%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN504+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 13:53:42 EDT 2022 % Result : Theorem 1.05s 1.27s % Output : Proof 1.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN504+1 : TPTP v8.1.0. Released v2.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n017.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 23:42:34 EDT 2022 % 0.12/0.33 % CPUTime : % 1.05/1.27 (* PROOF-FOUND *) % 1.05/1.27 % SZS status Theorem % 1.05/1.27 (* BEGIN-PROOF *) % 1.05/1.27 % SZS output start Proof % 1.05/1.27 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a353))/\((c1_1 (a353))/\(~(c2_1 (a353)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a355))/\((c3_1 (a355))/\(~(c1_1 (a355)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a356))/\((c2_1 (a356))/\(~(c1_1 (a356)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a357))/\((c3_1 (a357))/\(~(c0_1 (a357)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a358))/\((~(c0_1 (a358)))/\(~(c3_1 (a358)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359)))))))/\(((~(hskp6))\/((ndr1_0)/\((~(c1_1 (a360)))/\((~(c2_1 (a360)))/\(~(c3_1 (a360)))))))/\(((~(hskp7))\/((ndr1_0)/\((c3_1 (a361))/\((~(c1_1 (a361)))/\(~(c2_1 (a361)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a364))/\((~(c0_1 (a364)))/\(~(c1_1 (a364)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))))/\(((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))))/\(((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))))/\(((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446)))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp28)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp8)\/(hskp11)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((hskp2)\/(hskp18)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((hskp2)\/(hskp15)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp9)\/(hskp19)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp16)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19)))/\(((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))))/\(((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))))/\(((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31)))/\(((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23)))/\(((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(hskp31)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26))/\(((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))))/\(((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19)))/\(((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12)))/\(((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp17)\/(hskp16)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp6)))/\(((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20)))/\(((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22)))/\(((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10)))/\(((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp31)\/(hskp18)))/\(((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp24)\/(hskp10)))/\(((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11))/\(((hskp29)\/((hskp13)\/(hskp15)))/\(((hskp17)\/((hskp1)\/(hskp11)))/\(((hskp13)\/((hskp27)\/(hskp4)))/\(((hskp15)\/((hskp11)\/(hskp16)))/\(((hskp25)\/((hskp8)\/(hskp11)))/\(((hskp21)\/((hskp18)\/(hskp6)))/\(((hskp24)\/((hskp11)\/(hskp4)))/\((hskp4)\/(hskp6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.05/1.27 Proof. % 1.05/1.27 assert (zenon_L1_ : (~(hskp15)) -> (hskp15) -> False). % 1.05/1.27 do 0 intro. intros zenon_H1 zenon_H2. % 1.05/1.27 exact (zenon_H1 zenon_H2). % 1.05/1.27 (* end of lemma zenon_L1_ *) % 1.05/1.27 assert (zenon_L2_ : (~(hskp11)) -> (hskp11) -> False). % 1.05/1.27 do 0 intro. intros zenon_H3 zenon_H4. % 1.05/1.27 exact (zenon_H3 zenon_H4). % 1.05/1.27 (* end of lemma zenon_L2_ *) % 1.05/1.27 assert (zenon_L3_ : (~(hskp16)) -> (hskp16) -> False). % 1.05/1.27 do 0 intro. intros zenon_H5 zenon_H6. % 1.05/1.27 exact (zenon_H5 zenon_H6). % 1.05/1.27 (* end of lemma zenon_L3_ *) % 1.05/1.27 assert (zenon_L4_ : ((hskp15)\/((hskp11)\/(hskp16))) -> (~(hskp15)) -> (~(hskp11)) -> (~(hskp16)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 1.05/1.27 exact (zenon_H1 zenon_H2). