03 apply (zenon_L318_); trivial. % 0.86/1.03 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.03 apply (zenon_L361_); trivial. % 0.86/1.03 apply (zenon_L366_); trivial. % 0.86/1.03 apply (zenon_L369_); trivial. % 0.86/1.03 apply (zenon_L13_); trivial. % 0.86/1.03 (* end of lemma zenon_L370_ *) % 0.86/1.03 assert (zenon_L371_ : ((ndr1_0)/\((c3_1 (a727))/\((~(c0_1 (a727)))/\(~(c2_1 (a727)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp14)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a747))/\((~(c2_1 (a747)))/\(~(c3_1 (a747))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H200 zenon_H123 zenon_H1d6 zenon_H79 zenon_H116 zenon_H2b8 zenon_H103 zenon_H1f zenon_H21 zenon_H2b9 zenon_H9a zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H4e zenon_H4d zenon_H4c zenon_H95 zenon_H140 zenon_Hdd zenon_He1 zenon_H18c zenon_H144 zenon_Hab zenon_H2e zenon_H5 zenon_H1d zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hfb zenon_H11b zenon_H32 zenon_H1b zenon_Hdf zenon_Hf5 zenon_H124 zenon_H1ea. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H201. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1cd. zenon_intro zenon_H202. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.03 apply (zenon_L172_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L370_); trivial. % 0.86/1.03 apply (zenon_L79_); trivial. % 0.86/1.03 apply (zenon_L80_); trivial. % 0.86/1.03 (* end of lemma zenon_L371_ *) % 0.86/1.03 assert (zenon_L372_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a721))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H2d zenon_H11b zenon_H142 zenon_H4c zenon_H95 zenon_H81 zenon_H82 zenon_H83 zenon_H20b zenon_H4e zenon_H4d zenon_H1a6 zenon_H1a7 zenon_H1a5 zenon_H116 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H215 zenon_H216 zenon_H217 zenon_H132. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.03 apply (zenon_L219_); trivial. % 0.86/1.03 apply (zenon_L327_); trivial. % 0.86/1.03 (* end of lemma zenon_L372_ *) % 0.86/1.03 assert (zenon_L373_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H11c zenon_H32 zenon_H11b zenon_H142 zenon_H20b zenon_H116 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H95 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1f0 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H5 zenon_H1b zenon_H1fe. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.03 apply (zenon_L193_); trivial. % 0.86/1.03 apply (zenon_L372_); trivial. % 0.86/1.03 (* end of lemma zenon_L373_ *) % 0.86/1.03 assert (zenon_L374_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H99 zenon_H1ea zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H18c zenon_H1e8 zenon_H79 zenon_H11b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H154 zenon_H4e zenon_H4d zenon_H4c zenon_H259 zenon_H25a zenon_H25b zenon_H275 zenon_H16f zenon_H262 zenon_H1fe zenon_H1b zenon_H5 zenon_H1f0 zenon_H20b zenon_H142 zenon_H32 zenon_H124 zenon_H1b3. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.03 apply (zenon_L331_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L301_); trivial. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.03 apply (zenon_L332_); trivial. % 0.86/1.03 apply (zenon_L373_); trivial. % 0.86/1.03 (* end of lemma zenon_L374_ *) % 0.86/1.03 assert (zenon_L375_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H99 zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H95 zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.03 apply (zenon_L326_); trivial. % 0.86/1.03 apply (zenon_L208_); trivial. % 0.86/1.03 (* end of lemma zenon_L375_ *) % 0.86/1.03 assert (zenon_L376_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.86/1.03 do 0 intro. intros zenon_H57 zenon_H9d zenon_H1b3 zenon_H20b zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H154 zenon_H95 zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H116 zenon_H11b zenon_H79 zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H21. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.03 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.03 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.03 apply (zenon_L33_); trivial. % 0.86/1.03 apply (zenon_L375_); trivial. % 0.86/1.03 (* end of lemma zenon_L376_ *) % 0.86/1.03 assert (zenon_L377_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H125 zenon_H20e zenon_H144 zenon_H9d zenon_H1ea zenon_H147 zenon_H1e8 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H20b zenon_H75 zenon_H1b3 zenon_H1d zenon_H21 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H5a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.04 apply (zenon_L349_); trivial. % 0.86/1.04 apply (zenon_L376_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.04 apply (zenon_L358_); trivial. % 0.86/1.04 apply (zenon_L376_); trivial. % 0.86/1.04 (* end of lemma zenon_L377_ *) % 0.86/1.04 assert (zenon_L378_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H2bb zenon_H2bc zenon_H2bd. % 0.86/1.04 generalize (zenon_Hd3 (a707)). zenon_intro zenon_H2be. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2be); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bf ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c0 ]. % 0.86/1.04 exact (zenon_H2bb zenon_H2c1). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c2 ]. % 0.86/1.04 exact (zenon_H2bc zenon_H2c3). % 0.86/1.04 exact (zenon_H2c2 zenon_H2bd). % 0.86/1.04 (* end of lemma zenon_L378_ *) % 0.86/1.04 assert (zenon_L379_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp22)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H2a4 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_H184 zenon_H33. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H2a5 ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H185 | zenon_intro zenon_H34 ]. % 0.86/1.04 exact (zenon_H184 zenon_H185). % 0.86/1.04 exact (zenon_H33 zenon_H34). % 0.86/1.04 (* end of lemma zenon_L379_ *) % 0.86/1.04 assert (zenon_L380_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp5)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))\/((hskp8)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H1b3 zenon_H1af zenon_H5d zenon_H2a4 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_H5 zenon_H43 zenon_H46 zenon_H4a. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L379_); trivial. % 0.86/1.04 apply (zenon_L20_); trivial. % 0.86/1.04 apply (zenon_L152_); trivial. % 0.86/1.04 (* end of lemma zenon_L380_ *) % 0.86/1.04 assert (zenon_L381_ : (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a756))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H245 zenon_Ha zenon_H3a zenon_H236 zenon_H3b zenon_H3c. % 0.86/1.04 generalize (zenon_H245 (a756)). zenon_intro zenon_H2c4. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c5 ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H40 | zenon_intro zenon_H2c6 ]. % 0.86/1.04 exact (zenon_H3a zenon_H40). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H42 ]. % 0.86/1.04 generalize (zenon_H236 (a756)). zenon_intro zenon_H2c8. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2c8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c9 ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2ca | zenon_intro zenon_H3f ]. % 0.86/1.04 exact (zenon_H2c7 zenon_H2ca). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.86/1.04 exact (zenon_H42 zenon_H3b). % 0.86/1.04 exact (zenon_H41 zenon_H3c). % 0.86/1.04 exact (zenon_H42 zenon_H3b). % 0.86/1.04 (* end of lemma zenon_L381_ *) % 0.86/1.04 assert (zenon_L382_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42)))))) -> (~(hskp28)) -> (~(hskp18)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H231 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H245 zenon_H170 zenon_H5b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.86/1.04 apply (zenon_L381_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H171 | zenon_intro zenon_H5c ]. % 0.86/1.04 exact (zenon_H170 zenon_H171). % 0.86/1.04 exact (zenon_H5b zenon_H5c). % 0.86/1.04 (* end of lemma zenon_L382_ *) % 0.86/1.04 assert (zenon_L383_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp28))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (~(hskp18)) -> (ndr1_0) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (~(hskp28)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H2cb zenon_H63 zenon_H62 zenon_H61 zenon_H5b zenon_Ha zenon_H3a zenon_H3b zenon_H3c zenon_H231 zenon_H170. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_Hd | zenon_intro zenon_H2cc ]. % 0.86/1.04 apply (zenon_L29_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H245 | zenon_intro zenon_H171 ]. % 0.86/1.04 apply (zenon_L382_); trivial. % 0.86/1.04 exact (zenon_H170 zenon_H171). % 0.86/1.04 (* end of lemma zenon_L383_ *) % 0.86/1.04 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H17e zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_H4e zenon_H4d. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.86/1.04 apply (zenon_L29_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd | zenon_intro zenon_H182 ]. % 0.86/1.04 apply (zenon_L29_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H6a | zenon_intro zenon_H174 ]. % 0.86/1.04 apply (zenon_L205_); trivial. % 0.86/1.04 apply (zenon_L120_); trivial. % 0.86/1.04 (* end of lemma zenon_L384_ *) % 0.86/1.04 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (~(hskp18)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp28))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H45 zenon_H183 zenon_H20b zenon_H4d zenon_H4e zenon_H17f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H61 zenon_H62 zenon_H63 zenon_H231 zenon_H5b zenon_H2cb. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.86/1.04 apply (zenon_L383_); trivial. % 0.86/1.04 apply (zenon_L384_); trivial. % 0.86/1.04 (* end of lemma zenon_L385_ *) % 0.86/1.04 assert (zenon_L386_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((hskp28)\/(hskp18))) -> (~(hskp18)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H4a zenon_H183 zenon_H20b zenon_H4d zenon_H4e zenon_H17f zenon_H61 zenon_H62 zenon_H63 zenon_H231 zenon_H5b zenon_H2cb zenon_Ha zenon_H2bb zenon_H2bc zenon_H2bd zenon_H184 zenon_H2a4. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L379_); trivial. % 0.86/1.04 apply (zenon_L385_); trivial. % 0.86/1.04 (* end of lemma zenon_L386_ *) % 0.86/1.04 assert (zenon_L387_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H20b zenon_H63 zenon_H62 zenon_H61 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_H4e zenon_H4c zenon_H4d zenon_Ha zenon_H7c zenon_Ha7. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.86/1.04 apply (zenon_L29_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H8a | zenon_intro zenon_Hac ]. % 0.86/1.04 apply (zenon_L43_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha8 ]. % 0.86/1.04 exact (zenon_H7c zenon_H7d). % 0.86/1.04 exact (zenon_Ha7 zenon_Ha8). % 0.86/1.04 (* end of lemma zenon_L387_ *) % 0.86/1.04 assert (zenon_L388_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14)))))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42)))))) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H1de zenon_Ha zenon_H245 zenon_H3a zenon_H3b zenon_H3c. % 0.86/1.04 generalize (zenon_H1de (a756)). zenon_intro zenon_H2cd. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2cd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ce ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2cf ]. % 0.86/1.04 generalize (zenon_H245 (a756)). zenon_intro zenon_H2c4. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c5 ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H40 | zenon_intro zenon_H2c6 ]. % 0.86/1.04 exact (zenon_H3a zenon_H40). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H42 ]. % 0.86/1.04 exact (zenon_H2c7 zenon_H2ca). % 0.86/1.04 exact (zenon_H42 zenon_H3b). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H40 | zenon_intro zenon_H41 ]. % 0.86/1.04 exact (zenon_H3a zenon_H40). % 0.86/1.04 exact (zenon_H41 zenon_H3c). % 0.86/1.04 (* end of lemma zenon_L388_ *) % 0.86/1.04 assert (zenon_L389_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp28))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp28)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2cb zenon_H63 zenon_H62 zenon_H61 zenon_Hff zenon_Ha zenon_H4d zenon_H4e zenon_H3a zenon_H3b zenon_H3c zenon_H1e8 zenon_H170. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.86/1.04 apply (zenon_L29_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_Hd | zenon_intro zenon_H2cc ]. % 0.86/1.04 apply (zenon_L29_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H245 | zenon_intro zenon_H171 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e9 ]. % 0.86/1.04 apply (zenon_L388_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H6a | zenon_intro zenon_H100 ]. % 0.86/1.04 apply (zenon_L205_); trivial. % 0.86/1.04 exact (zenon_Hff zenon_H100). % 0.86/1.04 exact (zenon_H170 zenon_H171). % 0.86/1.04 (* end of lemma zenon_L389_ *) % 0.86/1.04 assert (zenon_L390_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H4b zenon_Ha zenon_Hea zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.04 generalize (zenon_H4b (a739)). zenon_intro zenon_H2d0. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d1 ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H105 | zenon_intro zenon_H2d2 ]. % 0.86/1.04 apply (zenon_L72_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H71 | zenon_intro zenon_H72 ]. % 0.86/1.04 exact (zenon_H6b zenon_H71). % 0.86/1.04 exact (zenon_H72 zenon_H6d). % 0.86/1.04 (* end of lemma zenon_L390_ *) % 0.86/1.04 assert (zenon_L391_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_Hea zenon_H13b zenon_Ha zenon_H10e zenon_H10f zenon_H10d. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.04 apply (zenon_L73_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.04 apply (zenon_L390_); trivial. % 0.86/1.04 apply (zenon_L92_); trivial. % 0.86/1.04 (* end of lemma zenon_L391_ *) % 0.86/1.04 assert (zenon_L392_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a748)) -> (c2_1 (a748)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a748))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> (c2_1 (a709)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp28)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H172 zenon_H8d zenon_H8c zenon_H80 zenon_H8b zenon_H10d zenon_H10f zenon_H10e zenon_Ha zenon_H13b zenon_H6c zenon_H6d zenon_H6b zenon_H95 zenon_H170. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H23 | zenon_intro zenon_H173 ]. % 0.86/1.04 apply (zenon_L47_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hea | zenon_intro zenon_H171 ]. % 0.86/1.04 apply (zenon_L391_); trivial. % 0.86/1.04 exact (zenon_H170 zenon_H171). % 0.86/1.04 (* end of lemma zenon_L392_ *) % 0.86/1.04 assert (zenon_L393_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (~(hskp28)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> (~(c0_1 (a748))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (c2_1 (a748)) -> (c3_1 (a748)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(hskp19)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H140 zenon_H170 zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_Ha zenon_H10e zenon_H10f zenon_H10d zenon_H8b zenon_H80 zenon_H8c zenon_H8d zenon_H172 zenon_H19. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H23 | zenon_intro zenon_H141 ]. % 0.86/1.04 apply (zenon_L47_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13b | zenon_intro zenon_H1a ]. % 0.86/1.04 apply (zenon_L392_); trivial. % 0.86/1.04 exact (zenon_H19 zenon_H1a). % 0.86/1.04 (* end of lemma zenon_L393_ *) % 0.86/1.04 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a748)) -> (c2_1 (a748)) -> (~(c0_1 (a748))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp28)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp19))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H118 zenon_H116 zenon_H19 zenon_H172 zenon_H8d zenon_H8c zenon_H8b zenon_H95 zenon_H170 zenon_H140 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.04 apply (zenon_L393_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.04 apply (zenon_L30_); trivial. % 0.86/1.04 apply (zenon_L75_); trivial. % 0.86/1.04 (* end of lemma zenon_L394_ *) % 0.86/1.04 assert (zenon_L395_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H20b zenon_H25 zenon_H26 zenon_H24 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_H4d zenon_H8a zenon_H4c zenon_H4e. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.86/1.04 apply (zenon_L137_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_L43_); trivial. % 0.86/1.04 (* end of lemma zenon_L395_ *) % 0.86/1.04 assert (zenon_L396_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp28)) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H95 zenon_H170 zenon_H6c zenon_H6d zenon_H6b zenon_H172 zenon_H20b zenon_H25 zenon_H26 zenon_H24 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_H4d zenon_H4c zenon_H4e. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.04 apply (zenon_L118_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.04 apply (zenon_L22_); trivial. % 0.86/1.04 apply (zenon_L395_); trivial. % 0.86/1.04 (* end of lemma zenon_L396_ *) % 0.86/1.04 assert (zenon_L397_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H2d zenon_H183 zenon_H17f zenon_H63 zenon_H62 zenon_H61 zenon_H172 zenon_H6b zenon_H6d zenon_H6c zenon_H4c zenon_H4d zenon_H4e zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H95. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.86/1.04 apply (zenon_L396_); trivial. % 0.86/1.04 apply (zenon_L121_); trivial. % 0.86/1.04 (* end of lemma zenon_L397_ *) % 0.86/1.04 assert (zenon_L398_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hdc | zenon_intro zenon_H5c ]. % 0.86/1.04 exact (zenon_Hdb zenon_Hdc). % 0.86/1.04 exact (zenon_H5b zenon_H5c). % 0.86/1.04 (* end of lemma zenon_L398_ *) % 0.86/1.04 assert (zenon_L399_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> (~(c1_1 (a721))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H20b zenon_H63 zenon_H62 zenon_H61 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_H4d zenon_H8a zenon_H4c zenon_H4e. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.86/1.04 apply (zenon_L29_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_L43_); trivial. % 0.86/1.04 (* end of lemma zenon_L399_ *) % 0.86/1.04 assert (zenon_L400_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a709)) -> (c1_1 (a709)) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a714)) -> (c2_1 (a714)) -> (c0_1 (a714)) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H172 zenon_H10f zenon_H10d zenon_H13b zenon_Hed zenon_Hec zenon_Heb zenon_Ha zenon_H170. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H23 | zenon_intro zenon_H173 ]. % 0.86/1.04 apply (zenon_L196_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hea | zenon_intro zenon_H171 ]. % 0.86/1.04 apply (zenon_L64_); trivial. % 0.86/1.04 exact (zenon_H170 zenon_H171). % 0.86/1.04 (* end of lemma zenon_L400_ *) % 0.86/1.04 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a709)) -> (c1_1 (a709)) -> (~(hskp28)) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hf4 zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H4e zenon_H4c zenon_H4d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H172 zenon_H10f zenon_H10d zenon_H170. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.86/1.04 apply (zenon_L61_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.86/1.04 apply (zenon_L399_); trivial. % 0.86/1.04 apply (zenon_L400_); trivial. % 0.86/1.04 (* end of lemma zenon_L401_ *) % 0.86/1.04 assert (zenon_L402_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp28)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H11b zenon_Hfb zenon_H142 zenon_H170 zenon_H172 zenon_H61 zenon_H62 zenon_H63 zenon_H4d zenon_H4c zenon_H4e zenon_H20b zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdd zenon_H5b zenon_H145 zenon_H147. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.04 apply (zenon_L102_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.04 apply (zenon_L398_); trivial. % 0.86/1.04 apply (zenon_L401_); trivial. % 0.86/1.04 (* end of lemma zenon_L402_ *) % 0.86/1.04 assert (zenon_L403_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H183 zenon_H17f zenon_H147 zenon_H145 zenon_H5b zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H20b zenon_H4e zenon_H4c zenon_H4d zenon_H63 zenon_H62 zenon_H61 zenon_H172 zenon_H142 zenon_Hfb zenon_H11b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.86/1.04 apply (zenon_L402_); trivial. % 0.86/1.04 apply (zenon_L384_); trivial. % 0.86/1.04 (* end of lemma zenon_L403_ *) % 0.86/1.04 assert (zenon_L404_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c1_1 (a709)) -> (c3_1 (a709)) -> (c2_1 (a709)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp28)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H172 zenon_H10d zenon_H10f zenon_H10e zenon_Ha zenon_H13b zenon_H6c zenon_H6d zenon_H6b zenon_H95 zenon_H170. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H23 | zenon_intro zenon_H173 ]. % 0.86/1.04 apply (zenon_L196_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Hea | zenon_intro zenon_H171 ]. % 0.86/1.04 apply (zenon_L391_); trivial. % 0.86/1.04 exact (zenon_H170 zenon_H171). % 0.86/1.04 (* end of lemma zenon_L404_ *) % 0.86/1.04 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp28)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H118 zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H4e zenon_H4c zenon_H4d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H172 zenon_H6c zenon_H6d zenon_H6b zenon_H95 zenon_H170. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.86/1.04 apply (zenon_L61_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.86/1.04 apply (zenon_L399_); trivial. % 0.86/1.04 apply (zenon_L404_); trivial. % 0.86/1.04 (* end of lemma zenon_L405_ *) % 0.86/1.04 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp28))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> (~(c0_1 (a721))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H45 zenon_H183 zenon_H17f zenon_H20b zenon_H1e8 zenon_H4e zenon_H4d zenon_H2cb zenon_H2bd zenon_H2bc zenon_H2bb zenon_H63 zenon_H62 zenon_H61 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H4c zenon_H172 zenon_H6c zenon_H6d zenon_H6b zenon_H95 zenon_H142 zenon_H11b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.04 apply (zenon_L389_); trivial. % 0.86/1.04 apply (zenon_L405_); trivial. % 0.86/1.04 apply (zenon_L121_); trivial. % 0.86/1.04 (* end of lemma zenon_L406_ *) % 0.86/1.04 assert (zenon_L407_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H1e8 zenon_H2cb zenon_H95 zenon_H184 zenon_H2a4 zenon_H11b zenon_Hfb zenon_H142 zenon_H172 zenon_H61 zenon_H62 zenon_H63 zenon_H4d zenon_H4c zenon_H4e zenon_H20b zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdd zenon_H145 zenon_H147 zenon_H17f zenon_H183. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.04 apply (zenon_L403_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L379_); trivial. % 0.86/1.04 apply (zenon_L406_); trivial. % 0.86/1.04 (* end of lemma zenon_L407_ *) % 0.86/1.04 assert (zenon_L408_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> (ndr1_0) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Ha zenon_H2bb zenon_H2bc zenon_H2bd zenon_H184 zenon_H2a4. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L379_); trivial. % 0.86/1.04 apply (zenon_L155_); trivial. % 0.86/1.04 (* end of lemma zenon_L408_ *) % 0.86/1.04 assert (zenon_L409_ : ((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp0)\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H210 zenon_H1b3 zenon_H1af zenon_H5d zenon_H43 zenon_H2a4 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H144 zenon_H4a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.04 apply (zenon_L408_); trivial. % 0.86/1.04 apply (zenon_L152_); trivial. % 0.86/1.04 (* end of lemma zenon_L409_ *) % 0.86/1.04 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2bd zenon_H2bc zenon_H2bb. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.04 apply (zenon_L211_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_L64_); trivial. % 0.86/1.04 (* end of lemma zenon_L410_ *) % 0.86/1.04 assert (zenon_L411_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (ndr1_0) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Ha zenon_H2bb zenon_H2bc zenon_H2bd zenon_H5b zenon_Hdd. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.04 apply (zenon_L398_); trivial. % 0.86/1.04 apply (zenon_L410_); trivial. % 0.86/1.04 (* end of lemma zenon_L411_ *) % 0.86/1.04 assert (zenon_L412_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4b zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.04 apply (zenon_L211_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_L390_); trivial. % 0.86/1.04 (* end of lemma zenon_L412_ *) % 0.86/1.04 assert (zenon_L413_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.04 apply (zenon_L211_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.04 apply (zenon_L378_); trivial. % 0.86/1.04 apply (zenon_L73_); trivial. % 0.86/1.04 (* end of lemma zenon_L413_ *) % 0.86/1.04 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H125 zenon_H5a zenon_H95 zenon_H20b zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdd zenon_H75 zenon_H79. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.04 apply (zenon_L411_); trivial. % 0.86/1.04 apply (zenon_L31_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.04 apply (zenon_L411_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.04 apply (zenon_L413_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.04 apply (zenon_L22_); trivial. % 0.86/1.04 apply (zenon_L399_); trivial. % 0.86/1.04 (* end of lemma zenon_L414_ *) % 0.86/1.04 assert (zenon_L415_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H101 zenon_H6b zenon_H6d zenon_H6c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hff. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H4b | zenon_intro zenon_H102 ]. % 0.86/1.04 apply (zenon_L412_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfc | zenon_intro zenon_H100 ]. % 0.86/1.04 apply (zenon_L67_); trivial. % 0.86/1.04 exact (zenon_Hff zenon_H100). % 0.86/1.04 (* end of lemma zenon_L415_ *) % 0.86/1.04 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H118 zenon_H116 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.04 apply (zenon_L413_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.04 apply (zenon_L30_); trivial. % 0.86/1.04 apply (zenon_L75_); trivial. % 0.86/1.04 (* end of lemma zenon_L416_ *) % 0.86/1.04 assert (zenon_L417_ : ((ndr1_0)/\((~(c0_1 (a713)))/\((~(c2_1 (a713)))/\(~(c3_1 (a713)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a717))/\((~(c2_1 (a717)))/\(~(c3_1 (a717))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H2d3 zenon_H20d zenon_H11b zenon_H116 zenon_H101 zenon_H79 zenon_H55 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hfb zenon_H75 zenon_H20b zenon_H95 zenon_H5a zenon_H128. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha. zenon_intro zenon_H2d4. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H215. zenon_intro zenon_H2d5. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H216. zenon_intro zenon_H217. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.04 apply (zenon_L411_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H4b | zenon_intro zenon_H56 ]. % 0.86/1.04 apply (zenon_L412_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2 | zenon_intro zenon_H6 ]. % 0.86/1.04 exact (zenon_H1 zenon_H2). % 0.86/1.04 exact (zenon_H5 zenon_H6). % 0.86/1.04 apply (zenon_L414_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.04 apply (zenon_L411_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.04 apply (zenon_L415_); trivial. % 0.86/1.04 apply (zenon_L416_); trivial. % 0.86/1.04 (* end of lemma zenon_L417_ *) % 0.86/1.04 assert (zenon_L418_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a706))) -> False). % 0.86/1.04 do 0 intro. intros zenon_He7 zenon_Ha zenon_H2d6 zenon_H2d7 zenon_H9e zenon_H2d8. % 0.86/1.04 generalize (zenon_He7 (a706)). zenon_intro zenon_H2d9. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2da ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2db ]. % 0.86/1.04 exact (zenon_H2d6 zenon_H2dc). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 0.86/1.04 exact (zenon_H2d7 zenon_H2de). % 0.86/1.04 generalize (zenon_H9e (a706)). zenon_intro zenon_H2df. % 0.86/1.04 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e0 ]. % 0.86/1.04 exact (zenon_H9 zenon_Ha). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2e1 ]. % 0.86/1.04 exact (zenon_H2d8 zenon_H2e2). % 0.86/1.04 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2de | zenon_intro zenon_H2e3 ]. % 0.86/1.04 exact (zenon_H2d7 zenon_H2de). % 0.86/1.04 exact (zenon_H2e3 zenon_H2dd). % 0.86/1.04 (* end of lemma zenon_L418_ *) % 0.86/1.04 assert (zenon_L419_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H144 zenon_H3c zenon_H3b zenon_H3a zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Ha zenon_He7. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.86/1.04 apply (zenon_L418_); trivial. % 0.86/1.04 apply (zenon_L18_); trivial. % 0.86/1.04 (* end of lemma zenon_L419_ *) % 0.86/1.04 assert (zenon_L420_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp29)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H3a zenon_H3b zenon_H3c zenon_H144 zenon_Hff. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_He3 | zenon_intro zenon_H133 ]. % 0.86/1.04 apply (zenon_L61_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_He7 | zenon_intro zenon_H100 ]. % 0.86/1.04 apply (zenon_L419_); trivial. % 0.86/1.04 exact (zenon_Hff zenon_H100). % 0.86/1.04 (* end of lemma zenon_L420_ *) % 0.86/1.04 assert (zenon_L421_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H45 zenon_H11b zenon_H116 zenon_H1a5 zenon_H1a7 zenon_H83 zenon_H82 zenon_H81 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.04 apply (zenon_L420_); trivial. % 0.86/1.04 apply (zenon_L285_); trivial. % 0.86/1.04 (* end of lemma zenon_L421_ *) % 0.86/1.04 assert (zenon_L422_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H11c zenon_H4a zenon_H11b zenon_H116 zenon_H1a5 zenon_H1a7 zenon_H83 zenon_H82 zenon_H81 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H5 zenon_H35 zenon_H37. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L17_); trivial. % 0.86/1.04 apply (zenon_L421_); trivial. % 0.86/1.04 (* end of lemma zenon_L422_ *) % 0.86/1.04 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H4a zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H5 zenon_H35 zenon_H37 zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.04 apply (zenon_L269_); trivial. % 0.86/1.04 apply (zenon_L422_); trivial. % 0.86/1.04 (* end of lemma zenon_L423_ *) % 0.86/1.04 assert (zenon_L424_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H45 zenon_H11b zenon_H116 zenon_H6d zenon_H6c zenon_H6b zenon_H83 zenon_H82 zenon_H81 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.04 apply (zenon_L420_); trivial. % 0.86/1.04 apply (zenon_L176_); trivial. % 0.86/1.04 (* end of lemma zenon_L424_ *) % 0.86/1.04 assert (zenon_L425_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H74 zenon_H4a zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H12f zenon_H142 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H95 zenon_H61 zenon_H62 zenon_H63 zenon_H28e zenon_H275 zenon_H184 zenon_H25b zenon_H25a zenon_H259 zenon_H28b zenon_H11b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L298_); trivial. % 0.86/1.04 apply (zenon_L424_); trivial. % 0.86/1.04 (* end of lemma zenon_L425_ *) % 0.86/1.04 assert (zenon_L426_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H125 zenon_H5a zenon_H9d zenon_H1ea zenon_H1e8 zenon_H124 zenon_H4a zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hfb zenon_Hf5 zenon_H132 zenon_H12f zenon_H142 zenon_H28e zenon_H28b zenon_H11b zenon_H95 zenon_H154 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H290 zenon_H20b zenon_H1b3 zenon_H1d zenon_H21 zenon_H5f zenon_H5d zenon_H75 zenon_H79. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.04 apply (zenon_L32_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.04 apply (zenon_L33_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.04 apply (zenon_L269_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.04 apply (zenon_L300_); trivial. % 0.86/1.04 apply (zenon_L425_); trivial. % 0.86/1.04 apply (zenon_L307_); trivial. % 0.86/1.04 apply (zenon_L308_); trivial. % 0.86/1.04 (* end of lemma zenon_L426_ *) % 0.86/1.04 assert (zenon_L427_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp7)) -> ((hskp7)\/((hskp14)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H128 zenon_H12f zenon_H142 zenon_H28e zenon_H95 zenon_H290 zenon_H20b zenon_H5f zenon_H5d zenon_H5a zenon_H55 zenon_H123 zenon_H32 zenon_H2e zenon_H1b zenon_H1d zenon_H21 zenon_H1 zenon_H7 zenon_H1b3 zenon_H4a zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H37 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_H16f zenon_Hfb zenon_H12e zenon_H28a zenon_H275 zenon_Hf5 zenon_H28b zenon_H154 zenon_H28c zenon_H75 zenon_H79 zenon_H124 zenon_H1e8 zenon_H147 zenon_H1ea zenon_H9d zenon_H20e. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.04 apply (zenon_L267_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.04 apply (zenon_L4_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.04 apply (zenon_L283_); trivial. % 0.86/1.04 apply (zenon_L423_); trivial. % 0.86/1.04 apply (zenon_L292_); trivial. % 0.86/1.04 apply (zenon_L24_); trivial. % 0.86/1.04 apply (zenon_L295_); trivial. % 0.86/1.04 apply (zenon_L426_); trivial. % 0.86/1.04 (* end of lemma zenon_L427_ *) % 0.86/1.04 assert (zenon_L428_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H35 zenon_H241 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243 zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.04 apply (zenon_L62_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.04 apply (zenon_L244_); trivial. % 0.86/1.04 apply (zenon_L73_); trivial. % 0.86/1.04 (* end of lemma zenon_L428_ *) % 0.86/1.04 assert (zenon_L429_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(hskp26)) -> (~(hskp11)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_H243 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H241 zenon_H35 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H116 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.04 apply (zenon_L61_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.04 apply (zenon_L428_); trivial. % 0.86/1.04 apply (zenon_L76_); trivial. % 0.86/1.04 (* end of lemma zenon_L429_ *) % 0.86/1.04 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H74 zenon_H4a zenon_H254 zenon_H250 zenon_H184 zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Hf6 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243 zenon_H116 zenon_Hf5 zenon_H11b zenon_H5 zenon_H35 zenon_H37. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L17_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H241 | zenon_intro zenon_H24f ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.04 apply (zenon_L420_); trivial. % 0.86/1.04 apply (zenon_L429_); trivial. % 0.86/1.04 apply (zenon_L247_); trivial. % 0.86/1.04 (* end of lemma zenon_L430_ *) % 0.86/1.04 assert (zenon_L431_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H254 zenon_H250 zenon_H184 zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hf6 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243 zenon_H116 zenon_Hf5 zenon_H11b zenon_H5 zenon_H37 zenon_H35 zenon_H5d zenon_H5f. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.04 apply (zenon_L28_); trivial. % 0.86/1.04 apply (zenon_L430_); trivial. % 0.86/1.04 (* end of lemma zenon_L431_ *) % 0.86/1.04 assert (zenon_L432_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H124 zenon_H79 zenon_H4a zenon_H254 zenon_H250 zenon_H184 zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hf6 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243 zenon_H116 zenon_Hf5 zenon_H11b zenon_H5 zenon_H37 zenon_H35 zenon_H5d zenon_H5f zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.04 apply (zenon_L269_); trivial. % 0.86/1.04 apply (zenon_L431_); trivial. % 0.86/1.04 (* end of lemma zenon_L432_ *) % 0.86/1.04 assert (zenon_L433_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H1f0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_He7 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H1ee. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1f1 ]. % 0.86/1.04 apply (zenon_L418_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ef ]. % 0.86/1.04 apply (zenon_L151_); trivial. % 0.86/1.04 exact (zenon_H1ee zenon_H1ef). % 0.86/1.04 (* end of lemma zenon_L433_ *) % 0.86/1.04 assert (zenon_L434_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (ndr1_0) -> (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71)))))) -> (~(hskp14)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H103 zenon_H1a7 zenon_H1a5 zenon_H9e zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Ha zenon_Hcd zenon_H3. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H6a | zenon_intro zenon_H104 ]. % 0.86/1.04 apply (zenon_L226_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.86/1.04 apply (zenon_L54_); trivial. % 0.86/1.04 exact (zenon_H3 zenon_H4). % 0.86/1.04 (* end of lemma zenon_L434_ *) % 0.86/1.04 assert (zenon_L435_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71)))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H1f0 zenon_H3 zenon_Hcd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H103 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H1ee. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1f1 ]. % 0.86/1.04 apply (zenon_L434_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ef ]. % 0.86/1.04 apply (zenon_L151_); trivial. % 0.86/1.04 exact (zenon_H1ee zenon_H1ef). % 0.86/1.04 (* end of lemma zenon_L435_ *) % 0.86/1.04 assert (zenon_L436_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a734))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hdf zenon_Hbf zenon_Hb5 zenon_H80 zenon_Hb6 zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H103 zenon_H3 zenon_H1f0 zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.04 apply (zenon_L52_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.04 apply (zenon_L435_); trivial. % 0.86/1.04 apply (zenon_L56_); trivial. % 0.86/1.04 (* end of lemma zenon_L436_ *) % 0.86/1.04 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H103 zenon_H3 zenon_H1f0 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.04 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.04 apply (zenon_L61_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.04 apply (zenon_L433_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.04 apply (zenon_L436_); trivial. % 0.86/1.04 apply (zenon_L64_); trivial. % 0.86/1.04 apply (zenon_L64_); trivial. % 0.86/1.04 (* end of lemma zenon_L437_ *) % 0.86/1.04 assert (zenon_L438_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (c1_1 (a757)) -> (c0_1 (a757)) -> (~(c2_1 (a757))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.86/1.04 do 0 intro. intros zenon_H103 zenon_H1a7 zenon_H1a5 zenon_H9e zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha zenon_H3. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H6a | zenon_intro zenon_H104 ]. % 0.86/1.04 apply (zenon_L226_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.86/1.04 apply (zenon_L191_); trivial. % 0.86/1.04 exact (zenon_H3 zenon_H4). % 0.86/1.04 (* end of lemma zenon_L438_ *) % 0.86/1.04 assert (zenon_L439_ : ((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H1fb zenon_H144 zenon_H3c zenon_H3b zenon_H3a zenon_H1a5 zenon_H1a7 zenon_H3 zenon_H103. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_Ha. zenon_intro zenon_H1fc. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1f3. zenon_intro zenon_H1fd. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.86/1.04 apply (zenon_L438_); trivial. % 0.86/1.04 apply (zenon_L18_); trivial. % 0.86/1.04 (* end of lemma zenon_L439_ *) % 0.86/1.04 assert (zenon_L440_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(hskp19)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c0_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H45 zenon_H1fe zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H116 zenon_H1a5 zenon_H1a7 zenon_H1b zenon_H5 zenon_H19 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdd zenon_H5b zenon_Hdf zenon_Hf6 zenon_H3 zenon_H103 zenon_H1a6 zenon_H1f0 zenon_Hf5 zenon_Hfb zenon_H11b. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.04 apply (zenon_L420_); trivial. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.04 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.04 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.04 apply (zenon_L59_); trivial. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.04 apply (zenon_L284_); trivial. % 0.86/1.04 apply (zenon_L75_); trivial. % 0.86/1.04 apply (zenon_L437_); trivial. % 0.86/1.04 apply (zenon_L439_); trivial. % 0.86/1.04 (* end of lemma zenon_L440_ *) % 0.86/1.04 assert (zenon_L441_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp19)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c0_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.86/1.04 do 0 intro. intros zenon_H4a zenon_H1fe zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H116 zenon_H1a5 zenon_H1a7 zenon_H1b zenon_H19 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdd zenon_H5b zenon_Hdf zenon_Hf6 zenon_H3 zenon_H103 zenon_H1a6 zenon_H1f0 zenon_Hf5 zenon_Hfb zenon_H11b zenon_H5 zenon_H35 zenon_H37. % 0.86/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.04 apply (zenon_L17_); trivial. % 0.86/1.04 apply (zenon_L440_); trivial. % 0.86/1.04 (* end of lemma zenon_L441_ *) % 0.86/1.04 assert (zenon_L442_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H32 zenon_H2e zenon_H1d zenon_H37 zenon_H35 zenon_H5 zenon_H11b zenon_Hfb zenon_Hf5 zenon_H1f0 zenon_H1a6 zenon_H103 zenon_H3 zenon_Hf6 zenon_Hdf zenon_H5b zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H1b zenon_H1a7 zenon_H1a5 zenon_H116 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H1fe zenon_H4a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.05 apply (zenon_L441_); trivial. % 0.86/1.05 apply (zenon_L13_); trivial. % 0.86/1.05 (* end of lemma zenon_L442_ *) % 0.86/1.05 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_H6b zenon_H6d zenon_H6c zenon_Hdf zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_H3 zenon_H103 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hf6. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L74_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 (* end of lemma zenon_L443_ *) % 0.86/1.05 assert (zenon_L444_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_Hdf zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.05 apply (zenon_L115_); trivial. % 0.86/1.05 apply (zenon_L443_); trivial. % 0.86/1.05 (* end of lemma zenon_L444_ *) % 0.86/1.05 assert (zenon_L445_ : (~(hskp4)) -> (hskp4) -> False). % 0.86/1.05 do 0 intro. intros zenon_H2e4 zenon_H2e5. % 0.86/1.05 exact (zenon_H2e4 zenon_H2e5). % 0.86/1.05 (* end of lemma zenon_L445_ *) % 0.86/1.05 assert (zenon_L446_ : (~(hskp3)) -> (hskp3) -> False). % 0.86/1.05 do 0 intro. intros zenon_H2e6 zenon_H2e7. % 0.86/1.05 exact (zenon_H2e6 zenon_H2e7). % 0.86/1.05 (* end of lemma zenon_L446_ *) % 0.86/1.05 assert (zenon_L447_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((hskp4)\/(hskp3))) -> (~(hskp4)) -> (~(hskp3)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1eb zenon_H2e8 zenon_H2e4 zenon_H2e6. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2e9 ]. % 0.86/1.05 apply (zenon_L180_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e7 ]. % 0.86/1.05 exact (zenon_H2e4 zenon_H2e5). % 0.86/1.05 exact (zenon_H2e6 zenon_H2e7). % 0.86/1.05 (* end of lemma zenon_L447_ *) % 0.86/1.05 assert (zenon_L448_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H99 zenon_H1ea zenon_H16f zenon_H275 zenon_H147 zenon_H145 zenon_H154 zenon_H1e8 zenon_H124 zenon_H79 zenon_H4a zenon_H254 zenon_H250 zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hf6 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243 zenon_H116 zenon_Hf5 zenon_H11b zenon_H5 zenon_H37 zenon_H35 zenon_H5d zenon_H5f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H1b3. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.05 apply (zenon_L432_); trivial. % 0.86/1.05 apply (zenon_L423_); trivial. % 0.86/1.05 apply (zenon_L292_); trivial. % 0.86/1.05 (* end of lemma zenon_L448_ *) % 0.86/1.05 assert (zenon_L449_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H45 zenon_H11b zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H4d zenon_H4c zenon_H4e zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.05 apply (zenon_L420_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.86/1.05 apply (zenon_L98_); trivial. % 0.86/1.05 apply (zenon_L197_); trivial. % 0.86/1.05 (* end of lemma zenon_L449_ *) % 0.86/1.05 assert (zenon_L450_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H74 zenon_H4a zenon_H11b zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H4d zenon_H4c zenon_H4e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdf zenon_Hf5 zenon_Hfb. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.05 apply (zenon_L444_); trivial. % 0.86/1.05 apply (zenon_L449_); trivial. % 0.86/1.05 (* end of lemma zenon_L450_ *) % 0.86/1.05 assert (zenon_L451_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp23)) -> (~(c1_1 (a720))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.05 do 0 intro. intros zenon_He1 zenon_H1b zenon_H19 zenon_H5 zenon_Hb6 zenon_Hb5 zenon_Hbf zenon_Hdf zenon_H1ee zenon_H1b4 zenon_H1b6 zenon_H1b5 zenon_H1f0 zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.05 apply (zenon_L59_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.05 apply (zenon_L214_); trivial. % 0.86/1.05 apply (zenon_L58_); trivial. % 0.86/1.05 (* end of lemma zenon_L451_ *) % 0.86/1.05 assert (zenon_L452_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1b3 zenon_H4a zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H5 zenon_H35 zenon_H37 zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H16f zenon_H275 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.05 apply (zenon_L336_); trivial. % 0.86/1.05 apply (zenon_L423_); trivial. % 0.86/1.05 (* end of lemma zenon_L452_ *) % 0.86/1.05 assert (zenon_L453_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((hskp7)\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp1)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H20e zenon_H9d zenon_H1ea zenon_H147 zenon_H1e8 zenon_H186 zenon_H18c zenon_Hfb zenon_H12e zenon_H28a zenon_Hf5 zenon_H28b zenon_H28c zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H37 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H4a zenon_H1b3 zenon_H7 zenon_H5 zenon_H1 zenon_H21 zenon_H1d zenon_H1b zenon_H2e zenon_H32 zenon_H123 zenon_H55 zenon_H5a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.05 apply (zenon_L267_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.05 apply (zenon_L4_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H120. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_He. zenon_intro zenon_H121. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H122. zenon_intro zenon_Hc. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.05 apply (zenon_L452_); trivial. % 0.86/1.05 apply (zenon_L341_); trivial. % 0.86/1.05 apply (zenon_L24_); trivial. % 0.86/1.05 apply (zenon_L295_); trivial. % 0.86/1.05 (* end of lemma zenon_L453_ *) % 0.86/1.05 assert (zenon_L454_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp31))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp7)) -> ((hskp7)\/((hskp14)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H128 zenon_H20b zenon_H75 zenon_H142 zenon_H95 zenon_H28e zenon_H5a zenon_H55 zenon_H123 zenon_H32 zenon_H2e zenon_H1b zenon_H1d zenon_H21 zenon_H1 zenon_H7 zenon_H1b3 zenon_H4a zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H37 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_H16f zenon_H275 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H154 zenon_H116 zenon_H11b zenon_H79 zenon_H124 zenon_H28c zenon_H28b zenon_Hf5 zenon_H28a zenon_H12e zenon_Hfb zenon_H18c zenon_H186 zenon_H1e8 zenon_H147 zenon_H1ea zenon_H9d zenon_H20e. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.86/1.05 apply (zenon_L453_); trivial. % 0.86/1.05 apply (zenon_L359_); trivial. % 0.86/1.05 (* end of lemma zenon_L454_ *) % 0.86/1.05 assert (zenon_L455_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp16)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H116 zenon_Hf5 zenon_H11b zenon_H5 zenon_H37 zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H243 zenon_H35 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdd zenon_H184 zenon_H250 zenon_H254. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.05 apply (zenon_L248_); trivial. % 0.86/1.05 apply (zenon_L430_); trivial. % 0.86/1.05 (* end of lemma zenon_L455_ *) % 0.86/1.05 assert (zenon_L456_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp16)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H124 zenon_H79 zenon_H4a zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H116 zenon_Hf5 zenon_H11b zenon_H5 zenon_H37 zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H243 zenon_H35 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdd zenon_H184 zenon_H250 zenon_H254 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.05 apply (zenon_L269_); trivial. % 0.86/1.05 apply (zenon_L455_); trivial. % 0.86/1.05 (* end of lemma zenon_L456_ *) % 0.86/1.05 assert (zenon_L457_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (c1_1 (a709)) -> (c2_1 (a709)) -> (c3_1 (a709)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H103 zenon_H3 zenon_Hb6 zenon_H80 zenon_Hb5 zenon_Hbf zenon_Hdf zenon_H116 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_H10d zenon_H10e zenon_H10f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.05 apply (zenon_L211_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L71_); trivial. % 0.86/1.05 apply (zenon_L76_); trivial. % 0.86/1.05 (* end of lemma zenon_L457_ *) % 0.86/1.05 assert (zenon_L458_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H99 zenon_H1ea zenon_H147 zenon_H145 zenon_H1e8 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H37 zenon_H35 zenon_H5 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H4a zenon_H1b3. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.05 apply (zenon_L452_); trivial. % 0.86/1.05 apply (zenon_L292_); trivial. % 0.86/1.05 (* end of lemma zenon_L458_ *) % 0.86/1.05 assert (zenon_L459_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_H5 zenon_H19 zenon_H1b zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.05 apply (zenon_L211_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L63_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 (* end of lemma zenon_L459_ *) % 0.86/1.05 assert (zenon_L460_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H118 zenon_Hfb zenon_Hf5 zenon_H215 zenon_H216 zenon_H217 zenon_Hdf zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H116 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.05 apply (zenon_L115_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L457_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 (* end of lemma zenon_L460_ *) % 0.86/1.05 assert (zenon_L461_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H74 zenon_H4a zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H4e zenon_H4d zenon_H4c zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H116 zenon_H103 zenon_H3 zenon_Hdf zenon_H217 zenon_H216 zenon_H215 zenon_Hf5 zenon_Hfb zenon_H11b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.05 apply (zenon_L69_); trivial. % 0.86/1.05 apply (zenon_L460_); trivial. % 0.86/1.05 apply (zenon_L449_); trivial. % 0.86/1.05 (* end of lemma zenon_L461_ *) % 0.86/1.05 assert (zenon_L462_ : (forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70))))) -> (ndr1_0) -> (forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93)))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hbe zenon_Ha zenon_Hb zenon_Hc4 zenon_Hc5 zenon_Hce. % 0.86/1.05 generalize (zenon_Hbe (a717)). zenon_intro zenon_H2ea. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H2ea); [ zenon_intro zenon_H9 | zenon_intro zenon_H2eb ]. % 0.86/1.05 exact (zenon_H9 zenon_Ha). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H2ec ]. % 0.86/1.05 apply (zenon_L53_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd2 ]. % 0.86/1.05 exact (zenon_Hc4 zenon_Hca). % 0.86/1.05 exact (zenon_Hce zenon_Hd2). % 0.86/1.05 (* end of lemma zenon_L462_ *) % 0.86/1.05 assert (zenon_L463_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (ndr1_0) -> (forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70))))) -> (~(hskp14)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H103 zenon_H1a7 zenon_H1a5 zenon_H9e zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Ha zenon_Hbe zenon_H3. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H6a | zenon_intro zenon_H104 ]. % 0.86/1.05 apply (zenon_L226_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.86/1.05 apply (zenon_L462_); trivial. % 0.86/1.05 exact (zenon_H3 zenon_H4). % 0.86/1.05 (* end of lemma zenon_L463_ *) % 0.86/1.05 assert (zenon_L464_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> (forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1f0 zenon_H3 zenon_Hbe zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H103 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H1ee. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1f1 ]. % 0.86/1.05 apply (zenon_L463_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ef ]. % 0.86/1.05 apply (zenon_L151_); trivial. % 0.86/1.05 exact (zenon_H1ee zenon_H1ef). % 0.86/1.05 (* end of lemma zenon_L464_ *) % 0.86/1.05 assert (zenon_L465_ : (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71)))))) -> (ndr1_0) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hcd zenon_Ha zenon_H2ed zenon_H2ee zenon_H2ef. % 0.86/1.05 generalize (zenon_Hcd (a711)). zenon_intro zenon_H2f0. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H2f0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2f1 ]. % 0.86/1.05 exact (zenon_H9 zenon_Ha). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f2 ]. % 0.86/1.05 exact (zenon_H2ed zenon_H2f3). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f4 ]. % 0.86/1.05 exact (zenon_H2ee zenon_H2f5). % 0.86/1.05 exact (zenon_H2f4 zenon_H2ef). % 0.86/1.05 (* end of lemma zenon_L465_ *) % 0.86/1.05 assert (zenon_L466_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hdf zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H103 zenon_H3 zenon_H1f0 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.05 apply (zenon_L464_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.05 apply (zenon_L465_); trivial. % 0.86/1.05 apply (zenon_L56_); trivial. % 0.86/1.05 (* end of lemma zenon_L466_ *) % 0.86/1.05 assert (zenon_L467_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H3a zenon_H3b zenon_H3c zenon_H144 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1f0 zenon_H3 zenon_H103 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee zenon_Hdf zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.05 apply (zenon_L419_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L466_); trivial. % 0.86/1.05 apply (zenon_L73_); trivial. % 0.86/1.05 (* end of lemma zenon_L467_ *) % 0.86/1.05 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H45 zenon_H1fe zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Hf6 zenon_H6b zenon_H6d zenon_H6c zenon_H1f0 zenon_H1a6 zenon_H1a5 zenon_H1a7 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdf zenon_H116 zenon_Hf5 zenon_H11b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.05 apply (zenon_L420_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L467_); trivial. % 0.86/1.05 apply (zenon_L76_); trivial. % 0.86/1.05 apply (zenon_L439_); trivial. % 0.86/1.05 (* end of lemma zenon_L468_ *) % 0.86/1.05 assert (zenon_L469_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1b3 zenon_H1fe zenon_H1f0 zenon_H3 zenon_H103 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdf zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H5f zenon_H5d zenon_H35 zenon_H37 zenon_H5 zenon_H11b zenon_Hf5 zenon_H116 zenon_H243 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hf6 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H250 zenon_H254 zenon_H4a zenon_H79 zenon_H124. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.05 apply (zenon_L432_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.05 apply (zenon_L269_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.05 apply (zenon_L28_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.05 apply (zenon_L17_); trivial. % 0.86/1.05 apply (zenon_L468_); trivial. % 0.86/1.05 (* end of lemma zenon_L469_ *) % 0.86/1.05 assert (zenon_L470_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H3a zenon_H3b zenon_H3c zenon_H144 zenon_H35 zenon_H241 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243 zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.05 apply (zenon_L419_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L244_); trivial. % 0.86/1.05 apply (zenon_L73_); trivial. % 0.86/1.05 (* end of lemma zenon_L470_ *) % 0.86/1.05 assert (zenon_L471_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H118 zenon_H116 zenon_H243 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H241 zenon_H35 zenon_H144 zenon_H3c zenon_H3b zenon_H3a zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.05 apply (zenon_L470_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.05 apply (zenon_L30_); trivial. % 0.86/1.05 apply (zenon_L75_); trivial. % 0.86/1.05 (* end of lemma zenon_L471_ *) % 0.86/1.05 assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp23)) -> (c0_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H118 zenon_H116 zenon_H6b zenon_H6d zenon_H6c zenon_Hdf zenon_H1ee zenon_H1a6 zenon_H103 zenon_H3 zenon_H1f0 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1a5 zenon_H1a7 zenon_H3a zenon_H3b zenon_H3c zenon_H144. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.05 apply (zenon_L467_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.05 apply (zenon_L284_); trivial. % 0.86/1.05 apply (zenon_L75_); trivial. % 0.86/1.05 (* end of lemma zenon_L472_ *) % 0.86/1.05 assert (zenon_L473_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H74 zenon_H32 zenon_H2e zenon_H1d zenon_H37 zenon_H35 zenon_H5 zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hdf zenon_H2ef zenon_H2ee zenon_H2ed zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H1a7 zenon_H1a5 zenon_H1a6 zenon_H1f0 zenon_Hf6 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H1b zenon_H1fe zenon_H4a. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.05 apply (zenon_L17_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.05 apply (zenon_L181_); trivial. % 0.86/1.05 apply (zenon_L472_); trivial. % 0.86/1.05 apply (zenon_L192_); trivial. % 0.86/1.05 apply (zenon_L13_); trivial. % 0.86/1.05 (* end of lemma zenon_L473_ *) % 0.86/1.05 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H32 zenon_H2e zenon_H1d zenon_H37 zenon_H5 zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hdf zenon_H2ef zenon_H2ee zenon_H2ed zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H1f0 zenon_Hf6 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H1b zenon_H1fe zenon_H4a zenon_H35 zenon_H5d zenon_H5f. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.05 apply (zenon_L28_); trivial. % 0.86/1.05 apply (zenon_L473_); trivial. % 0.86/1.05 (* end of lemma zenon_L474_ *) % 0.86/1.05 assert (zenon_L475_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a734))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hdf zenon_Hbf zenon_Hb5 zenon_H80 zenon_Hb6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.05 apply (zenon_L52_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.05 apply (zenon_L465_); trivial. % 0.86/1.05 apply (zenon_L58_); trivial. % 0.86/1.05 (* end of lemma zenon_L475_ *) % 0.86/1.05 assert (zenon_L476_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.05 do 0 intro. intros zenon_He1 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hb6 zenon_Hb5 zenon_Hbf zenon_Hdf zenon_H4e zenon_H4d zenon_H4c zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.05 apply (zenon_L475_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.05 apply (zenon_L22_); trivial. % 0.86/1.05 apply (zenon_L58_); trivial. % 0.86/1.05 (* end of lemma zenon_L476_ *) % 0.86/1.05 assert (zenon_L477_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c1_1 (a734))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hdf zenon_Hbf zenon_Hb5 zenon_H80 zenon_Hb6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.05 apply (zenon_L52_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.05 apply (zenon_L465_); trivial. % 0.86/1.05 apply (zenon_L56_); trivial. % 0.86/1.05 (* end of lemma zenon_L477_ *) % 0.86/1.05 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hf6. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.05 apply (zenon_L62_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L477_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 (* end of lemma zenon_L478_ *) % 0.86/1.05 assert (zenon_L479_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H5b zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_Ha zenon_H4c zenon_H4d zenon_H4e zenon_He1. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.05 apply (zenon_L476_); trivial. % 0.86/1.05 apply (zenon_L478_); trivial. % 0.86/1.05 (* end of lemma zenon_L479_ *) % 0.86/1.05 assert (zenon_L480_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H118 zenon_Hfb zenon_Hf5 zenon_Hdf zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H116 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.05 apply (zenon_L115_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.05 apply (zenon_L62_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L477_); trivial. % 0.86/1.05 apply (zenon_L76_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 (* end of lemma zenon_L480_ *) % 0.86/1.05 assert (zenon_L481_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H11b zenon_Hfb zenon_Hf5 zenon_Hdf zenon_H2ef zenon_H2ee zenon_H2ed zenon_H116 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f zenon_Ha zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.05 apply (zenon_L69_); trivial. % 0.86/1.05 apply (zenon_L480_); trivial. % 0.86/1.05 (* end of lemma zenon_L481_ *) % 0.86/1.05 assert (zenon_L482_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H101 zenon_H12f zenon_H116 zenon_H11b zenon_He1 zenon_H4e zenon_H4d zenon_H4c zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.05 apply (zenon_L479_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.05 apply (zenon_L481_); trivial. % 0.86/1.05 apply (zenon_L449_); trivial. % 0.86/1.05 (* end of lemma zenon_L482_ *) % 0.86/1.05 assert (zenon_L483_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> (~(hskp17)) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H4a zenon_Hab zenon_Ha7 zenon_H7c zenon_Ha zenon_H4d zenon_H4c zenon_H4e zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_He1 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H184 zenon_H2a4 zenon_H95. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.05 apply (zenon_L319_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.05 apply (zenon_L22_); trivial. % 0.86/1.05 apply (zenon_L323_); trivial. % 0.86/1.05 apply (zenon_L324_); trivial. % 0.86/1.05 (* end of lemma zenon_L483_ *) % 0.86/1.05 assert (zenon_L484_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hdf zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H103 zenon_H3 zenon_H1f0 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.05 apply (zenon_L464_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.05 apply (zenon_L465_); trivial. % 0.86/1.05 apply (zenon_L58_); trivial. % 0.86/1.05 (* end of lemma zenon_L484_ *) % 0.86/1.05 assert (zenon_L485_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H144 zenon_H1e1 zenon_H1df zenon_H80 zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Ha zenon_He7. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.86/1.05 apply (zenon_L418_); trivial. % 0.86/1.05 apply (zenon_L317_); trivial. % 0.86/1.05 (* end of lemma zenon_L485_ *) % 0.86/1.05 assert (zenon_L486_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (ndr1_0) -> (c0_1 (a714)) -> (c2_1 (a714)) -> (c3_1 (a714)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H80 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1f0 zenon_H3 zenon_H103 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee zenon_Hdf zenon_Ha zenon_Heb zenon_Hec zenon_Hed. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.05 apply (zenon_L485_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.05 apply (zenon_L466_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 (* end of lemma zenon_L486_ *) % 0.86/1.05 assert (zenon_L487_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf4 zenon_H95 zenon_Hdf zenon_H103 zenon_H3 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1f0 zenon_H4e zenon_H4c zenon_H4d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.05 apply (zenon_L486_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.05 apply (zenon_L22_); trivial. % 0.86/1.05 apply (zenon_L190_); trivial. % 0.86/1.05 (* end of lemma zenon_L487_ *) % 0.86/1.05 assert (zenon_L488_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> (ndr1_0) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H32 zenon_H18c zenon_Ha7 zenon_Hfb zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1f0 zenon_H1a6 zenon_Ha zenon_H1a5 zenon_H1a7 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_H5b zenon_Hdf zenon_H5 zenon_H1b zenon_H1fe. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.05 apply (zenon_L484_); trivial. % 0.86/1.05 apply (zenon_L487_); trivial. % 0.86/1.05 apply (zenon_L192_); trivial. % 0.86/1.05 apply (zenon_L194_); trivial. % 0.86/1.05 (* end of lemma zenon_L488_ *) % 0.86/1.05 assert (zenon_L489_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1fe zenon_H1b zenon_H5 zenon_H19 zenon_H12f zenon_H33 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_Hf6 zenon_H1f0 zenon_H1a6 zenon_H1a5 zenon_H1a7 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdf zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H4c zenon_H4d zenon_H4e zenon_H95 zenon_Hfb. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.05 apply (zenon_L115_); trivial. % 0.86/1.05 apply (zenon_L487_); trivial. % 0.86/1.05 apply (zenon_L192_); trivial. % 0.86/1.05 (* end of lemma zenon_L489_ *) % 0.86/1.05 assert (zenon_L490_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (c0_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H79 zenon_H2e zenon_H1d zenon_H12f zenon_H4a zenon_H1fe zenon_H1b zenon_H5 zenon_Hdf zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H1a7 zenon_H1a5 zenon_Ha zenon_H1a6 zenon_H1f0 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H4c zenon_H4d zenon_H4e zenon_H95 zenon_Hfb zenon_Ha7 zenon_H18c zenon_H32. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.05 apply (zenon_L488_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.05 apply (zenon_L489_); trivial. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.05 apply (zenon_L467_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.05 apply (zenon_L22_); trivial. % 0.86/1.05 apply (zenon_L98_); trivial. % 0.86/1.05 apply (zenon_L439_); trivial. % 0.86/1.05 apply (zenon_L13_); trivial. % 0.86/1.05 (* end of lemma zenon_L490_ *) % 0.86/1.05 assert (zenon_L491_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H11c zenon_H32 zenon_H11b zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H4d zenon_H4c zenon_H4e zenon_H1f0 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H5d zenon_H290 zenon_H1b zenon_H1fe. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.05 apply (zenon_L306_); trivial. % 0.86/1.05 apply (zenon_L198_); trivial. % 0.86/1.05 apply (zenon_L192_); trivial. % 0.86/1.05 apply (zenon_L13_); trivial. % 0.86/1.05 (* end of lemma zenon_L491_ *) % 0.86/1.05 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H11b zenon_H142 zenon_H5d zenon_H290 zenon_H32 zenon_H18c zenon_Hfb zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1f0 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hdf zenon_H5 zenon_H1b zenon_H1fe zenon_H4a zenon_H12f zenon_H1d zenon_H2e zenon_H79. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.05 apply (zenon_L490_); trivial. % 0.86/1.05 apply (zenon_L491_); trivial. % 0.86/1.05 (* end of lemma zenon_L492_ *) % 0.86/1.05 assert (zenon_L493_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_H101 zenon_H12f zenon_H116 zenon_H11b zenon_He1 zenon_H4e zenon_H4d zenon_H4c zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L479_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_L481_); trivial. % 0.86/1.06 apply (zenon_L155_); trivial. % 0.86/1.06 (* end of lemma zenon_L493_ *) % 0.86/1.06 assert (zenon_L494_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H124 zenon_H79 zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_H101 zenon_H12f zenon_H116 zenon_H11b zenon_He1 zenon_H4e zenon_H4d zenon_H4c zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.06 apply (zenon_L269_); trivial. % 0.86/1.06 apply (zenon_L493_); trivial. % 0.86/1.06 (* end of lemma zenon_L494_ *) % 0.86/1.06 assert (zenon_L495_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a748))/\((c3_1 (a748))/\(~(c0_1 (a748))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H9a zenon_H1d zenon_H5 zenon_H2e zenon_H1fe zenon_H186 zenon_Hab zenon_Ha7 zenon_Ha zenon_H4d zenon_H4c zenon_H4e zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H1f0 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_He1 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H184 zenon_H2a4 zenon_H95 zenon_H4a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.06 apply (zenon_L319_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.06 apply (zenon_L214_); trivial. % 0.86/1.06 apply (zenon_L323_); trivial. % 0.86/1.06 apply (zenon_L216_); trivial. % 0.86/1.06 apply (zenon_L324_); trivial. % 0.86/1.06 apply (zenon_L49_); trivial. % 0.86/1.06 (* end of lemma zenon_L495_ *) % 0.86/1.06 assert (zenon_L496_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c3_1 (a731))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> (ndr1_0) -> False). % 0.86/1.06 do 0 intro. intros zenon_H144 zenon_H1e1 zenon_H1df zenon_H80 zenon_H1e0 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Ha. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.86/1.06 apply (zenon_L154_); trivial. % 0.86/1.06 apply (zenon_L317_); trivial. % 0.86/1.06 (* end of lemma zenon_L496_ *) % 0.86/1.06 assert (zenon_L497_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H116 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.06 apply (zenon_L61_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L496_); trivial. % 0.86/1.06 apply (zenon_L76_); trivial. % 0.86/1.06 (* end of lemma zenon_L497_ *) % 0.86/1.06 assert (zenon_L498_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H11b zenon_H116 zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H12f zenon_H33 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.06 apply (zenon_L116_); trivial. % 0.86/1.06 apply (zenon_L497_); trivial. % 0.86/1.06 (* end of lemma zenon_L498_ *) % 0.86/1.06 assert (zenon_L499_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a762)) -> (c0_1 (a762)) -> (~(c2_1 (a762))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(hskp14)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H103 zenon_H1a7 zenon_H1a5 zenon_H15f zenon_H160 zenon_H15e zenon_Ha zenon_H9e zenon_H3. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H6a | zenon_intro zenon_H104 ]. % 0.86/1.06 apply (zenon_L226_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.86/1.06 apply (zenon_L173_); trivial. % 0.86/1.06 exact (zenon_H3 zenon_H4). % 0.86/1.06 (* end of lemma zenon_L499_ *) % 0.86/1.06 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H16c zenon_H1f0 zenon_H3 zenon_H103 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H160. zenon_intro zenon_H16e. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15f. zenon_intro zenon_H15e. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H9e | zenon_intro zenon_H1f1 ]. % 0.86/1.06 apply (zenon_L499_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ef ]. % 0.86/1.06 apply (zenon_L151_); trivial. % 0.86/1.06 exact (zenon_H1ee zenon_H1ef). % 0.86/1.06 (* end of lemma zenon_L500_ *) % 0.86/1.06 assert (zenon_L501_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H32 zenon_H2e zenon_H1d zenon_H16f zenon_H1f0 zenon_H1a6 zenon_H1a5 zenon_H1a7 zenon_H3 zenon_H103 zenon_Ha zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H154 zenon_H5b zenon_H1e1 zenon_H1e0 zenon_H144 zenon_H5 zenon_H1b zenon_H1fe. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H152 | zenon_intro zenon_H16c ]. % 0.86/1.06 apply (zenon_L355_); trivial. % 0.86/1.06 apply (zenon_L500_); trivial. % 0.86/1.06 apply (zenon_L192_); trivial. % 0.86/1.06 apply (zenon_L13_); trivial. % 0.86/1.06 (* end of lemma zenon_L501_ *) % 0.86/1.06 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a720))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf4 zenon_H95 zenon_Hdf zenon_H103 zenon_H3 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1b4 zenon_H1b6 zenon_H1b5 zenon_H1f0 zenon_H4e zenon_H4c zenon_H4d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.06 apply (zenon_L486_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.06 apply (zenon_L214_); trivial. % 0.86/1.06 apply (zenon_L190_); trivial. % 0.86/1.06 (* end of lemma zenon_L502_ *) % 0.86/1.06 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c0_1 (a731))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H12f zenon_Hf6 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdf zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1df zenon_H4e zenon_H4c zenon_H4d zenon_H95 zenon_Hfb zenon_H4a zenon_H1fe zenon_H1b zenon_H5 zenon_H144 zenon_H1e0 zenon_H1e1 zenon_H154 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_H103 zenon_H3 zenon_H1f0 zenon_H16f zenon_H1d zenon_H2e zenon_H32. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L501_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_L115_); trivial. % 0.86/1.06 apply (zenon_L502_); trivial. % 0.86/1.06 apply (zenon_L192_); trivial. % 0.86/1.06 apply (zenon_L155_); trivial. % 0.86/1.06 apply (zenon_L13_); trivial. % 0.86/1.06 (* end of lemma zenon_L503_ *) % 0.86/1.06 assert (zenon_L504_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_Hbf zenon_Hb5 zenon_Hb6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.06 apply (zenon_L61_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.06 apply (zenon_L211_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L477_); trivial. % 0.86/1.06 apply (zenon_L64_); trivial. % 0.86/1.06 apply (zenon_L64_); trivial. % 0.86/1.06 (* end of lemma zenon_L504_ *) % 0.86/1.06 assert (zenon_L505_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H45 zenon_H11b zenon_Hfb zenon_Hf5 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H5b zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a7 zenon_H1a5 zenon_H116 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.06 apply (zenon_L420_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.06 apply (zenon_L475_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.06 apply (zenon_L284_); trivial. % 0.86/1.06 apply (zenon_L75_); trivial. % 0.86/1.06 apply (zenon_L504_); trivial. % 0.86/1.06 (* end of lemma zenon_L505_ *) % 0.86/1.06 assert (zenon_L506_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H4a zenon_H11b zenon_Hfb zenon_Hf5 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H5b zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a7 zenon_H1a5 zenon_H116 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H5 zenon_H35 zenon_H37. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_L17_); trivial. % 0.86/1.06 apply (zenon_L505_); trivial. % 0.86/1.06 (* end of lemma zenon_L506_ *) % 0.86/1.06 assert (zenon_L507_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_H215 zenon_H216 zenon_H217 zenon_Hdf zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H6b zenon_H6c zenon_H6d zenon_H33 zenon_H12f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_L115_); trivial. % 0.86/1.06 apply (zenon_L504_); trivial. % 0.86/1.06 (* end of lemma zenon_L507_ *) % 0.86/1.06 assert (zenon_L508_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H11c zenon_H79 zenon_H1fe zenon_H1f0 zenon_H1a6 zenon_H3 zenon_H103 zenon_H12f zenon_H37 zenon_H35 zenon_H5 zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H116 zenon_H1a5 zenon_H1a7 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hf5 zenon_Hfb zenon_H11b zenon_H4a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L506_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_L507_); trivial. % 0.86/1.06 apply (zenon_L468_); trivial. % 0.86/1.06 (* end of lemma zenon_L508_ *) % 0.86/1.06 assert (zenon_L509_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp11)) -> (~(hskp26)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H80 zenon_H1df zenon_H1e1 zenon_H144 zenon_H35 zenon_H241 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H243 zenon_H4b zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.06 apply (zenon_L485_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L244_); trivial. % 0.86/1.06 apply (zenon_L390_); trivial. % 0.86/1.06 (* end of lemma zenon_L509_ *) % 0.86/1.06 assert (zenon_L510_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(hskp26)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (c1_1 (a709)) -> (c2_1 (a709)) -> (c3_1 (a709)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H116 zenon_H4b zenon_H243 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H241 zenon_H35 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_H10d zenon_H10e zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.06 apply (zenon_L509_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.06 apply (zenon_L30_); trivial. % 0.86/1.06 apply (zenon_L75_); trivial. % 0.86/1.06 (* end of lemma zenon_L510_ *) % 0.86/1.06 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp23)) -> (c0_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c1_1 (a709)) -> (c2_1 (a709)) -> (c3_1 (a709)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf4 zenon_H116 zenon_Hdf zenon_H1ee zenon_H1a6 zenon_H103 zenon_H3 zenon_H1f0 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1a5 zenon_H1a7 zenon_H3a zenon_H3b zenon_H3c zenon_H144 zenon_H10d zenon_H10e zenon_H10f. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.06 apply (zenon_L486_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.06 apply (zenon_L284_); trivial. % 0.86/1.06 apply (zenon_L75_); trivial. % 0.86/1.06 (* end of lemma zenon_L511_ *) % 0.86/1.06 assert (zenon_L512_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(hskp19)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> (~(hskp10)) -> (~(hskp18)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H45 zenon_H1fe zenon_H1b zenon_H5 zenon_H19 zenon_H147 zenon_H145 zenon_H5b zenon_Hdf zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H1a7 zenon_H1a5 zenon_H1a6 zenon_H1f0 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H116 zenon_Hfb zenon_H11b. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.06 apply (zenon_L102_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_L484_); trivial. % 0.86/1.06 apply (zenon_L511_); trivial. % 0.86/1.06 apply (zenon_L192_); trivial. % 0.86/1.06 (* end of lemma zenon_L512_ *) % 0.86/1.06 assert (zenon_L513_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> (~(hskp17)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp18)) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H32 zenon_H18c zenon_Ha7 zenon_H37 zenon_H35 zenon_H5 zenon_H11b zenon_Hfb zenon_H116 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1f0 zenon_H1a6 zenon_H1a5 zenon_H1a7 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hdf zenon_H5b zenon_H145 zenon_H147 zenon_H1b zenon_H1fe zenon_H4a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_L17_); trivial. % 0.86/1.06 apply (zenon_L512_); trivial. % 0.86/1.06 apply (zenon_L194_); trivial. % 0.86/1.06 (* end of lemma zenon_L513_ *) % 0.86/1.06 assert (zenon_L514_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp10)) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H124 zenon_H12f zenon_H132 zenon_Hf5 zenon_H32 zenon_H18c zenon_H1f0 zenon_H3 zenon_H103 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdf zenon_H145 zenon_H147 zenon_H1b zenon_H1fe zenon_H1d zenon_H2e zenon_H254 zenon_H250 zenon_Hdd zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H35 zenon_H243 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hfb zenon_H37 zenon_H5 zenon_H11b zenon_He1 zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H1e8 zenon_H4a zenon_H79. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L248_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_L17_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H241 | zenon_intro zenon_H24f ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.06 apply (zenon_L181_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.06 apply (zenon_L470_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L510_); trivial. % 0.86/1.06 apply (zenon_L366_); trivial. % 0.86/1.06 apply (zenon_L247_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L513_); trivial. % 0.86/1.06 apply (zenon_L473_); trivial. % 0.86/1.06 apply (zenon_L508_); trivial. % 0.86/1.06 (* end of lemma zenon_L514_ *) % 0.86/1.06 assert (zenon_L515_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H74 zenon_H4a zenon_H11b zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H4d zenon_H4c zenon_H4e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H12f zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdf zenon_H217 zenon_H216 zenon_H215 zenon_Hf5 zenon_Hfb. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_L507_); trivial. % 0.86/1.06 apply (zenon_L449_); trivial. % 0.86/1.06 (* end of lemma zenon_L515_ *) % 0.86/1.06 assert (zenon_L516_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H11b zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H12f zenon_He1 zenon_H4e zenon_H4d zenon_H4c zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hf5 zenon_Hfb. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_L476_); trivial. % 0.86/1.06 apply (zenon_L504_); trivial. % 0.86/1.06 apply (zenon_L515_); trivial. % 0.86/1.06 (* end of lemma zenon_L516_ *) % 0.86/1.06 assert (zenon_L517_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.06 do 0 intro. intros zenon_He1 zenon_H8a zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H4e zenon_H4d zenon_H4c zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.06 apply (zenon_L318_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L22_); trivial. % 0.86/1.06 apply (zenon_L58_); trivial. % 0.86/1.06 (* end of lemma zenon_L517_ *) % 0.86/1.06 assert (zenon_L518_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp17)) -> (~(hskp21)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf4 zenon_H95 zenon_Ha7 zenon_H7c zenon_Hab zenon_He1 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H4e zenon_H4d zenon_H4c zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hc5 zenon_Hce zenon_Hc4. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.06 apply (zenon_L319_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.06 apply (zenon_L22_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.06 apply (zenon_L318_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L22_); trivial. % 0.86/1.06 apply (zenon_L362_); trivial. % 0.86/1.06 (* end of lemma zenon_L518_ *) % 0.86/1.06 assert (zenon_L519_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp21)\/(hskp17))) -> (~(hskp17)) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hab zenon_Ha7 zenon_H7c zenon_Ha zenon_H4d zenon_H4c zenon_H4e zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_He1 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H5b zenon_Hdd zenon_H95. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.06 apply (zenon_L319_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.06 apply (zenon_L22_); trivial. % 0.86/1.06 apply (zenon_L517_); trivial. % 0.86/1.06 apply (zenon_L518_); trivial. % 0.86/1.06 (* end of lemma zenon_L519_ *) % 0.86/1.06 assert (zenon_L520_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp23)) -> (~(c1_1 (a720))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.06 do 0 intro. intros zenon_He1 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hb6 zenon_Hb5 zenon_Hbf zenon_Hdf zenon_H1ee zenon_H1b4 zenon_H1b6 zenon_H1b5 zenon_H1f0 zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.06 apply (zenon_L475_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L214_); trivial. % 0.86/1.06 apply (zenon_L58_); trivial. % 0.86/1.06 (* end of lemma zenon_L520_ *) % 0.86/1.06 assert (zenon_L521_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c0_1 (a731))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H79 zenon_H32 zenon_H2e zenon_H1d zenon_H11b zenon_He1 zenon_Hf6 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H217 zenon_H216 zenon_H215 zenon_H116 zenon_H1f0 zenon_H1df zenon_H1e8 zenon_H5 zenon_H1b zenon_H1fe zenon_H144 zenon_H1e0 zenon_H1e1 zenon_H154 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H184 zenon_H275 zenon_H16f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L356_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.06 apply (zenon_L181_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.86/1.06 apply (zenon_L496_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L214_); trivial. % 0.86/1.06 apply (zenon_L366_); trivial. % 0.86/1.06 apply (zenon_L192_); trivial. % 0.86/1.06 apply (zenon_L13_); trivial. % 0.86/1.06 (* end of lemma zenon_L521_ *) % 0.86/1.06 assert (zenon_L522_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H12f zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdf zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H4e zenon_H4c zenon_H4d zenon_H95 zenon_Hfb zenon_H4a zenon_H103 zenon_H3 zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H154 zenon_H144 zenon_H1fe zenon_H1b zenon_H5 zenon_H1e8 zenon_H1f0 zenon_H116 zenon_H215 zenon_H216 zenon_H217 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hf6 zenon_He1 zenon_H11b zenon_H1d zenon_H2e zenon_H32 zenon_H79. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.06 apply (zenon_L521_); trivial. % 0.86/1.06 apply (zenon_L503_); trivial. % 0.86/1.06 (* end of lemma zenon_L522_ *) % 0.86/1.06 assert (zenon_L523_ : (forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70))))) -> (ndr1_0) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hbe zenon_Ha zenon_H2f6 zenon_H2f7 zenon_H2f8. % 0.86/1.06 generalize (zenon_Hbe (a710)). zenon_intro zenon_H2f9. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H2f9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2fa ]. % 0.86/1.06 exact (zenon_H9 zenon_Ha). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2fc | zenon_intro zenon_H2fb ]. % 0.86/1.06 exact (zenon_H2f6 zenon_H2fc). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H2fe | zenon_intro zenon_H2fd ]. % 0.86/1.06 exact (zenon_H2f7 zenon_H2fe). % 0.86/1.06 exact (zenon_H2f8 zenon_H2fd). % 0.86/1.06 (* end of lemma zenon_L523_ *) % 0.86/1.06 assert (zenon_L524_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H103 zenon_H3 zenon_H1f0 zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.06 apply (zenon_L523_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L435_); trivial. % 0.86/1.06 apply (zenon_L56_); trivial. % 0.86/1.06 (* end of lemma zenon_L524_ *) % 0.86/1.06 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H1f0 zenon_H3 zenon_H103 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.06 apply (zenon_L433_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L524_); trivial. % 0.86/1.06 apply (zenon_L64_); trivial. % 0.86/1.06 (* end of lemma zenon_L525_ *) % 0.86/1.06 assert (zenon_L526_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (ndr1_0) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hfb zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_Ha zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H1f0 zenon_H1ee zenon_H1a6 zenon_H1a5 zenon_H1a7 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_Hdd zenon_H5b zenon_Hdf. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.06 apply (zenon_L523_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L435_); trivial. % 0.86/1.06 apply (zenon_L58_); trivial. % 0.86/1.06 apply (zenon_L525_); trivial. % 0.86/1.06 (* end of lemma zenon_L526_ *) % 0.86/1.06 assert (zenon_L527_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (ndr1_0) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H32 zenon_H2e zenon_H1d zenon_Hfb zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_Ha zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H1f0 zenon_H1a6 zenon_H1a5 zenon_H1a7 zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_Hdd zenon_H5b zenon_Hdf zenon_H5 zenon_H1b zenon_H1fe. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.06 apply (zenon_L526_); trivial. % 0.86/1.06 apply (zenon_L192_); trivial. % 0.86/1.06 apply (zenon_L13_); trivial. % 0.86/1.06 (* end of lemma zenon_L527_ *) % 0.86/1.06 assert (zenon_L528_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H132 zenon_H144 zenon_H116 zenon_H11b zenon_H35 zenon_H37 zenon_H1fe zenon_H1b zenon_H5 zenon_Hdf zenon_Hdd zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H1a7 zenon_H1a5 zenon_H1a6 zenon_H1f0 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hfb zenon_H1d zenon_H2e zenon_H32. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L527_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.06 apply (zenon_L17_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.06 apply (zenon_L420_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.06 apply (zenon_L419_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L524_); trivial. % 0.86/1.06 apply (zenon_L76_); trivial. % 0.86/1.06 apply (zenon_L439_); trivial. % 0.86/1.06 (* end of lemma zenon_L528_ *) % 0.86/1.06 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H79 zenon_H4a zenon_H132 zenon_H144 zenon_H116 zenon_H11b zenon_H35 zenon_H37 zenon_H1fe zenon_H1b zenon_H5 zenon_Hdf zenon_Hdd zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H1f0 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hfb zenon_H1d zenon_H2e zenon_H32 zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.06 apply (zenon_L269_); trivial. % 0.86/1.06 apply (zenon_L528_); trivial. % 0.86/1.06 (* end of lemma zenon_L529_ *) % 0.86/1.06 assert (zenon_L530_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp14)) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H3 zenon_H6b zenon_H6c zenon_H6d zenon_H103 zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.06 apply (zenon_L523_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L70_); trivial. % 0.86/1.06 apply (zenon_L56_); trivial. % 0.86/1.06 (* end of lemma zenon_L530_ *) % 0.86/1.06 assert (zenon_L531_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H103 zenon_H3 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.06 apply (zenon_L485_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L530_); trivial. % 0.86/1.06 apply (zenon_L73_); trivial. % 0.86/1.06 (* end of lemma zenon_L531_ *) % 0.86/1.06 assert (zenon_L532_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (~(hskp4)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H74 zenon_H2ff zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H3 zenon_H103 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H2e4. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H80 | zenon_intro zenon_H300 ]. % 0.86/1.06 apply (zenon_L531_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H1de | zenon_intro zenon_H2e5 ]. % 0.86/1.06 apply (zenon_L180_); trivial. % 0.86/1.06 exact (zenon_H2e4 zenon_H2e5). % 0.86/1.06 (* end of lemma zenon_L532_ *) % 0.86/1.06 assert (zenon_L533_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1eb zenon_H79 zenon_H2ff zenon_H2e4 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hdf zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_H35 zenon_H5d zenon_H5f. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.06 apply (zenon_L28_); trivial. % 0.86/1.06 apply (zenon_L532_); trivial. % 0.86/1.06 (* end of lemma zenon_L533_ *) % 0.86/1.06 assert (zenon_L534_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12))))))\/((hskp26)\/(hskp11))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c3_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a773))/\((c1_1 (a773))/\(~(c3_1 (a773))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H123 zenon_H1f zenon_H21 zenon_H1b3 zenon_H1fe zenon_H1b zenon_Hdf zenon_Hdd zenon_H103 zenon_H1f0 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hfb zenon_H1d zenon_H2e zenon_H32 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H5f zenon_H5d zenon_H35 zenon_H37 zenon_H5 zenon_H11b zenon_Hf5 zenon_H116 zenon_H243 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hf6 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H250 zenon_H254 zenon_H4a zenon_H79 zenon_H124 zenon_H2e4 zenon_H2ff zenon_H1ea. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.06 apply (zenon_L432_); trivial. % 0.86/1.06 apply (zenon_L529_); trivial. % 0.86/1.06 apply (zenon_L533_); trivial. % 0.86/1.06 apply (zenon_L80_); trivial. % 0.86/1.06 (* end of lemma zenon_L534_ *) % 0.86/1.06 assert (zenon_L535_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H5 zenon_H19 zenon_H1b zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.06 apply (zenon_L523_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L55_); trivial. % 0.86/1.06 apply (zenon_L58_); trivial. % 0.86/1.06 (* end of lemma zenon_L535_ *) % 0.86/1.06 assert (zenon_L536_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H5 zenon_H19 zenon_H1b zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.06 apply (zenon_L523_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.06 apply (zenon_L55_); trivial. % 0.86/1.06 apply (zenon_L56_); trivial. % 0.86/1.06 (* end of lemma zenon_L536_ *) % 0.86/1.06 assert (zenon_L537_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H5 zenon_H19 zenon_H1b zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.06 apply (zenon_L61_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.06 apply (zenon_L62_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L536_); trivial. % 0.86/1.06 apply (zenon_L64_); trivial. % 0.86/1.06 apply (zenon_L64_); trivial. % 0.86/1.06 (* end of lemma zenon_L537_ *) % 0.86/1.06 assert (zenon_L538_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H32 zenon_H2e zenon_H1d zenon_Hdf zenon_H5b zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H5 zenon_H1b zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_L535_); trivial. % 0.86/1.06 apply (zenon_L537_); trivial. % 0.86/1.06 apply (zenon_L13_); trivial. % 0.86/1.06 (* end of lemma zenon_L538_ *) % 0.86/1.06 assert (zenon_L539_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (c1_1 (a709)) -> (c2_1 (a709)) -> (c3_1 (a709)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H3 zenon_H103 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H116 zenon_H6d zenon_H6c zenon_H6b zenon_H10d zenon_H10e zenon_H10f. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.06 apply (zenon_L61_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.06 apply (zenon_L62_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.06 apply (zenon_L530_); trivial. % 0.86/1.06 apply (zenon_L64_); trivial. % 0.86/1.06 apply (zenon_L76_); trivial. % 0.86/1.06 (* end of lemma zenon_L539_ *) % 0.86/1.06 assert (zenon_L540_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H11b zenon_H116 zenon_Hdf zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H3 zenon_H103 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_H12f zenon_H33 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_Hf5 zenon_Hfb. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.06 apply (zenon_L116_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.06 apply (zenon_L115_); trivial. % 0.86/1.06 apply (zenon_L539_); trivial. % 0.86/1.06 (* end of lemma zenon_L540_ *) % 0.86/1.06 assert (zenon_L541_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H74 zenon_H4a zenon_H142 zenon_H1d zenon_H5 zenon_H2e zenon_H4d zenon_H4c zenon_H4e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H12f zenon_Hf6 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdf zenon_H116 zenon_H11b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.07 apply (zenon_L540_); trivial. % 0.86/1.07 apply (zenon_L449_); trivial. % 0.86/1.07 (* end of lemma zenon_L541_ *) % 0.86/1.07 assert (zenon_L542_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (ndr1_0) -> (c0_1 (a714)) -> (c2_1 (a714)) -> (c3_1 (a714)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H80 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H1b zenon_H19 zenon_H5 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf zenon_Ha zenon_Heb zenon_Hec zenon_Hed. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.07 apply (zenon_L485_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L536_); trivial. % 0.86/1.07 apply (zenon_L64_); trivial. % 0.86/1.07 (* end of lemma zenon_L542_ *) % 0.86/1.07 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (~(hskp4)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf4 zenon_H2ff zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H5 zenon_H19 zenon_H1b zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H2e4. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H80 | zenon_intro zenon_H300 ]. % 0.86/1.07 apply (zenon_L542_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H1de | zenon_intro zenon_H2e5 ]. % 0.86/1.07 apply (zenon_L180_); trivial. % 0.86/1.07 exact (zenon_H2e4 zenon_H2e5). % 0.86/1.07 (* end of lemma zenon_L543_ *) % 0.86/1.07 assert (zenon_L544_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1eb zenon_H124 zenon_Hf5 zenon_H1d zenon_H2e zenon_H32 zenon_H18c zenon_Hdf zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H5 zenon_H1b zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H2e4 zenon_H2ff zenon_Hfb zenon_H103 zenon_H3 zenon_H79. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.07 apply (zenon_L535_); trivial. % 0.86/1.07 apply (zenon_L543_); trivial. % 0.86/1.07 apply (zenon_L194_); trivial. % 0.86/1.07 apply (zenon_L532_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L538_); trivial. % 0.86/1.07 apply (zenon_L532_); trivial. % 0.86/1.07 (* end of lemma zenon_L544_ *) % 0.86/1.07 assert (zenon_L545_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c2_1 (a725)) -> (~(c0_1 (a725))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a725))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H83 zenon_H81 zenon_H8a zenon_H82 zenon_Ha zenon_Ha7. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_Hbe | zenon_intro zenon_H302 ]. % 0.86/1.07 apply (zenon_L523_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H149 | zenon_intro zenon_Ha8 ]. % 0.86/1.07 apply (zenon_L157_); trivial. % 0.86/1.07 exact (zenon_Ha7 zenon_Ha8). % 0.86/1.07 (* end of lemma zenon_L545_ *) % 0.86/1.07 assert (zenon_L546_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c2_1 (a725)) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H83 zenon_H81 zenon_H82 zenon_Ha zenon_Ha7. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.07 apply (zenon_L37_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.07 apply (zenon_L22_); trivial. % 0.86/1.07 apply (zenon_L545_); trivial. % 0.86/1.07 (* end of lemma zenon_L546_ *) % 0.86/1.07 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H32 zenon_H11b zenon_H142 zenon_H20b zenon_H116 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H1f0 zenon_H5 zenon_H1b zenon_H1fe zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H95. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L546_); trivial. % 0.86/1.07 apply (zenon_L329_); trivial. % 0.86/1.07 (* end of lemma zenon_L547_ *) % 0.86/1.07 assert (zenon_L548_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H99 zenon_H1b3 zenon_H124 zenon_H32 zenon_H142 zenon_H20b zenon_H1f0 zenon_H5 zenon_H1b zenon_H1fe zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H4c zenon_H4d zenon_H4e zenon_H154 zenon_H95 zenon_H101 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.07 apply (zenon_L326_); trivial. % 0.86/1.07 apply (zenon_L547_); trivial. % 0.86/1.07 (* end of lemma zenon_L548_ *) % 0.86/1.07 assert (zenon_L549_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H74 zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Hfb zenon_Hf5 zenon_H132 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H12f zenon_Hf6 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdf zenon_H116 zenon_H11b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.07 apply (zenon_L540_); trivial. % 0.86/1.07 apply (zenon_L155_); trivial. % 0.86/1.07 (* end of lemma zenon_L549_ *) % 0.86/1.07 assert (zenon_L550_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1fe zenon_H1b zenon_H5 zenon_H19 zenon_H12f zenon_H33 zenon_H6d zenon_H6c zenon_H6b zenon_Ha zenon_H1f0 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hdf zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_Hfb. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.07 apply (zenon_L115_); trivial. % 0.86/1.07 apply (zenon_L525_); trivial. % 0.86/1.07 apply (zenon_L192_); trivial. % 0.86/1.07 (* end of lemma zenon_L550_ *) % 0.86/1.07 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H12f zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H144 zenon_H4a zenon_H1fe zenon_H1b zenon_H5 zenon_Hdf zenon_Hdd zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_H1f0 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hfb zenon_H1d zenon_H2e zenon_H32. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L527_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.07 apply (zenon_L550_); trivial. % 0.86/1.07 apply (zenon_L155_); trivial. % 0.86/1.07 apply (zenon_L13_); trivial. % 0.86/1.07 (* end of lemma zenon_L551_ *) % 0.86/1.07 assert (zenon_L552_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (~(c1_1 (a720))) -> (~(c2_1 (a720))) -> (c3_1 (a720)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H12f zenon_H4a zenon_H1fe zenon_H1b zenon_H5 zenon_Hdd zenon_H1f0 zenon_Hfb zenon_H1d zenon_H2e zenon_H32 zenon_H16f zenon_H275 zenon_H25b zenon_H25a zenon_H259 zenon_H1b4 zenon_H1b5 zenon_H1b6 zenon_H154 zenon_H144 zenon_Hf6 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H103 zenon_H3 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdf zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H2e4 zenon_H2ff zenon_H79. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L356_); trivial. % 0.86/1.07 apply (zenon_L532_); trivial. % 0.86/1.07 apply (zenon_L551_); trivial. % 0.86/1.07 (* end of lemma zenon_L552_ *) % 0.86/1.07 assert (zenon_L553_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H11b zenon_H116 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H95. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L546_); trivial. % 0.86/1.07 apply (zenon_L352_); trivial. % 0.86/1.07 (* end of lemma zenon_L553_ *) % 0.86/1.07 assert (zenon_L554_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H4c zenon_H4d zenon_H4e zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H95 zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H16f zenon_H275 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.07 apply (zenon_L336_); trivial. % 0.86/1.07 apply (zenon_L553_); trivial. % 0.86/1.07 (* end of lemma zenon_L554_ *) % 0.86/1.07 assert (zenon_L555_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H57 zenon_H9d zenon_H1ea zenon_H1e8 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H95 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H301 zenon_H20b zenon_H1b3 zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H21. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.86/1.07 apply (zenon_L33_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.07 apply (zenon_L554_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.07 apply (zenon_L301_); trivial. % 0.86/1.07 apply (zenon_L553_); trivial. % 0.86/1.07 (* end of lemma zenon_L555_ *) % 0.86/1.07 assert (zenon_L556_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H125 zenon_H20e zenon_H144 zenon_H9d zenon_H1ea zenon_H147 zenon_H1e8 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H20b zenon_H75 zenon_H1b3 zenon_H1d zenon_H21 zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H95 zenon_H5a. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.07 apply (zenon_L349_); trivial. % 0.86/1.07 apply (zenon_L555_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.07 apply (zenon_L358_); trivial. % 0.86/1.07 apply (zenon_L555_); trivial. % 0.86/1.07 (* end of lemma zenon_L556_ *) % 0.86/1.07 assert (zenon_L557_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a730))/\((c3_1 (a730))/\(~(c2_1 (a730))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((hskp1)\/(hskp12))) -> (~(hskp7)) -> ((hskp7)\/((hskp14)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a780))/\((~(c1_1 (a780)))/\(~(c3_1 (a780))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a723))/\((c1_1 (a723))/\(c3_1 (a723)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp31)\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((hskp30)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp18)\/(hskp17))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp16)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp29)\/((hskp18)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a720))/\((~(c1_1 (a720)))/\(~(c2_1 (a720))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H128 zenon_H20b zenon_H75 zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H95 zenon_H5a zenon_H55 zenon_H123 zenon_H32 zenon_H2e zenon_H1b zenon_H1d zenon_H21 zenon_H1 zenon_H7 zenon_H1b3 zenon_H4a zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H37 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_H16f zenon_H275 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H154 zenon_H116 zenon_H11b zenon_H79 zenon_H124 zenon_H28c zenon_H28b zenon_Hf5 zenon_H28a zenon_H12e zenon_Hfb zenon_H18c zenon_H186 zenon_H1e8 zenon_H147 zenon_H1ea zenon_H9d zenon_H20e. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.86/1.07 apply (zenon_L453_); trivial. % 0.86/1.07 apply (zenon_L556_); trivial. % 0.86/1.07 (* end of lemma zenon_L557_ *) % 0.86/1.07 assert (zenon_L558_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H1b zenon_H19 zenon_H5 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.07 apply (zenon_L211_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L536_); trivial. % 0.86/1.07 apply (zenon_L64_); trivial. % 0.86/1.07 (* end of lemma zenon_L558_ *) % 0.86/1.07 assert (zenon_L559_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c2_1 (a717))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (ndr1_0) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H32 zenon_H2e zenon_H1d zenon_Hdf zenon_H5b zenon_Hdd zenon_Hc4 zenon_Hc5 zenon_Hce zenon_H5 zenon_H1b zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Ha zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hfb. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.07 apply (zenon_L535_); trivial. % 0.86/1.07 apply (zenon_L558_); trivial. % 0.86/1.07 apply (zenon_L13_); trivial. % 0.86/1.07 (* end of lemma zenon_L559_ *) % 0.86/1.07 assert (zenon_L560_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1eb zenon_H79 zenon_H2ff zenon_H2e4 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H3 zenon_H103 zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H1b zenon_H5 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdd zenon_Hdf zenon_H1d zenon_H2e zenon_H32. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L559_); trivial. % 0.86/1.07 apply (zenon_L532_); trivial. % 0.86/1.07 (* end of lemma zenon_L560_ *) % 0.86/1.07 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H32 zenon_H11b zenon_H142 zenon_H20b zenon_H116 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H1f0 zenon_H5 zenon_H1b zenon_H1fe zenon_H81 zenon_H82 zenon_H83 zenon_H4c zenon_H4d zenon_H4e zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H95. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L546_); trivial. % 0.86/1.07 apply (zenon_L373_); trivial. % 0.86/1.07 (* end of lemma zenon_L561_ *) % 0.86/1.07 assert (zenon_L562_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1b3 zenon_H32 zenon_H142 zenon_H20b zenon_H1f0 zenon_H5 zenon_H1b zenon_H1fe zenon_H4c zenon_H4d zenon_H4e zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H95 zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_H16f zenon_H275 zenon_H132 zenon_H217 zenon_H216 zenon_H215 zenon_H81 zenon_H82 zenon_H83 zenon_H154 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.07 apply (zenon_L336_); trivial. % 0.86/1.07 apply (zenon_L561_); trivial. % 0.86/1.07 (* end of lemma zenon_L562_ *) % 0.86/1.07 assert (zenon_L563_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H99 zenon_H1ea zenon_H1e8 zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H154 zenon_H215 zenon_H216 zenon_H217 zenon_H132 zenon_H275 zenon_H16f zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H95 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H301 zenon_H4e zenon_H4d zenon_H4c zenon_H1fe zenon_H1b zenon_H5 zenon_H1f0 zenon_H20b zenon_H142 zenon_H32 zenon_H1b3. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.07 apply (zenon_L562_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.07 apply (zenon_L301_); trivial. % 0.86/1.07 apply (zenon_L561_); trivial. % 0.86/1.07 (* end of lemma zenon_L563_ *) % 0.86/1.07 assert (zenon_L564_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a720)) -> (~(c2_1 (a720))) -> (~(c1_1 (a720))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp30)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c2_1 (a717))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp1)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H124 zenon_H79 zenon_H4a zenon_H144 zenon_H1b6 zenon_H1b5 zenon_H1b4 zenon_Hf5 zenon_H132 zenon_H12f zenon_H103 zenon_H3 zenon_H116 zenon_H11b zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H1b zenon_H5 zenon_Hce zenon_Hc5 zenon_Hc4 zenon_Hdd zenon_Hdf zenon_H1d zenon_H2e zenon_H32 zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L269_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L559_); trivial. % 0.86/1.07 apply (zenon_L549_); trivial. % 0.86/1.07 (* end of lemma zenon_L564_ *) % 0.86/1.07 assert (zenon_L565_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hce zenon_Hc5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.07 apply (zenon_L523_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.07 apply (zenon_L465_); trivial. % 0.86/1.07 apply (zenon_L56_); trivial. % 0.86/1.07 (* end of lemma zenon_L565_ *) % 0.86/1.07 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H116 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L61_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.07 apply (zenon_L62_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L565_); trivial. % 0.86/1.07 apply (zenon_L76_); trivial. % 0.86/1.07 apply (zenon_L76_); trivial. % 0.86/1.07 (* end of lemma zenon_L566_ *) % 0.86/1.07 assert (zenon_L567_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H74 zenon_H4a zenon_H11b zenon_Hf5 zenon_Hdf zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H116 zenon_Hf6 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H5 zenon_H35 zenon_H37. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.07 apply (zenon_L17_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.07 apply (zenon_L420_); trivial. % 0.86/1.07 apply (zenon_L566_); trivial. % 0.86/1.07 (* end of lemma zenon_L567_ *) % 0.86/1.07 assert (zenon_L568_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H124 zenon_H79 zenon_H4a zenon_H11b zenon_Hf5 zenon_Hdf zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H116 zenon_Hf6 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H5 zenon_H37 zenon_H35 zenon_H5d zenon_H5f zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L269_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L28_); trivial. % 0.86/1.07 apply (zenon_L567_); trivial. % 0.86/1.07 (* end of lemma zenon_L568_ *) % 0.86/1.07 assert (zenon_L569_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Ha zenon_Hdb zenon_H5b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbe | zenon_intro zenon_He0 ]. % 0.86/1.07 apply (zenon_L523_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd4 ]. % 0.86/1.07 apply (zenon_L465_); trivial. % 0.86/1.07 apply (zenon_L58_); trivial. % 0.86/1.07 (* end of lemma zenon_L569_ *) % 0.86/1.07 assert (zenon_L570_ : ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp17)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H301 zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_He7 zenon_Ha zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1e1 zenon_H144 zenon_Ha7. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_Hbe | zenon_intro zenon_H302 ]. % 0.86/1.07 apply (zenon_L523_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H149 | zenon_intro zenon_Ha8 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H9e | zenon_intro zenon_H39 ]. % 0.86/1.07 apply (zenon_L418_); trivial. % 0.86/1.07 apply (zenon_L313_); trivial. % 0.86/1.07 exact (zenon_Ha7 zenon_Ha8). % 0.86/1.07 (* end of lemma zenon_L570_ *) % 0.86/1.07 assert (zenon_L571_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_Ha7 zenon_H144 zenon_H1e1 zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H301 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.07 apply (zenon_L570_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L565_); trivial. % 0.86/1.07 apply (zenon_L64_); trivial. % 0.86/1.07 (* end of lemma zenon_L571_ *) % 0.86/1.07 assert (zenon_L572_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(hskp17)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hfb zenon_Hf6 zenon_H144 zenon_H1e1 zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Ha7 zenon_H301 zenon_Ha zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_H5b zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.07 apply (zenon_L569_); trivial. % 0.86/1.07 apply (zenon_L571_); trivial. % 0.86/1.07 (* end of lemma zenon_L572_ *) % 0.86/1.07 assert (zenon_L573_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.07 apply (zenon_L485_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L565_); trivial. % 0.86/1.07 apply (zenon_L73_); trivial. % 0.86/1.07 (* end of lemma zenon_L573_ *) % 0.86/1.07 assert (zenon_L574_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H118 zenon_H116 zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.07 apply (zenon_L573_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.07 apply (zenon_L30_); trivial. % 0.86/1.07 apply (zenon_L75_); trivial. % 0.86/1.07 (* end of lemma zenon_L574_ *) % 0.86/1.07 assert (zenon_L575_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H74 zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hdf zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.07 apply (zenon_L181_); trivial. % 0.86/1.07 apply (zenon_L574_); trivial. % 0.86/1.07 (* end of lemma zenon_L575_ *) % 0.86/1.07 assert (zenon_L576_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a731))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (ndr1_0) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H79 zenon_H11b zenon_H116 zenon_H1df zenon_H1e8 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Ha zenon_H301 zenon_Ha7 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1e1 zenon_H144 zenon_Hf6 zenon_Hfb. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L572_); trivial. % 0.86/1.07 apply (zenon_L575_); trivial. % 0.86/1.07 (* end of lemma zenon_L576_ *) % 0.86/1.07 assert (zenon_L577_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (ndr1_0) -> (c0_1 (a714)) -> (c2_1 (a714)) -> (c3_1 (a714)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H80 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf zenon_Ha zenon_Heb zenon_Hec zenon_Hed. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.07 apply (zenon_L485_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L565_); trivial. % 0.86/1.07 apply (zenon_L64_); trivial. % 0.86/1.07 (* end of lemma zenon_L577_ *) % 0.86/1.07 assert (zenon_L578_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L61_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L577_); trivial. % 0.86/1.07 apply (zenon_L64_); trivial. % 0.86/1.07 (* end of lemma zenon_L578_ *) % 0.86/1.07 assert (zenon_L579_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_H5b zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.07 apply (zenon_L569_); trivial. % 0.86/1.07 apply (zenon_L578_); trivial. % 0.86/1.07 (* end of lemma zenon_L579_ *) % 0.86/1.07 assert (zenon_L580_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H11b zenon_H116 zenon_H132 zenon_H5 zenon_H35 zenon_H37 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hf5 zenon_Hfb. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L579_); trivial. % 0.86/1.07 apply (zenon_L567_); trivial. % 0.86/1.07 (* end of lemma zenon_L580_ *) % 0.86/1.07 assert (zenon_L581_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1eb zenon_H124 zenon_H4a zenon_H132 zenon_H5 zenon_H35 zenon_H37 zenon_Hf5 zenon_Hfb zenon_Hf6 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H301 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_H1e8 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L576_); trivial. % 0.86/1.07 apply (zenon_L580_); trivial. % 0.86/1.07 (* end of lemma zenon_L581_ *) % 0.86/1.07 assert (zenon_L582_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_Hdf zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L61_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.07 apply (zenon_L62_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.07 apply (zenon_L565_); trivial. % 0.86/1.07 apply (zenon_L64_); trivial. % 0.86/1.07 apply (zenon_L64_); trivial. % 0.86/1.07 (* end of lemma zenon_L582_ *) % 0.86/1.07 assert (zenon_L583_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_H5b zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.07 apply (zenon_L569_); trivial. % 0.86/1.07 apply (zenon_L582_); trivial. % 0.86/1.07 (* end of lemma zenon_L583_ *) % 0.86/1.07 assert (zenon_L584_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H74 zenon_H11b zenon_Hf5 zenon_Hdf zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H116 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.07 apply (zenon_L69_); trivial. % 0.86/1.07 apply (zenon_L566_); trivial. % 0.86/1.07 (* end of lemma zenon_L584_ *) % 0.86/1.07 assert (zenon_L585_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H4c zenon_H4d zenon_H4e zenon_H101 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L583_); trivial. % 0.86/1.07 apply (zenon_L584_); trivial. % 0.86/1.07 (* end of lemma zenon_L585_ *) % 0.86/1.07 assert (zenon_L586_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H4c zenon_H4d zenon_H4e zenon_H101 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L269_); trivial. % 0.86/1.07 apply (zenon_L585_); trivial. % 0.86/1.07 (* end of lemma zenon_L586_ *) % 0.86/1.07 assert (zenon_L587_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H4c zenon_H4d zenon_H4e zenon_H101 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hf5 zenon_Hfb. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.07 apply (zenon_L579_); trivial. % 0.86/1.07 apply (zenon_L584_); trivial. % 0.86/1.07 (* end of lemma zenon_L587_ *) % 0.86/1.07 assert (zenon_L588_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1eb zenon_H124 zenon_H4c zenon_H4d zenon_H4e zenon_H101 zenon_Hf5 zenon_Hfb zenon_Hf6 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H301 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_H1e8 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.07 apply (zenon_L576_); trivial. % 0.86/1.07 apply (zenon_L587_); trivial. % 0.86/1.07 (* end of lemma zenon_L588_ *) % 0.86/1.07 assert (zenon_L589_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H57 zenon_H1ea zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H301 zenon_H1e8 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_H101 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.07 apply (zenon_L586_); trivial. % 0.86/1.07 apply (zenon_L588_); trivial. % 0.86/1.07 (* end of lemma zenon_L589_ *) % 0.86/1.07 assert (zenon_L590_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/((hskp24)\/(hskp18))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c3_1 X6))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a762))/\((c3_1 (a762))/\(~(c2_1 (a762))))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H124 zenon_H79 zenon_H11b zenon_Hf5 zenon_Hdf zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H116 zenon_Hf6 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H95 zenon_H154 zenon_H4e zenon_H4d zenon_H4c zenon_H83 zenon_H82 zenon_H81 zenon_H184 zenon_H275 zenon_H16f zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.08 apply (zenon_L269_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L300_); trivial. % 0.86/1.08 apply (zenon_L584_); trivial. % 0.86/1.08 (* end of lemma zenon_L590_ *) % 0.86/1.08 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Hc5 zenon_Hce zenon_Hc4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_Hdf. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L211_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L565_); trivial. % 0.86/1.08 apply (zenon_L64_); trivial. % 0.86/1.08 (* end of lemma zenon_L591_ *) % 0.86/1.08 assert (zenon_L592_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (ndr1_0) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_Ha zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_H5b zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.08 apply (zenon_L569_); trivial. % 0.86/1.08 apply (zenon_L591_); trivial. % 0.86/1.08 (* end of lemma zenon_L592_ *) % 0.86/1.08 assert (zenon_L593_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H1eb zenon_H79 zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H1e8 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hfb. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L592_); trivial. % 0.86/1.08 apply (zenon_L575_); trivial. % 0.86/1.08 (* end of lemma zenon_L593_ *) % 0.86/1.08 assert (zenon_L594_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H57 zenon_H1ea zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_H101 zenon_H116 zenon_Hf5 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.08 apply (zenon_L269_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L592_); trivial. % 0.86/1.08 apply (zenon_L584_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L592_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.08 apply (zenon_L69_); trivial. % 0.86/1.08 apply (zenon_L574_); trivial. % 0.86/1.08 (* end of lemma zenon_L594_ *) % 0.86/1.08 assert (zenon_L595_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H132 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hfb. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L592_); trivial. % 0.86/1.08 apply (zenon_L232_); trivial. % 0.86/1.08 (* end of lemma zenon_L595_ *) % 0.86/1.08 assert (zenon_L596_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> (~(c0_1 (a713))) -> (~(c2_1 (a713))) -> (~(c3_1 (a713))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H124 zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H132 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_H215 zenon_H216 zenon_H217 zenon_Hf6 zenon_Hfb zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.08 apply (zenon_L269_); trivial. % 0.86/1.08 apply (zenon_L595_); trivial. % 0.86/1.08 (* end of lemma zenon_L596_ *) % 0.86/1.08 assert (zenon_L597_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a725)) -> (~(c1_1 (a725))) -> (~(c0_1 (a725))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a711)) -> (~(c3_1 (a711))) -> (~(c1_1 (a711))) -> (~(c3_1 (a710))) -> (~(c2_1 (a710))) -> (~(c1_1 (a710))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H11c zenon_H79 zenon_H11b zenon_H116 zenon_H83 zenon_H82 zenon_H81 zenon_H1e8 zenon_Hdf zenon_Hc4 zenon_Hce zenon_Hc5 zenon_Hdd zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2f8 zenon_H2f7 zenon_H2f6 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_Hf5 zenon_Hfb. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L579_); trivial. % 0.86/1.08 apply (zenon_L182_); trivial. % 0.86/1.08 (* end of lemma zenon_L597_ *) % 0.86/1.08 assert (zenon_L598_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c0_1 (a725))) -> (~(c1_1 (a725))) -> (c2_1 (a725)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H1eb zenon_H124 zenon_Hf5 zenon_Hfb zenon_Hf6 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H301 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_H1e8 zenon_H81 zenon_H82 zenon_H83 zenon_H116 zenon_H11b zenon_H79. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L572_); trivial. % 0.86/1.08 apply (zenon_L182_); trivial. % 0.86/1.08 apply (zenon_L597_); trivial. % 0.86/1.08 (* end of lemma zenon_L598_ *) % 0.86/1.08 assert (zenon_L599_ : ((ndr1_0)/\((c2_1 (a725))/\((~(c0_1 (a725)))/\(~(c1_1 (a725)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X74 : zenon_U, ((ndr1_0)->((c1_1 X74)\/((c3_1 X74)\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a713))) -> (~(c2_1 (a713))) -> (~(c0_1 (a713))) -> (~(c1_1 (a710))) -> (~(c2_1 (a710))) -> (~(c3_1 (a710))) -> (~(c1_1 (a711))) -> (~(c3_1 (a711))) -> (c0_1 (a711)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a717)) -> (~(c3_1 (a717))) -> (~(c2_1 (a717))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c1_1 X70)\/((c2_1 X70)\/(c3_1 X70)))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c0_1 X71))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c1_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H99 zenon_H1ea zenon_Hf5 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H301 zenon_H1e8 zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_Hfb zenon_Hf6 zenon_H217 zenon_H216 zenon_H215 zenon_H2f6 zenon_H2f7 zenon_H2f8 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hdd zenon_Hc5 zenon_Hce zenon_Hc4 zenon_Hdf zenon_H132 zenon_H116 zenon_H11b zenon_H79 zenon_H124. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.86/1.08 apply (zenon_L596_); trivial. % 0.86/1.08 apply (zenon_L598_); trivial. % 0.86/1.08 (* end of lemma zenon_L599_ *) % 0.86/1.08 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H3a zenon_H3b zenon_H3c zenon_H144 zenon_H2bd zenon_H2bc zenon_H2bb. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L419_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L64_); trivial. % 0.86/1.08 (* end of lemma zenon_L600_ *) % 0.86/1.08 assert (zenon_L601_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H4a zenon_Hfb zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H5b zenon_Hdd zenon_Ha zenon_H2bb zenon_H2bc zenon_H2bd zenon_H184 zenon_H2a4. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.08 apply (zenon_L379_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.08 apply (zenon_L398_); trivial. % 0.86/1.08 apply (zenon_L600_); trivial. % 0.86/1.08 (* end of lemma zenon_L601_ *) % 0.86/1.08 assert (zenon_L602_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H3a zenon_H3b zenon_H3c zenon_H144 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4b zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L419_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L390_); trivial. % 0.86/1.08 (* end of lemma zenon_L602_ *) % 0.86/1.08 assert (zenon_L603_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H45 zenon_H55 zenon_H6b zenon_H6d zenon_H6c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1 zenon_H5. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H4b | zenon_intro zenon_H56 ]. % 0.86/1.08 apply (zenon_L602_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2 | zenon_intro zenon_H6 ]. % 0.86/1.08 exact (zenon_H1 zenon_H2). % 0.86/1.08 exact (zenon_H5 zenon_H6). % 0.86/1.08 (* end of lemma zenon_L603_ *) % 0.86/1.08 assert (zenon_L604_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (~(hskp16)) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H79 zenon_H55 zenon_H5 zenon_H1 zenon_H2a4 zenon_H184 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_Hdd zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hfb zenon_H4a. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L601_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.08 apply (zenon_L379_); trivial. % 0.86/1.08 apply (zenon_L603_); trivial. % 0.86/1.08 (* end of lemma zenon_L604_ *) % 0.86/1.08 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1f0 zenon_H2bd zenon_H2bc zenon_H2bb. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L433_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L64_); trivial. % 0.86/1.08 (* end of lemma zenon_L605_ *) % 0.86/1.08 assert (zenon_L606_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp2)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H2d zenon_H22c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H22a. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H23 | zenon_intro zenon_H22d ]. % 0.86/1.08 apply (zenon_L12_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H22b ]. % 0.86/1.08 apply (zenon_L151_); trivial. % 0.86/1.08 exact (zenon_H22a zenon_H22b). % 0.86/1.08 (* end of lemma zenon_L606_ *) % 0.86/1.08 assert (zenon_L607_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H32 zenon_H22c zenon_H22a zenon_Hfb zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1f0 zenon_Ha zenon_H2bb zenon_H2bc zenon_H2bd zenon_H5b zenon_Hdd zenon_H5 zenon_H1b zenon_H1fe. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.08 apply (zenon_L398_); trivial. % 0.86/1.08 apply (zenon_L605_); trivial. % 0.86/1.08 apply (zenon_L192_); trivial. % 0.86/1.08 apply (zenon_L606_); trivial. % 0.86/1.08 (* end of lemma zenon_L607_ *) % 0.86/1.08 assert (zenon_L608_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a756))) -> (c1_1 (a756)) -> (c2_1 (a756)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H3a zenon_H3b zenon_H3c zenon_H144 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L419_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L73_); trivial. % 0.86/1.08 (* end of lemma zenon_L608_ *) % 0.86/1.08 assert (zenon_L609_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H45 zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H144 zenon_H4e zenon_H4c zenon_H4d. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.08 apply (zenon_L608_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.08 apply (zenon_L602_); trivial. % 0.86/1.08 apply (zenon_L98_); trivial. % 0.86/1.08 (* end of lemma zenon_L609_ *) % 0.86/1.08 assert (zenon_L610_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H74 zenon_H4a zenon_H95 zenon_H4d zenon_H4c zenon_H4e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H184 zenon_H2a4. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.86/1.08 apply (zenon_L379_); trivial. % 0.86/1.08 apply (zenon_L609_); trivial. % 0.86/1.08 (* end of lemma zenon_L610_ *) % 0.86/1.08 assert (zenon_L611_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp23)) -> (~(c1_1 (a732))) -> (c0_1 (a732)) -> (c3_1 (a732)) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf6 zenon_H1ee zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1f0 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4b zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L433_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L390_); trivial. % 0.86/1.08 (* end of lemma zenon_L611_ *) % 0.86/1.08 assert (zenon_L612_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H95 zenon_H4d zenon_H4c zenon_H4e zenon_H1fe zenon_H1b zenon_H5 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1f0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hfb zenon_H22a zenon_H22c zenon_H32. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L607_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L433_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L73_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.08 apply (zenon_L611_); trivial. % 0.86/1.08 apply (zenon_L190_); trivial. % 0.86/1.08 apply (zenon_L192_); trivial. % 0.86/1.08 apply (zenon_L606_); trivial. % 0.86/1.08 (* end of lemma zenon_L612_ *) % 0.86/1.08 assert (zenon_L613_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H57 zenon_H1b3 zenon_H1fe zenon_H1b zenon_H5 zenon_H1f0 zenon_H22a zenon_H22c zenon_H32 zenon_H4a zenon_Hfb zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_Hdd zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2a4 zenon_H95 zenon_H79. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L601_); trivial. % 0.86/1.08 apply (zenon_L610_); trivial. % 0.86/1.08 apply (zenon_L612_); trivial. % 0.86/1.08 (* end of lemma zenon_L613_ *) % 0.86/1.08 assert (zenon_L614_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H20b zenon_H63 zenon_H62 zenon_H61 zenon_H2bd zenon_H2bc zenon_H2bb zenon_He7 zenon_Ha zenon_H2d6 zenon_H2d7 zenon_H2d8. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.86/1.08 apply (zenon_L29_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L418_); trivial. % 0.86/1.08 (* end of lemma zenon_L614_ *) % 0.86/1.08 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf4 zenon_Hf6 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L614_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L64_); trivial. % 0.86/1.08 (* end of lemma zenon_L615_ *) % 0.86/1.08 assert (zenon_L616_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(c0_1 (a718))) -> (~(c2_1 (a718))) -> (c1_1 (a718)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf6 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H61 zenon_H62 zenon_H63 zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L614_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L73_); trivial. % 0.86/1.08 (* end of lemma zenon_L616_ *) % 0.86/1.08 assert (zenon_L617_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a718)) -> (~(c2_1 (a718))) -> (~(c0_1 (a718))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H74 zenon_H95 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_Hf6 zenon_H20b zenon_H63 zenon_H62 zenon_H61 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4d zenon_H4c zenon_H4e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.86/1.08 apply (zenon_L616_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.86/1.08 apply (zenon_L22_); trivial. % 0.86/1.08 apply (zenon_L399_); trivial. % 0.86/1.08 (* end of lemma zenon_L617_ *) % 0.86/1.08 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a718))/\((~(c0_1 (a718)))/\(~(c2_1 (a718)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((hskp18)\/((hskp11)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H125 zenon_H5a zenon_H95 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_H20b zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hfb zenon_H5f zenon_H5d zenon_H75 zenon_H79. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.86/1.08 apply (zenon_L32_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.08 apply (zenon_L398_); trivial. % 0.86/1.08 apply (zenon_L615_); trivial. % 0.86/1.08 apply (zenon_L617_); trivial. % 0.86/1.08 (* end of lemma zenon_L618_ *) % 0.86/1.08 assert (zenon_L619_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H118 zenon_H116 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H144 zenon_H3c zenon_H3b zenon_H3a zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H6d zenon_H6c zenon_H6b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.86/1.08 apply (zenon_L608_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.86/1.08 apply (zenon_L30_); trivial. % 0.86/1.08 apply (zenon_L75_); trivial. % 0.86/1.08 (* end of lemma zenon_L619_ *) % 0.86/1.08 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hf4 zenon_Hf5 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L61_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.86/1.08 apply (zenon_L62_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L378_); trivial. % 0.86/1.08 apply (zenon_L64_); trivial. % 0.86/1.08 apply (zenon_L64_); trivial. % 0.86/1.08 (* end of lemma zenon_L620_ *) % 0.86/1.08 assert (zenon_L621_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Ha zenon_H2bb zenon_H2bc zenon_H2bd zenon_H5b zenon_Hdd. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.86/1.08 apply (zenon_L398_); trivial. % 0.86/1.08 apply (zenon_L620_); trivial. % 0.86/1.08 (* end of lemma zenon_L621_ *) % 0.86/1.08 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H45 zenon_H11b zenon_Hf5 zenon_H116 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H6c zenon_H6d zenon_H6b zenon_Hf6 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.86/1.08 apply (zenon_L420_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L61_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.86/1.08 apply (zenon_L608_); trivial. % 0.86/1.08 apply (zenon_L76_); trivial. % 0.86/1.08 (* end of lemma zenon_L622_ *) % 0.86/1.08 assert (zenon_L623_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H5 zenon_H35 zenon_H37 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.86/1.08 apply (zenon_L621_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.08 apply (zenon_L17_); trivial. % 0.94/1.08 apply (zenon_L622_); trivial. % 0.94/1.08 (* end of lemma zenon_L623_ *) % 0.94/1.08 assert (zenon_L624_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H124 zenon_H79 zenon_H4a zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H132 zenon_H5 zenon_H35 zenon_H37 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.08 apply (zenon_L269_); trivial. % 0.94/1.08 apply (zenon_L623_); trivial. % 0.94/1.08 (* end of lemma zenon_L624_ *) % 0.94/1.08 assert (zenon_L625_ : ((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H45 zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hf6 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H6b zenon_H6c zenon_H6d zenon_H1e8. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.08 apply (zenon_L181_); trivial. % 0.94/1.08 apply (zenon_L619_); trivial. % 0.94/1.08 (* end of lemma zenon_L625_ *) % 0.94/1.08 assert (zenon_L626_ : ((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H74 zenon_H4a zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hf6 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1e8 zenon_H5 zenon_H35 zenon_H37. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.08 apply (zenon_L17_); trivial. % 0.94/1.08 apply (zenon_L625_); trivial. % 0.94/1.08 (* end of lemma zenon_L626_ *) % 0.94/1.08 assert (zenon_L627_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H1eb zenon_H79 zenon_H4a zenon_H11b zenon_H116 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hf6 zenon_H1e8 zenon_H5 zenon_H37 zenon_H35 zenon_H5d zenon_H5f. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.08 apply (zenon_L28_); trivial. % 0.94/1.08 apply (zenon_L626_); trivial. % 0.94/1.08 (* end of lemma zenon_L627_ *) % 0.94/1.08 assert (zenon_L628_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp5)) -> ((hskp18)\/((hskp11)\/(hskp5))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((hskp22)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H1ea zenon_H1e8 zenon_H5d zenon_H5f zenon_H262 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdd zenon_H37 zenon_H35 zenon_H5 zenon_H132 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H116 zenon_H11b zenon_H4a zenon_H79 zenon_H124. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.08 apply (zenon_L624_); trivial. % 0.94/1.08 apply (zenon_L627_); trivial. % 0.94/1.08 (* end of lemma zenon_L628_ *) % 0.94/1.08 assert (zenon_L629_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H11c zenon_H79 zenon_H4a zenon_H95 zenon_H4d zenon_H4c zenon_H4e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H184 zenon_H2a4 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.08 apply (zenon_L621_); trivial. % 0.94/1.08 apply (zenon_L610_); trivial. % 0.94/1.08 (* end of lemma zenon_L629_ *) % 0.94/1.08 assert (zenon_L630_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (ndr1_0) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H124 zenon_H79 zenon_H4a zenon_H95 zenon_H4d zenon_H4c zenon_H4e zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H184 zenon_H2a4 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_Ha zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.08 apply (zenon_L269_); trivial. % 0.94/1.08 apply (zenon_L629_); trivial. % 0.94/1.08 (* end of lemma zenon_L630_ *) % 0.94/1.08 assert (zenon_L631_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.94/1.08 do 0 intro. intros zenon_H55 zenon_H6b zenon_H6d zenon_H6c zenon_Hea zenon_Ha zenon_H1 zenon_H5. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H4b | zenon_intro zenon_H56 ]. % 0.94/1.08 apply (zenon_L390_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2 | zenon_intro zenon_H6 ]. % 0.94/1.08 exact (zenon_H1 zenon_H2). % 0.94/1.08 exact (zenon_H5 zenon_H6). % 0.94/1.08 (* end of lemma zenon_L631_ *) % 0.94/1.08 assert (zenon_L632_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp29)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf5 zenon_Hff zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_H55 zenon_H6b zenon_H6d zenon_H6c zenon_Ha zenon_H1 zenon_H5. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.94/1.08 apply (zenon_L61_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.94/1.08 apply (zenon_L89_); trivial. % 0.94/1.08 apply (zenon_L631_); trivial. % 0.94/1.08 (* end of lemma zenon_L632_ *) % 0.94/1.08 assert (zenon_L633_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a734))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_H80 zenon_Hb5 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_H13b zenon_Ha zenon_H10e zenon_H10f zenon_H10d. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.94/1.08 apply (zenon_L62_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.94/1.08 apply (zenon_L378_); trivial. % 0.94/1.08 apply (zenon_L391_); trivial. % 0.94/1.08 (* end of lemma zenon_L633_ *) % 0.94/1.08 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_H95 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H1f0 zenon_H4e zenon_H4c zenon_H4d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee zenon_H142 zenon_H116 zenon_H6d zenon_H6c zenon_H6b. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.94/1.08 apply (zenon_L61_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.94/1.08 apply (zenon_L61_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.94/1.08 apply (zenon_L190_); trivial. % 0.94/1.08 apply (zenon_L633_); trivial. % 0.94/1.08 apply (zenon_L76_); trivial. % 0.94/1.08 (* end of lemma zenon_L634_ *) % 0.94/1.08 assert (zenon_L635_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H11b zenon_H116 zenon_H1f0 zenon_H1ee zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H4e zenon_H4c zenon_H4d zenon_Hf6 zenon_H95 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H142 zenon_Ha zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_H55 zenon_H5 zenon_H1 zenon_H6b zenon_H6d zenon_H6c zenon_Hf5. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.08 apply (zenon_L632_); trivial. % 0.94/1.08 apply (zenon_L634_); trivial. % 0.94/1.08 (* end of lemma zenon_L635_ *) % 0.94/1.08 assert (zenon_L636_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp28)) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf5 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_H170 zenon_H24 zenon_H25 zenon_H26 zenon_H172 zenon_H55 zenon_H6b zenon_H6d zenon_H6c zenon_Ha zenon_H1 zenon_H5. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.94/1.08 apply (zenon_L61_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.94/1.08 apply (zenon_L118_); trivial. % 0.94/1.08 apply (zenon_L631_); trivial. % 0.94/1.08 (* end of lemma zenon_L636_ *) % 0.94/1.08 assert (zenon_L637_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a741))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.94/1.08 do 0 intro. intros zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H17f zenon_H25 zenon_H26 zenon_H8a zenon_H24 zenon_H1a7 zenon_H1a5 zenon_Ha zenon_H175 zenon_H176 zenon_H177. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd | zenon_intro zenon_H20c ]. % 0.94/1.08 apply (zenon_L137_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H9e ]. % 0.94/1.08 apply (zenon_L378_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd | zenon_intro zenon_H182 ]. % 0.94/1.08 apply (zenon_L137_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H6a | zenon_intro zenon_H174 ]. % 0.94/1.08 apply (zenon_L226_); trivial. % 0.94/1.08 apply (zenon_L120_); trivial. % 0.94/1.08 (* end of lemma zenon_L637_ *) % 0.94/1.08 assert (zenon_L638_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a705)) -> (c1_1 (a705)) -> (c0_1 (a705)) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> (~(c0_1 (a741))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a734))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (ndr1_0) -> (c2_1 (a709)) -> (c3_1 (a709)) -> (c1_1 (a709)) -> False). % 0.94/1.08 do 0 intro. intros zenon_H142 zenon_H177 zenon_H176 zenon_H175 zenon_H1a5 zenon_H1a7 zenon_H24 zenon_H26 zenon_H25 zenon_H17f zenon_H20b zenon_Hf6 zenon_Hbf zenon_Hb6 zenon_H80 zenon_Hb5 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_Ha zenon_H10e zenon_H10f zenon_H10d. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_He3 | zenon_intro zenon_H143 ]. % 0.94/1.08 apply (zenon_L61_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H8a | zenon_intro zenon_H13b ]. % 0.94/1.08 apply (zenon_L637_); trivial. % 0.94/1.08 apply (zenon_L633_); trivial. % 0.94/1.08 (* end of lemma zenon_L638_ *) % 0.94/1.08 assert (zenon_L639_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (ndr1_0) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.94/1.08 do 0 intro. intros zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_Hea zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H17f zenon_H25 zenon_H26 zenon_H24 zenon_H1a7 zenon_H1a5 zenon_Ha zenon_H175 zenon_H176 zenon_H177. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.94/1.08 apply (zenon_L73_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.94/1.08 apply (zenon_L390_); trivial. % 0.94/1.08 apply (zenon_L637_); trivial. % 0.94/1.08 (* end of lemma zenon_L639_ *) % 0.94/1.08 assert (zenon_L640_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> (c0_1 (a705)) -> (c1_1 (a705)) -> (c2_1 (a705)) -> False). % 0.94/1.08 do 0 intro. intros zenon_H118 zenon_Hf5 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_Hf6 zenon_H142 zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H17f zenon_H25 zenon_H26 zenon_H24 zenon_H1a7 zenon_H1a5 zenon_H175 zenon_H176 zenon_H177. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.94/1.08 apply (zenon_L61_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.94/1.08 apply (zenon_L638_); trivial. % 0.94/1.08 apply (zenon_L639_); trivial. % 0.94/1.08 (* end of lemma zenon_L640_ *) % 0.94/1.08 assert (zenon_L641_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H17e zenon_H11b zenon_H20b zenon_H1a5 zenon_H1a7 zenon_H17f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H25 zenon_H26 zenon_H24 zenon_Hf6 zenon_H95 zenon_H142 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H132 zenon_H55 zenon_H5 zenon_H1 zenon_H6b zenon_H6d zenon_H6c zenon_Hf5. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.08 apply (zenon_L632_); trivial. % 0.94/1.08 apply (zenon_L640_); trivial. % 0.94/1.08 (* end of lemma zenon_L641_ *) % 0.94/1.08 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> (~(c0_1 (a734))) -> (~(c1_1 (a734))) -> (~(c3_1 (a734))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H2d zenon_H183 zenon_H11b zenon_H20b zenon_H1a5 zenon_H1a7 zenon_H17f zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_H95 zenon_H142 zenon_H132 zenon_Hb5 zenon_Hb6 zenon_Hbf zenon_H172 zenon_H6b zenon_H6d zenon_H6c zenon_H55 zenon_H5 zenon_H1 zenon_Hf5. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.94/1.08 apply (zenon_L636_); trivial. % 0.94/1.08 apply (zenon_L641_); trivial. % 0.94/1.08 (* end of lemma zenon_L642_ *) % 0.94/1.08 assert (zenon_L643_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H1b3 zenon_H32 zenon_H183 zenon_H20b zenon_H17f zenon_H172 zenon_H11b zenon_H116 zenon_H1f0 zenon_H142 zenon_H132 zenon_H55 zenon_H5 zenon_H1 zenon_H1b zenon_H1fe zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdd zenon_H2a4 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H4e zenon_H4c zenon_H4d zenon_H95 zenon_H4a zenon_H79 zenon_H124. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.08 apply (zenon_L630_); trivial. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.08 apply (zenon_L269_); trivial. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.08 apply (zenon_L621_); trivial. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.94/1.08 apply (zenon_L635_); trivial. % 0.94/1.08 apply (zenon_L192_); trivial. % 0.94/1.08 apply (zenon_L642_); trivial. % 0.94/1.08 (* end of lemma zenon_L643_ *) % 0.94/1.08 assert (zenon_L644_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (ndr1_0) -> (c0_1 (a714)) -> (c2_1 (a714)) -> (c3_1 (a714)) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H80 zenon_H1df zenon_H1e1 zenon_H144 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Ha zenon_Heb zenon_Hec zenon_Hed. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.94/1.08 apply (zenon_L485_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.94/1.08 apply (zenon_L378_); trivial. % 0.94/1.08 apply (zenon_L64_); trivial. % 0.94/1.08 (* end of lemma zenon_L644_ *) % 0.94/1.08 assert (zenon_L645_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a756)) -> (c1_1 (a756)) -> (~(c3_1 (a756))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf4 zenon_H95 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H144 zenon_H3c zenon_H3b zenon_H3a zenon_H4e zenon_H4c zenon_H4d. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.94/1.08 apply (zenon_L644_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.94/1.08 apply (zenon_L22_); trivial. % 0.94/1.08 apply (zenon_L98_); trivial. % 0.94/1.08 (* end of lemma zenon_L645_ *) % 0.94/1.08 assert (zenon_L646_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> (~(hskp23)) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf4 zenon_H95 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H1f0 zenon_H4e zenon_H4c zenon_H4d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1ee. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.94/1.08 apply (zenon_L644_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.94/1.08 apply (zenon_L22_); trivial. % 0.94/1.08 apply (zenon_L190_); trivial. % 0.94/1.08 (* end of lemma zenon_L646_ *) % 0.94/1.08 assert (zenon_L647_ : ((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> (c3_1 (a721)) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf4 zenon_H95 zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H20b zenon_H25 zenon_H26 zenon_H24 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4d zenon_H4c zenon_H4e. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Ha. zenon_intro zenon_Hf7. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_Heb. zenon_intro zenon_Hf8. % 0.94/1.08 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.94/1.08 apply (zenon_L644_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.94/1.08 apply (zenon_L22_); trivial. % 0.94/1.08 apply (zenon_L395_); trivial. % 0.94/1.08 (* end of lemma zenon_L647_ *) % 0.94/1.08 assert (zenon_L648_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H2d zenon_Hfb zenon_H95 zenon_H20b zenon_H4e zenon_H4d zenon_H4c zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H5b zenon_Hdd. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.94/1.08 apply (zenon_L398_); trivial. % 0.94/1.08 apply (zenon_L647_); trivial. % 0.94/1.08 (* end of lemma zenon_L648_ *) % 0.94/1.08 assert (zenon_L649_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (c2_1 (a739)) -> (c3_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.94/1.08 do 0 intro. intros zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H80 zenon_Ha zenon_H6c zenon_H6d zenon_H6b. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfa ]. % 0.94/1.08 apply (zenon_L485_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hea ]. % 0.94/1.08 apply (zenon_L378_); trivial. % 0.94/1.08 apply (zenon_L73_); trivial. % 0.94/1.08 (* end of lemma zenon_L649_ *) % 0.94/1.08 assert (zenon_L650_ : ((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp28)) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H118 zenon_H116 zenon_H170 zenon_H24 zenon_H25 zenon_H26 zenon_H172 zenon_H6d zenon_H6c zenon_H6b. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H80 | zenon_intro zenon_H117 ]. % 0.94/1.08 apply (zenon_L118_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H6a | zenon_intro zenon_H10c ]. % 0.94/1.08 apply (zenon_L30_); trivial. % 0.94/1.08 apply (zenon_L75_); trivial. % 0.94/1.08 (* end of lemma zenon_L650_ *) % 0.94/1.08 assert (zenon_L651_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(hskp28)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (ndr1_0) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (c2_1 (a731)) -> (~(c1_1 (a739))) -> (c2_1 (a739)) -> (c3_1 (a739)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H11b zenon_H116 zenon_H24 zenon_H25 zenon_H26 zenon_H170 zenon_H172 zenon_Ha zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H6b zenon_H6c zenon_H6d zenon_H1e8. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.08 apply (zenon_L181_); trivial. % 0.94/1.08 apply (zenon_L650_); trivial. % 0.94/1.08 (* end of lemma zenon_L651_ *) % 0.94/1.08 assert (zenon_L652_ : ((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c2_1 (a731)) -> (~(c0_1 (a731))) -> (~(c3_1 (a731))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H17e zenon_H95 zenon_H6b zenon_H6d zenon_H6c zenon_H144 zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_H4e zenon_H4d zenon_H4c zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H17f zenon_H25 zenon_H26 zenon_H24 zenon_H1a7 zenon_H1a5. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.94/1.08 apply (zenon_L649_); trivial. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.94/1.08 apply (zenon_L22_); trivial. % 0.94/1.08 apply (zenon_L637_); trivial. % 0.94/1.08 (* end of lemma zenon_L652_ *) % 0.94/1.08 assert (zenon_L653_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c3_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c1_1 (a739))) -> (c2_1 (a731)) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> False). % 0.94/1.08 do 0 intro. intros zenon_H2d zenon_H183 zenon_H95 zenon_H17f zenon_H1a7 zenon_H1a5 zenon_H20b zenon_H4e zenon_H4d zenon_H4c zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hf6 zenon_H1e8 zenon_H6d zenon_H6c zenon_H6b zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H172 zenon_H116 zenon_H11b. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.94/1.08 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.94/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.94/1.08 apply (zenon_L651_); trivial. % 0.94/1.08 apply (zenon_L652_); trivial. % 0.94/1.08 (* end of lemma zenon_L653_ *) % 0.94/1.08 assert (zenon_L654_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> (~(c3_1 (a731))) -> (~(c0_1 (a731))) -> (c2_1 (a731)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H1ae zenon_H79 zenon_H183 zenon_H17f zenon_H1e8 zenon_H172 zenon_H116 zenon_H11b zenon_H1fe zenon_H1b zenon_H5 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_H144 zenon_H4c zenon_H4d zenon_H4e zenon_H1f0 zenon_H95 zenon_Hfb zenon_H20b zenon_H32. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.94/1.09 apply (zenon_L398_); trivial. % 0.94/1.09 apply (zenon_L646_); trivial. % 0.94/1.09 apply (zenon_L192_); trivial. % 0.94/1.09 apply (zenon_L648_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.94/1.09 apply (zenon_L649_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.94/1.09 apply (zenon_L611_); trivial. % 0.94/1.09 apply (zenon_L190_); trivial. % 0.94/1.09 apply (zenon_L192_); trivial. % 0.94/1.09 apply (zenon_L653_); trivial. % 0.94/1.09 (* end of lemma zenon_L654_ *) % 0.94/1.09 assert (zenon_L655_ : ((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a721)) -> (~(c1_1 (a721))) -> (~(c0_1 (a721))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H1eb zenon_H1b3 zenon_H183 zenon_H17f zenon_H1e8 zenon_H172 zenon_H116 zenon_H11b zenon_H1fe zenon_H1b zenon_H5 zenon_H1f0 zenon_H20b zenon_H32 zenon_H4a zenon_Hfb zenon_H95 zenon_H4e zenon_H4d zenon_H4c zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_Hf6 zenon_Hdd zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2a4 zenon_H79. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L379_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.94/1.09 apply (zenon_L398_); trivial. % 0.94/1.09 apply (zenon_L645_); trivial. % 0.94/1.09 apply (zenon_L610_); trivial. % 0.94/1.09 apply (zenon_L654_); trivial. % 0.94/1.09 (* end of lemma zenon_L655_ *) % 0.94/1.09 assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a721))/\((~(c0_1 (a721)))/\(~(c1_1 (a721)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a731))/\((~(c0_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c2_1 X14))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (~(c1_1 (a706))) -> (~(c2_1 (a706))) -> (~(c0_1 (a706))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((hskp7)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H57 zenon_H1ea zenon_H1e8 zenon_H124 zenon_H79 zenon_H4a zenon_H95 zenon_H144 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H2a4 zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_H259 zenon_H25a zenon_H25b zenon_H262 zenon_H1fe zenon_H1b zenon_H1 zenon_H5 zenon_H55 zenon_H132 zenon_H142 zenon_H1f0 zenon_H116 zenon_H11b zenon_H172 zenon_H17f zenon_H20b zenon_H183 zenon_H32 zenon_H1b3. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_L643_); trivial. % 0.94/1.09 apply (zenon_L655_); trivial. % 0.94/1.09 (* end of lemma zenon_L656_ *) % 0.94/1.09 assert (zenon_L657_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a732))) -> (c3_1 (a732)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a734))) -> (~(c1_1 (a734))) -> (~(c0_1 (a734))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> (~(c1_1 (a739))) -> (c3_1 (a739)) -> (c2_1 (a739)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H2d zenon_H183 zenon_H11b zenon_Hf5 zenon_H1a5 zenon_H1a7 zenon_H17f zenon_Hf6 zenon_H142 zenon_Hbf zenon_Hb6 zenon_Hb5 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H172 zenon_H6b zenon_H6d zenon_H6c zenon_H4c zenon_H4d zenon_H4e zenon_H20b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H95. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_Ha. zenon_intro zenon_H2f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H25. zenon_intro zenon_H30. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H26. zenon_intro zenon_H24. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.94/1.09 apply (zenon_L396_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H175. zenon_intro zenon_H181. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H176. zenon_intro zenon_H177. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_L69_); trivial. % 0.94/1.09 apply (zenon_L640_); trivial. % 0.94/1.09 (* end of lemma zenon_L657_ *) % 0.94/1.09 assert (zenon_L658_ : ((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> (c3_1 (a732)) -> (c0_1 (a732)) -> (~(c1_1 (a732))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H11c zenon_H79 zenon_H32 zenon_H183 zenon_H17f zenon_H172 zenon_H20b zenon_H11b zenon_H116 zenon_H1f0 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H95 zenon_H142 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H5 zenon_H1b zenon_H1fe zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hf5 zenon_Hfb. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L621_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_L69_); trivial. % 0.94/1.09 apply (zenon_L634_); trivial. % 0.94/1.09 apply (zenon_L192_); trivial. % 0.94/1.09 apply (zenon_L657_); trivial. % 0.94/1.09 (* end of lemma zenon_L658_ *) % 0.94/1.09 assert (zenon_L659_ : ((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> (c3_1 (a721)) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> (c0_1 (a707)) -> (~(c2_1 (a707))) -> (~(c1_1 (a707))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> (~(c0_1 (a708))) -> (~(c3_1 (a708))) -> (c1_1 (a708)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H1ae zenon_H124 zenon_H79 zenon_H32 zenon_H183 zenon_H17f zenon_H172 zenon_H20b zenon_H11b zenon_H116 zenon_H1f0 zenon_H95 zenon_H142 zenon_H4c zenon_H4d zenon_H4e zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H5 zenon_H1b zenon_H1fe zenon_Hdd zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hf6 zenon_Hf5 zenon_Hfb zenon_H259 zenon_H25a zenon_H25b zenon_H1d4 zenon_H262. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_L658_); trivial. % 0.94/1.09 (* end of lemma zenon_L659_ *) % 0.94/1.09 assert (zenon_L660_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a732))/\((c3_1 (a732))/\(~(c1_1 (a732))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a705))/\((c1_1 (a705))/\(c2_1 (a705)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a709))/\((c2_1 (a709))/\(c3_1 (a709)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c3_1 X57))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a717))) -> (~(c3_1 (a717))) -> (c0_1 (a717)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c2_1 X25)\/((c3_1 X25)\/(~(c0_1 X25))))))\/(hskp29))) -> (~(hskp8)) -> ((forall X93 : zenon_U, ((ndr1_0)->((c2_1 X93)\/((~(c0_1 X93))\/(~(c1_1 X93))))))\/((hskp19)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a757))/\((c1_1 (a757))/\(~(c2_1 (a757))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp15)\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a708)) -> (~(c3_1 (a708))) -> (~(c0_1 (a708))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a714))/\((c2_1 (a714))/\(c3_1 (a714)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a707))) -> (~(c2_1 (a707))) -> (c0_1 (a707)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp30)\/(hskp18))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c2_1 X30)\/(~(c0_1 X30))))))\/((hskp16)\/(hskp22))) -> (~(c0_1 (a706))) -> (~(c2_1 (a706))) -> (~(c1_1 (a706))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(forall X81 : zenon_U, ((ndr1_0)->((c3_1 X81)\/((~(c1_1 X81))\/(~(c2_1 X81))))))) -> (c3_1 (a721)) -> (~(c0_1 (a721))) -> (~(c1_1 (a721))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(~(c2_1 X))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a756))/\((c2_1 (a756))/\(~(c3_1 (a756))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a739))/\((c3_1 (a739))/\(~(c1_1 (a739))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a734)))/\((~(c1_1 (a734)))/\(~(c3_1 (a734))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H1b3 zenon_H32 zenon_H183 zenon_H17f zenon_H172 zenon_H20b zenon_H11b zenon_H116 zenon_H1f0 zenon_H142 zenon_Hc4 zenon_Hce zenon_Hc5 zenon_H101 zenon_H5 zenon_H1b zenon_H1fe zenon_H262 zenon_H1d4 zenon_H25b zenon_H25a zenon_H259 zenon_Ha zenon_Hfb zenon_Hf5 zenon_Hf6 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdd zenon_H2a4 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H144 zenon_H4e zenon_H4c zenon_H4d zenon_H95 zenon_H4a zenon_H79 zenon_H124. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_L630_); trivial. % 0.94/1.09 apply (zenon_L659_); trivial. % 0.94/1.09 (* end of lemma zenon_L660_ *) % 0.94/1.09 apply NNPP. intro zenon_G. % 0.94/1.09 apply zenon_G. zenon_intro zenon_H303. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H305. zenon_intro zenon_H304. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H311. zenon_intro zenon_H310. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H20d. zenon_intro zenon_H312. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H128. zenon_intro zenon_H313. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H23d. zenon_intro zenon_H314. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H20e. zenon_intro zenon_H315. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H5a. zenon_intro zenon_H316. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H9d. zenon_intro zenon_H317. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1ff. zenon_intro zenon_H318. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H123. zenon_intro zenon_H319. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H1ea. zenon_intro zenon_H31a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H1b3. zenon_intro zenon_H31b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H124. zenon_intro zenon_H31c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H79. zenon_intro zenon_H31d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H32. zenon_intro zenon_H31e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H2b9. zenon_intro zenon_H31f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H9a. zenon_intro zenon_H320. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H4a. zenon_intro zenon_H321. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H1fe. zenon_intro zenon_H322. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H16f. zenon_intro zenon_H323. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H254. zenon_intro zenon_H326. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H28c. zenon_intro zenon_H327. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H183. zenon_intro zenon_H328. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H11b. zenon_intro zenon_H329. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hfb. zenon_intro zenon_H32a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H28b. zenon_intro zenon_H32b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32d. zenon_intro zenon_H32c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H32f. zenon_intro zenon_H32e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_Hf5. zenon_intro zenon_H330. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H132. zenon_intro zenon_H331. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H142. zenon_intro zenon_H332. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H334. zenon_intro zenon_H333. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H95. zenon_intro zenon_H335. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_He1. zenon_intro zenon_H336. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H2ff. zenon_intro zenon_H337. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H116. zenon_intro zenon_H338. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33a. zenon_intro zenon_H339. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1a2. zenon_intro zenon_H33b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H101. zenon_intro zenon_H33e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H340. zenon_intro zenon_H33f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H55. zenon_intro zenon_H341. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_Hf6. zenon_intro zenon_H342. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H21e. zenon_intro zenon_H343. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H20b. zenon_intro zenon_H344. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H17f. zenon_intro zenon_H345. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H75. zenon_intro zenon_H346. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H2cb. zenon_intro zenon_H347. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H28e. zenon_intro zenon_H348. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H21. zenon_intro zenon_H349. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34b. zenon_intro zenon_H34a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H12e. zenon_intro zenon_H34c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H1d6. zenon_intro zenon_H34d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H275. zenon_intro zenon_H34e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H262. zenon_intro zenon_H34f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H1e8. zenon_intro zenon_H350. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H2e8. zenon_intro zenon_H351. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H231. zenon_intro zenon_H352. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H22c. zenon_intro zenon_H353. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H140. zenon_intro zenon_H354. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H172. zenon_intro zenon_H355. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H2e. zenon_intro zenon_H356. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H18c. zenon_intro zenon_H357. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H2b8. zenon_intro zenon_H358. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H19d. zenon_intro zenon_H359. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hab. zenon_intro zenon_H35a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Hdf. zenon_intro zenon_H35b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H301. zenon_intro zenon_H35c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_Hdd. zenon_intro zenon_H35d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H2a4. zenon_intro zenon_H360. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H1f0. zenon_intro zenon_H361. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H144. zenon_intro zenon_H362. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_Ha9. zenon_intro zenon_H363. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H365. zenon_intro zenon_H364. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H1c1. zenon_intro zenon_H366. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H154. zenon_intro zenon_H367. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H369. zenon_intro zenon_H368. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H290. zenon_intro zenon_H36a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1af. zenon_intro zenon_H36b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H103. zenon_intro zenon_H36c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H12f. zenon_intro zenon_H36d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H250. zenon_intro zenon_H36e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H243. zenon_intro zenon_H36f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H371. zenon_intro zenon_H370. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H373. zenon_intro zenon_H372. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H375. zenon_intro zenon_H374. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H28a. zenon_intro zenon_H376. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H186. zenon_intro zenon_H377. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1b. zenon_intro zenon_H378. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H37a. zenon_intro zenon_H379. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H37e. zenon_intro zenon_H37d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H46. zenon_intro zenon_H37f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H381. zenon_intro zenon_H380. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H383. zenon_intro zenon_H382. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H385. zenon_intro zenon_H384. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H7e. zenon_intro zenon_H386. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H388. zenon_intro zenon_H387. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H38a. zenon_intro zenon_H389. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H38c. zenon_intro zenon_H38b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H7. zenon_intro zenon_H38d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H147. zenon_intro zenon_H38e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H390. zenon_intro zenon_H38f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H37. zenon_intro zenon_H5f. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H43 | zenon_intro zenon_H391 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H1d | zenon_intro zenon_H392 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H22a | zenon_intro zenon_H393 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H7a | zenon_intro zenon_H255 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_L25_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.94/1.09 apply (zenon_L42_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_L84_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Ha. zenon_intro zenon_H256. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H195. zenon_intro zenon_H257. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H196. zenon_intro zenon_H194. % 0.94/1.09 apply (zenon_L210_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha. zenon_intro zenon_H2d4. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H215. zenon_intro zenon_H2d5. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H216. zenon_intro zenon_H217. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H7a | zenon_intro zenon_H255 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L242_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_L82_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L250_); trivial. % 0.94/1.09 apply (zenon_L41_); trivial. % 0.94/1.09 apply (zenon_L266_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_Ha. zenon_intro zenon_H394. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H25b. zenon_intro zenon_H395. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L311_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_L334_); trivial. % 0.94/1.09 apply (zenon_L310_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha. zenon_intro zenon_H2d4. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H215. zenon_intro zenon_H2d5. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H216. zenon_intro zenon_H217. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_L343_); trivial. % 0.94/1.09 apply (zenon_L359_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L21_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H1bf | zenon_intro zenon_H200 ]. % 0.94/1.09 apply (zenon_L316_); trivial. % 0.94/1.09 apply (zenon_L371_); trivial. % 0.94/1.09 apply (zenon_L374_); trivial. % 0.94/1.09 apply (zenon_L377_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_Ha. zenon_intro zenon_H396. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2bd. zenon_intro zenon_H397. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_L380_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L32_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L386_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.94/1.09 apply (zenon_L387_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Ha. zenon_intro zenon_H96. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8c. zenon_intro zenon_H97. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L379_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H17e ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_L389_); trivial. % 0.94/1.09 apply (zenon_L394_); trivial. % 0.94/1.09 apply (zenon_L384_); trivial. % 0.94/1.09 apply (zenon_L397_); trivial. % 0.94/1.09 apply (zenon_L407_); trivial. % 0.94/1.09 apply (zenon_L152_); trivial. % 0.94/1.09 apply (zenon_L409_); trivial. % 0.94/1.09 apply (zenon_L417_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_Ha. zenon_intro zenon_H398. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2d6. zenon_intro zenon_H399. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H2d8. zenon_intro zenon_H2d7. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H1d | zenon_intro zenon_H392 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H22a | zenon_intro zenon_H393 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H39b | zenon_intro zenon_H39a ]. % 0.94/1.09 generalize (zenon_H39b (a706)). zenon_intro zenon_H39c. % 0.94/1.09 apply (zenon_imply_s _ _ zenon_H39c); [ zenon_intro zenon_H9 | zenon_intro zenon_H39d ]. % 0.94/1.09 exact (zenon_H9 zenon_Ha). % 0.94/1.09 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2dc | zenon_intro zenon_H39e ]. % 0.94/1.09 exact (zenon_H2d6 zenon_H2dc). % 0.94/1.09 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2de ]. % 0.94/1.09 exact (zenon_H2d8 zenon_H2e2). % 0.94/1.09 exact (zenon_H2d7 zenon_H2de). % 0.94/1.09 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H1e | zenon_intro zenon_H22b ]. % 0.94/1.09 exact (zenon_H1d zenon_H1e). % 0.94/1.09 exact (zenon_H22a zenon_H22b). % 0.94/1.09 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_Ha. zenon_intro zenon_H394. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H25b. zenon_intro zenon_H395. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H39f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H3a0 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L427_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_L432_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L442_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L444_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_L420_); trivial. % 0.94/1.09 apply (zenon_L77_); trivial. % 0.94/1.09 apply (zenon_L447_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L448_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L66_); trivial. % 0.94/1.09 apply (zenon_L450_); trivial. % 0.94/1.09 apply (zenon_L447_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L333_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L293_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.94/1.09 apply (zenon_L451_); trivial. % 0.94/1.09 apply (zenon_L65_); trivial. % 0.94/1.09 apply (zenon_L192_); trivial. % 0.94/1.09 apply (zenon_L13_); trivial. % 0.94/1.09 apply (zenon_L450_); trivial. % 0.94/1.09 apply (zenon_L447_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L333_); trivial. % 0.94/1.09 apply (zenon_L426_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha. zenon_intro zenon_H2d4. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H215. zenon_intro zenon_H2d5. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H216. zenon_intro zenon_H217. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L454_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_L456_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L442_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L17_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_L420_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf9 ]. % 0.94/1.09 apply (zenon_L61_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H80 | zenon_intro zenon_Hea ]. % 0.94/1.09 apply (zenon_L457_); trivial. % 0.94/1.09 apply (zenon_L76_); trivial. % 0.94/1.09 apply (zenon_L447_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L458_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.94/1.09 apply (zenon_L60_); trivial. % 0.94/1.09 apply (zenon_L459_); trivial. % 0.94/1.09 apply (zenon_L13_); trivial. % 0.94/1.09 apply (zenon_L461_); trivial. % 0.94/1.09 apply (zenon_L447_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L374_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L293_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.94/1.09 apply (zenon_L451_); trivial. % 0.94/1.09 apply (zenon_L459_); trivial. % 0.94/1.09 apply (zenon_L192_); trivial. % 0.94/1.09 apply (zenon_L13_); trivial. % 0.94/1.09 apply (zenon_L461_); trivial. % 0.94/1.09 apply (zenon_L447_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L333_); trivial. % 0.94/1.09 apply (zenon_L359_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_Ha. zenon_intro zenon_H3a1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H2ef. zenon_intro zenon_H3a2. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H2ed. zenon_intro zenon_H2ee. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L427_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_L469_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L28_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L17_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H241 | zenon_intro zenon_H24f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_L181_); trivial. % 0.94/1.09 apply (zenon_L471_); trivial. % 0.94/1.09 apply (zenon_L247_); trivial. % 0.94/1.09 apply (zenon_L474_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L448_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_L482_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.94/1.09 apply (zenon_L483_); trivial. % 0.94/1.09 apply (zenon_L49_); trivial. % 0.94/1.09 apply (zenon_L482_); trivial. % 0.94/1.09 apply (zenon_L492_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L333_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L293_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_L494_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L495_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L356_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L498_); trivial. % 0.94/1.09 apply (zenon_L449_); trivial. % 0.94/1.09 apply (zenon_L503_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L333_); trivial. % 0.94/1.09 apply (zenon_L426_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha. zenon_intro zenon_H2d4. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H215. zenon_intro zenon_H2d5. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H216. zenon_intro zenon_H217. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L454_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_L456_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_L508_); trivial. % 0.94/1.09 apply (zenon_L514_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L458_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_L516_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e1. zenon_intro zenon_H1ed. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.94/1.09 apply (zenon_L519_); trivial. % 0.94/1.09 apply (zenon_L49_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H7c | zenon_intro zenon_H94 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_L181_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_Ha. zenon_intro zenon_H119. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10d. zenon_intro zenon_H11a. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H80 | zenon_intro zenon_H98 ]. % 0.94/1.09 apply (zenon_L319_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H8a ]. % 0.94/1.09 apply (zenon_L22_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H80 | zenon_intro zenon_He2 ]. % 0.94/1.09 apply (zenon_L318_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H4b | zenon_intro zenon_Hd4 ]. % 0.94/1.09 apply (zenon_L22_); trivial. % 0.94/1.09 apply (zenon_L366_); trivial. % 0.94/1.09 apply (zenon_L49_); trivial. % 0.94/1.09 apply (zenon_L516_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L293_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hf4 ]. % 0.94/1.09 apply (zenon_L520_); trivial. % 0.94/1.09 apply (zenon_L504_); trivial. % 0.94/1.09 apply (zenon_L192_); trivial. % 0.94/1.09 apply (zenon_L13_); trivial. % 0.94/1.09 apply (zenon_L515_); trivial. % 0.94/1.09 apply (zenon_L522_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L374_); trivial. % 0.94/1.09 apply (zenon_L377_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_Ha. zenon_intro zenon_H3a3. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H2f6. zenon_intro zenon_H3a4. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H3a0 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L427_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_L534_); trivial. % 0.94/1.09 apply (zenon_L448_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L538_); trivial. % 0.94/1.09 apply (zenon_L541_); trivial. % 0.94/1.09 apply (zenon_L544_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L548_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L293_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L538_); trivial. % 0.94/1.09 apply (zenon_L549_); trivial. % 0.94/1.09 apply (zenon_L552_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L548_); trivial. % 0.94/1.09 apply (zenon_L426_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha. zenon_intro zenon_H2d4. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H215. zenon_intro zenon_H2d5. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H216. zenon_intro zenon_H217. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L557_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H145 | zenon_intro zenon_H210 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L559_); trivial. % 0.94/1.09 apply (zenon_L430_); trivial. % 0.94/1.09 apply (zenon_L529_); trivial. % 0.94/1.09 apply (zenon_L560_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L458_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L559_); trivial. % 0.94/1.09 apply (zenon_L541_); trivial. % 0.94/1.09 apply (zenon_L560_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L563_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_Ha. zenon_intro zenon_H211. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1b6. zenon_intro zenon_H212. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1b4. zenon_intro zenon_H1b5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L293_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3 | zenon_intro zenon_H11f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_L564_); trivial. % 0.94/1.09 apply (zenon_L552_); trivial. % 0.94/1.09 apply (zenon_L80_); trivial. % 0.94/1.09 apply (zenon_L563_); trivial. % 0.94/1.09 apply (zenon_L556_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_Ha. zenon_intro zenon_H3a1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H2ef. zenon_intro zenon_H3a2. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H2ed. zenon_intro zenon_H2ee. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L427_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_L568_); trivial. % 0.94/1.09 apply (zenon_L581_); trivial. % 0.94/1.09 apply (zenon_L589_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L32_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_L33_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9b. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H83. zenon_intro zenon_H9c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H81. zenon_intro zenon_H82. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_L590_); trivial. % 0.94/1.09 apply (zenon_L208_); trivial. % 0.94/1.09 apply (zenon_L588_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Ha. zenon_intro zenon_H2d4. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H215. zenon_intro zenon_H2d5. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H216. zenon_intro zenon_H217. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_L557_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H11c ]. % 0.94/1.09 apply (zenon_L269_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_Ha. zenon_intro zenon_H11d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hb5. zenon_intro zenon_H11e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hb6. zenon_intro zenon_Hbf. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L592_); trivial. % 0.94/1.09 apply (zenon_L567_); trivial. % 0.94/1.09 apply (zenon_L593_); trivial. % 0.94/1.09 apply (zenon_L594_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H126. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H63. zenon_intro zenon_H127. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1f | zenon_intro zenon_H99 ]. % 0.94/1.09 apply (zenon_L33_); trivial. % 0.94/1.09 apply (zenon_L599_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_Ha. zenon_intro zenon_H396. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2bd. zenon_intro zenon_H397. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H22a | zenon_intro zenon_H393 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H184 | zenon_intro zenon_H1ae ]. % 0.94/1.09 apply (zenon_L604_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_Ha. zenon_intro zenon_H1b0. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1a6. zenon_intro zenon_H1b1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L607_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L17_); trivial. % 0.94/1.09 apply (zenon_L603_); trivial. % 0.94/1.09 apply (zenon_L613_); trivial. % 0.94/1.09 apply (zenon_L618_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H5b | zenon_intro zenon_H74 ]. % 0.94/1.09 apply (zenon_L28_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_Ha. zenon_intro zenon_H76. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H6c. zenon_intro zenon_H77. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 0.94/1.09 apply (zenon_L17_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Hff | zenon_intro zenon_H118 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H4b | zenon_intro zenon_H102 ]. % 0.94/1.09 apply (zenon_L602_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfc | zenon_intro zenon_H100 ]. % 0.94/1.09 apply (zenon_L67_); trivial. % 0.94/1.09 exact (zenon_Hff zenon_H100). % 0.94/1.09 apply (zenon_L619_); trivial. % 0.94/1.09 apply (zenon_L613_); trivial. % 0.94/1.09 apply (zenon_L618_); trivial. % 0.94/1.09 apply (zenon_L417_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_Ha. zenon_intro zenon_H394. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H25b. zenon_intro zenon_H395. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H5d | zenon_intro zenon_H2d3 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1 | zenon_intro zenon_H20f ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L628_); trivial. % 0.94/1.09 apply (zenon_L656_); trivial. % 0.94/1.09 apply (zenon_L618_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_Ha. zenon_intro zenon_H213. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_Hc5. zenon_intro zenon_H214. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Hc4. zenon_intro zenon_Hce. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H5 | zenon_intro zenon_H125 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H57 ]. % 0.94/1.09 apply (zenon_L628_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_Ha. zenon_intro zenon_H58. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4e. zenon_intro zenon_H59. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4c. zenon_intro zenon_H4d. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1eb ]. % 0.94/1.09 apply (zenon_L660_); trivial. % 0.94/1.09 apply (zenon_L655_); trivial. % 0.94/1.09 apply (zenon_L618_); trivial. % 0.94/1.09 apply (zenon_L417_); trivial. % 0.94/1.09 Qed. % 0.94/1.09 % SZS output end Proof % 0.94/1.09 (* END-PROOF *) % 0.94/1.09 nodes searched: 43859 % 0.94/1.09 max branch formulas: 477 % 0.94/1.09 proof nodes created: 7154 % 0.94/1.09 formulas created: 44146 % 0.94/1.09 %------------------------------------------------------------------------------