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 1.05/1.27 exact (zenon_H3 zenon_H4). % 1.05/1.27 exact (zenon_H5 zenon_H6). % 1.05/1.27 (* end of lemma zenon_L4_ *) % 1.05/1.27 assert (zenon_L5_ : (~(hskp24)) -> (hskp24) -> False). % 1.05/1.27 do 0 intro. intros zenon_H9 zenon_Ha. % 1.05/1.27 exact (zenon_H9 zenon_Ha). % 1.05/1.27 (* end of lemma zenon_L5_ *) % 1.05/1.27 assert (zenon_L6_ : (~(hskp4)) -> (hskp4) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hb zenon_Hc. % 1.05/1.27 exact (zenon_Hb zenon_Hc). % 1.05/1.27 (* end of lemma zenon_L6_ *) % 1.05/1.27 assert (zenon_L7_ : ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp24)) -> (~(hskp11)) -> (~(hskp4)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hd zenon_H9 zenon_H3 zenon_Hb. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Ha | zenon_intro zenon_He ]. % 1.05/1.27 exact (zenon_H9 zenon_Ha). % 1.05/1.27 apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_H4 | zenon_intro zenon_Hc ]. % 1.05/1.27 exact (zenon_H3 zenon_H4). % 1.05/1.27 exact (zenon_Hb zenon_Hc). % 1.05/1.27 (* end of lemma zenon_L7_ *) % 1.05/1.27 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hf zenon_H10. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 (* end of lemma zenon_L8_ *) % 1.05/1.27 assert (zenon_L9_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a399))) -> (~(c3_1 (a399))) -> (c1_1 (a399)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H11 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.05/1.27 generalize (zenon_H11 (a399)). zenon_intro zenon_H15. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_Hf | zenon_intro zenon_H16 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 1.05/1.27 exact (zenon_H12 zenon_H18). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 1.05/1.27 exact (zenon_H13 zenon_H1a). % 1.05/1.27 exact (zenon_H19 zenon_H14). % 1.05/1.27 (* end of lemma zenon_L9_ *) % 1.05/1.27 assert (zenon_L10_ : (~(hskp28)) -> (hskp28) -> False). % 1.05/1.27 do 0 intro. intros zenon_H1b zenon_H1c. % 1.05/1.27 exact (zenon_H1b zenon_H1c). % 1.05/1.27 (* end of lemma zenon_L10_ *) % 1.05/1.27 assert (zenon_L11_ : (~(hskp19)) -> (hskp19) -> False). % 1.05/1.27 do 0 intro. intros zenon_H1d zenon_H1e. % 1.05/1.27 exact (zenon_H1d zenon_H1e). % 1.05/1.27 (* end of lemma zenon_L11_ *) % 1.05/1.27 assert (zenon_L12_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp28)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H1f zenon_H14 zenon_H13 zenon_H12 zenon_H1d zenon_H10 zenon_H20 zenon_H21 zenon_H22 zenon_H23 zenon_H1b. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.05/1.27 apply (zenon_L9_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.05/1.27 generalize (zenon_H25 (a379)). zenon_intro zenon_H28. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_Hf | zenon_intro zenon_H29 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 1.05/1.27 exact (zenon_H20 zenon_H2b). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 1.05/1.27 generalize (zenon_H27 (a379)). zenon_intro zenon_H2e. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_Hf | zenon_intro zenon_H2f ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 1.05/1.27 exact (zenon_H2d zenon_H31). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H2c ]. % 1.05/1.27 exact (zenon_H21 zenon_H32). % 1.05/1.27 exact (zenon_H2c zenon_H22). % 1.05/1.27 exact (zenon_H2c zenon_H22). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H1c | zenon_intro zenon_H1e ]. % 1.05/1.27 exact (zenon_H1b zenon_H1c). % 1.05/1.27 exact (zenon_H1d zenon_H1e). % 1.05/1.27 exact (zenon_H1b zenon_H1c). % 1.05/1.27 (* end of lemma zenon_L12_ *) % 1.05/1.27 assert (zenon_L13_ : (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (c1_1 (a365)) -> (c2_1 (a365)) -> (c3_1 (a365)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H33 zenon_H10 zenon_H34 zenon_H35 zenon_H36. % 1.05/1.27 generalize (zenon_H33 (a365)). zenon_intro zenon_H37. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_Hf | zenon_intro zenon_H38 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 1.05/1.27 exact (zenon_H3a zenon_H34). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.05/1.27 exact (zenon_H3c zenon_H35). % 1.05/1.27 exact (zenon_H3b zenon_H36). % 1.05/1.27 (* end of lemma zenon_L13_ *) % 1.05/1.27 assert (zenon_L14_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H3d zenon_H3e zenon_H3. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.05/1.27 apply (zenon_L13_); trivial. % 1.05/1.27 exact (zenon_H3 zenon_H4). % 1.05/1.27 (* end of lemma zenon_L14_ *) % 1.05/1.27 assert (zenon_L15_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H41 zenon_H10 zenon_H42 zenon_H43 zenon_H44. % 1.05/1.27 generalize (zenon_H41 (a387)). zenon_intro zenon_H45. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_Hf | zenon_intro zenon_H46 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 1.05/1.27 exact (zenon_H42 zenon_H48). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 1.05/1.27 exact (zenon_H43 zenon_H4a). % 1.05/1.27 exact (zenon_H44 zenon_H49). % 1.05/1.27 (* end of lemma zenon_L15_ *) % 1.05/1.27 assert (zenon_L16_ : (~(hskp3)) -> (hskp3) -> False). % 1.05/1.27 do 0 intro. intros zenon_H4b zenon_H4c. % 1.05/1.27 exact (zenon_H4b zenon_H4c). % 1.05/1.27 (* end of lemma zenon_L16_ *) % 1.05/1.27 assert (zenon_L17_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H4d zenon_H4e zenon_H4b zenon_Hb. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H41 | zenon_intro zenon_H51 ]. % 1.05/1.27 apply (zenon_L15_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc ]. % 1.05/1.27 exact (zenon_H4b zenon_H4c). % 1.05/1.27 exact (zenon_Hb zenon_Hc). % 1.05/1.27 (* end of lemma zenon_L17_ *) % 1.05/1.27 assert (zenon_L18_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H52 zenon_H4e zenon_H4b zenon_Hd zenon_Hb zenon_H3 zenon_H1f zenon_H20 zenon_H21 zenon_H22 zenon_H23 zenon_H3e zenon_H53 zenon_H54. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.27 apply (zenon_L7_); trivial. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.27 apply (zenon_L12_); trivial. % 1.05/1.27 apply (zenon_L14_); trivial. % 1.05/1.27 apply (zenon_L17_); trivial. % 1.05/1.27 (* end of lemma zenon_L18_ *) % 1.05/1.27 assert (zenon_L19_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H58 zenon_H10 zenon_H59 zenon_H5a zenon_H5b. % 1.05/1.27 generalize (zenon_H58 (a376)). zenon_intro zenon_H5c. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_Hf | zenon_intro zenon_H5d ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 1.05/1.27 exact (zenon_H59 zenon_H5f). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 1.05/1.27 exact (zenon_H5a zenon_H61). % 1.05/1.27 exact (zenon_H60 zenon_H5b). % 1.05/1.27 (* end of lemma zenon_L19_ *) % 1.05/1.27 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp11)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H55 zenon_H62 zenon_H5b zenon_H5a zenon_H59 zenon_H3. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 1.05/1.27 apply (zenon_L9_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 1.05/1.27 apply (zenon_L19_); trivial. % 1.05/1.27 exact (zenon_H3 zenon_H4). % 1.05/1.27 (* end of lemma zenon_L20_ *) % 1.05/1.27 assert (zenon_L21_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H54 zenon_H62 zenon_H5b zenon_H5a zenon_H59 zenon_H3 zenon_Hb zenon_Hd. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.27 apply (zenon_L7_); trivial. % 1.05/1.27 apply (zenon_L20_); trivial. % 1.05/1.27 (* end of lemma zenon_L21_ *) % 1.05/1.27 assert (zenon_L22_ : (~(hskp21)) -> (hskp21) -> False). % 1.05/1.27 do 0 intro. intros zenon_H64 zenon_H65. % 1.05/1.27 exact (zenon_H64 zenon_H65). % 1.05/1.27 (* end of lemma zenon_L22_ *) % 1.05/1.27 assert (zenon_L23_ : (~(hskp18)) -> (hskp18) -> False). % 1.05/1.27 do 0 intro. intros zenon_H66 zenon_H67. % 1.05/1.27 exact (zenon_H66 zenon_H67). % 1.05/1.27 (* end of lemma zenon_L23_ *) % 1.05/1.27 assert (zenon_L24_ : (~(hskp6)) -> (hskp6) -> False). % 1.05/1.27 do 0 intro. intros zenon_H68 zenon_H69. % 1.05/1.27 exact (zenon_H68 zenon_H69). % 1.05/1.27 (* end of lemma zenon_L24_ *) % 1.05/1.27 assert (zenon_L25_ : ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp21)) -> (~(hskp18)) -> (~(hskp6)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H6a zenon_H64 zenon_H66 zenon_H68. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H65 | zenon_intro zenon_H6b ]. % 1.05/1.27 exact (zenon_H64 zenon_H65). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H67 | zenon_intro zenon_H69 ]. % 1.05/1.27 exact (zenon_H66 zenon_H67). % 1.05/1.27 exact (zenon_H68 zenon_H69). % 1.05/1.27 (* end of lemma zenon_L25_ *) % 1.05/1.27 assert (zenon_L26_ : (forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89)))))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H6c zenon_H10 zenon_H6d zenon_H6e zenon_H6f. % 1.05/1.27 generalize (zenon_H6c (a368)). zenon_intro zenon_H70. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H70); [ zenon_intro zenon_Hf | zenon_intro zenon_H71 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 1.05/1.27 exact (zenon_H6d zenon_H73). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 1.05/1.27 exact (zenon_H75 zenon_H6e). % 1.05/1.27 exact (zenon_H74 zenon_H6f). % 1.05/1.27 (* end of lemma zenon_L26_ *) % 1.05/1.27 assert (zenon_L27_ : ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp19)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H9 zenon_H1d. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H6c | zenon_intro zenon_H77 ]. % 1.05/1.27 apply (zenon_L26_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_Ha | zenon_intro zenon_H1e ]. % 1.05/1.27 exact (zenon_H9 zenon_Ha). % 1.05/1.27 exact (zenon_H1d zenon_H1e). % 1.05/1.27 (* end of lemma zenon_L27_ *) % 1.05/1.27 assert (zenon_L28_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H78 zenon_H10 zenon_H79 zenon_H7a zenon_H7b. % 1.05/1.27 generalize (zenon_H78 (a395)). zenon_intro zenon_H7c. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_Hf | zenon_intro zenon_H7d ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 1.05/1.27 exact (zenon_H79 zenon_H7f). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 1.05/1.27 exact (zenon_H7a zenon_H81). % 1.05/1.27 exact (zenon_H80 zenon_H7b). % 1.05/1.27 (* end of lemma zenon_L28_ *) % 1.05/1.27 assert (zenon_L29_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (~(hskp4)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H55 zenon_H82 zenon_H7b zenon_H7a zenon_H79 zenon_Hb. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.05/1.27 apply (zenon_L28_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.05/1.27 apply (zenon_L9_); trivial. % 1.05/1.27 exact (zenon_Hb zenon_Hc). % 1.05/1.27 (* end of lemma zenon_L29_ *) % 1.05/1.27 assert (zenon_L30_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H84 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.27 apply (zenon_L27_); trivial. % 1.05/1.27 apply (zenon_L29_); trivial. % 1.05/1.27 (* end of lemma zenon_L30_ *) % 1.05/1.27 assert (zenon_L31_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_H66 zenon_H68 zenon_H6a. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.27 apply (zenon_L25_); trivial. % 1.05/1.27 apply (zenon_L30_); trivial. % 1.05/1.27 (* end of lemma zenon_L31_ *) % 1.05/1.27 assert (zenon_L32_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H52 zenon_H4e zenon_H4b zenon_H6a zenon_H68 zenon_H66 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_H82 zenon_H54 zenon_H87. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.27 apply (zenon_L31_); trivial. % 1.05/1.27 apply (zenon_L17_); trivial. % 1.05/1.27 (* end of lemma zenon_L32_ *) % 1.05/1.27 assert (zenon_L33_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H88 zenon_H10 zenon_H89 zenon_H8a zenon_H8b. % 1.05/1.27 generalize (zenon_H88 (a382)). zenon_intro zenon_H8c. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H8c); [ zenon_intro zenon_Hf | zenon_intro zenon_H8d ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ]. % 1.05/1.27 exact (zenon_H89 zenon_H8f). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 1.05/1.27 exact (zenon_H8a zenon_H91). % 1.05/1.27 exact (zenon_H90 zenon_H8b). % 1.05/1.27 (* end of lemma zenon_L33_ *) % 1.05/1.27 assert (zenon_L34_ : (~(hskp17)) -> (hskp17) -> False). % 1.05/1.27 do 0 intro. intros zenon_H92 zenon_H93. % 1.05/1.27 exact (zenon_H92 zenon_H93). % 1.05/1.27 (* end of lemma zenon_L34_ *) % 1.05/1.27 assert (zenon_L35_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> (~(hskp17)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H94 zenon_H95 zenon_H92. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H88 | zenon_intro zenon_H93 ]. % 1.05/1.27 apply (zenon_L33_); trivial. % 1.05/1.27 exact (zenon_H92 zenon_H93). % 1.05/1.27 (* end of lemma zenon_L35_ *) % 1.05/1.27 assert (zenon_L36_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> (~(hskp17)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H98 zenon_H95 zenon_H92 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H4b zenon_H4e zenon_H52. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.27 apply (zenon_L32_); trivial. % 1.05/1.27 apply (zenon_L35_); trivial. % 1.05/1.27 (* end of lemma zenon_L36_ *) % 1.05/1.27 assert (zenon_L37_ : (~(hskp5)) -> (hskp5) -> False). % 1.05/1.27 do 0 intro. intros zenon_H99 zenon_H9a. % 1.05/1.27 exact (zenon_H99 zenon_H9a). % 1.05/1.27 (* end of lemma zenon_L37_ *) % 1.05/1.27 assert (zenon_L38_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H4d zenon_H9b zenon_H99 zenon_H68. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.27 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H41 | zenon_intro zenon_H9c ]. % 1.05/1.27 apply (zenon_L15_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9a | zenon_intro zenon_H69 ]. % 1.05/1.27 exact (zenon_H99 zenon_H9a). % 1.05/1.27 exact (zenon_H68 zenon_H69). % 1.05/1.27 (* end of lemma zenon_L38_ *) % 1.05/1.27 assert (zenon_L39_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H52 zenon_H9b zenon_H99 zenon_H6a zenon_H68 zenon_H66 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_H82 zenon_H54 zenon_H87. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.27 apply (zenon_L31_); trivial. % 1.05/1.27 apply (zenon_L38_); trivial. % 1.05/1.27 (* end of lemma zenon_L39_ *) % 1.05/1.27 assert (zenon_L40_ : (~(hskp29)) -> (hskp29) -> False). % 1.05/1.27 do 0 intro. intros zenon_H9d zenon_H9e. % 1.05/1.27 exact (zenon_H9d zenon_H9e). % 1.05/1.27 (* end of lemma zenon_L40_ *) % 1.05/1.27 assert (zenon_L41_ : (~(hskp12)) -> (hskp12) -> False). % 1.05/1.27 do 0 intro. intros zenon_H9f zenon_Ha0. % 1.05/1.27 exact (zenon_H9f zenon_Ha0). % 1.05/1.27 (* end of lemma zenon_L41_ *) % 1.05/1.27 assert (zenon_L42_ : ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (c1_1 (a380)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp12)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H10 zenon_H9d zenon_H9f. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha5 ]. % 1.05/1.27 generalize (zenon_Ha6 (a380)). zenon_intro zenon_Ha7. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha8 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 1.05/1.27 exact (zenon_Ha4 zenon_Haa). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 1.05/1.27 exact (zenon_Hac zenon_Ha3). % 1.05/1.27 exact (zenon_Hab zenon_Ha2). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha0 ]. % 1.05/1.27 exact (zenon_H9d zenon_H9e). % 1.05/1.27 exact (zenon_H9f zenon_Ha0). % 1.05/1.27 (* end of lemma zenon_L42_ *) % 1.05/1.27 assert (zenon_L43_ : (~(hskp30)) -> (hskp30) -> False). % 1.05/1.27 do 0 intro. intros zenon_Had zenon_Hae. % 1.05/1.27 exact (zenon_Had zenon_Hae). % 1.05/1.27 (* end of lemma zenon_L43_ *) % 1.05/1.27 assert (zenon_L44_ : (~(hskp23)) -> (hskp23) -> False). % 1.05/1.27 do 0 intro. intros zenon_Haf zenon_Hb0. % 1.05/1.27 exact (zenon_Haf zenon_Hb0). % 1.05/1.27 (* end of lemma zenon_L44_ *) % 1.05/1.27 assert (zenon_L45_ : ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_Had zenon_Haf. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb2 ]. % 1.05/1.27 apply (zenon_L26_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb0 ]. % 1.05/1.27 exact (zenon_Had zenon_Hae). % 1.05/1.27 exact (zenon_Haf zenon_Hb0). % 1.05/1.27 (* end of lemma zenon_L45_ *) % 1.05/1.27 assert (zenon_L46_ : (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (c0_1 (a372)) -> (c1_1 (a372)) -> (c2_1 (a372)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hb3 zenon_H10 zenon_Hb4 zenon_Hb5 zenon_Hb6. % 1.05/1.27 generalize (zenon_Hb3 (a372)). zenon_intro zenon_Hb7. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_Hb7); [ zenon_intro zenon_Hf | zenon_intro zenon_Hb8 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 1.05/1.27 exact (zenon_Hba zenon_Hb4). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ]. % 1.05/1.27 exact (zenon_Hbc zenon_Hb5). % 1.05/1.27 exact (zenon_Hbb zenon_Hb6). % 1.05/1.27 (* end of lemma zenon_L46_ *) % 1.05/1.27 assert (zenon_L47_ : (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (c0_1 (a373)) -> (c1_1 (a373)) -> (c3_1 (a373)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hbd zenon_H10 zenon_Hbe zenon_Hbf zenon_Hc0. % 1.05/1.27 generalize (zenon_Hbd (a373)). zenon_intro zenon_Hc1. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_Hc1); [ zenon_intro zenon_Hf | zenon_intro zenon_Hc2 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ]. % 1.05/1.27 exact (zenon_Hc4 zenon_Hbe). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 1.05/1.27 exact (zenon_Hc6 zenon_Hbf). % 1.05/1.27 exact (zenon_Hc5 zenon_Hc0). % 1.05/1.27 (* end of lemma zenon_L47_ *) % 1.05/1.27 assert (zenon_L48_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (c2_1 (a372)) -> (c1_1 (a372)) -> (c0_1 (a372)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hc7 zenon_Hc8 zenon_H8b zenon_H8a zenon_H89 zenon_Hb6 zenon_Hb5 zenon_Hb4. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.05/1.27 apply (zenon_L33_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.05/1.27 apply (zenon_L46_); trivial. % 1.05/1.27 apply (zenon_L47_); trivial. % 1.05/1.27 (* end of lemma zenon_L48_ *) % 1.05/1.27 assert (zenon_L49_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hc8 zenon_H8b zenon_H8a zenon_H89 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.05/1.27 apply (zenon_L45_); trivial. % 1.05/1.27 apply (zenon_L48_); trivial. % 1.05/1.27 (* end of lemma zenon_L49_ *) % 1.05/1.27 assert (zenon_L50_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (c1_1 (a380)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hd0 zenon_Hcd zenon_Hc8 zenon_H8b zenon_H8a zenon_H89 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1 zenon_H10 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H9f zenon_Ha1. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.05/1.27 apply (zenon_L42_); trivial. % 1.05/1.27 apply (zenon_L49_); trivial. % 1.05/1.27 (* end of lemma zenon_L50_ *) % 1.05/1.27 assert (zenon_L51_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hd1 zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.05/1.27 generalize (zenon_Hd1 (a398)). zenon_intro zenon_Hd5. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd6 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 1.05/1.27 exact (zenon_Hd2 zenon_Hd8). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 1.05/1.27 exact (zenon_Hda zenon_Hd3). % 1.05/1.27 exact (zenon_Hd9 zenon_Hd4). % 1.05/1.27 (* end of lemma zenon_L51_ *) % 1.05/1.27 assert (zenon_L52_ : (~(hskp2)) -> (hskp2) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hdb zenon_Hdc. % 1.05/1.27 exact (zenon_Hdb zenon_Hdc). % 1.05/1.27 (* end of lemma zenon_L52_ *) % 1.05/1.27 assert (zenon_L53_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (~(hskp19)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hdd zenon_Hde zenon_Hdb zenon_H1d. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.05/1.27 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd1 | zenon_intro zenon_He1 ]. % 1.05/1.27 apply (zenon_L51_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1e ]. % 1.05/1.27 exact (zenon_Hdb zenon_Hdc). % 1.05/1.27 exact (zenon_H1d zenon_H1e). % 1.05/1.27 (* end of lemma zenon_L53_ *) % 1.05/1.27 assert (zenon_L54_ : (~(hskp13)) -> (hskp13) -> False). % 1.05/1.27 do 0 intro. intros zenon_He2 zenon_He3. % 1.05/1.27 exact (zenon_He2 zenon_He3). % 1.05/1.27 (* end of lemma zenon_L54_ *) % 1.05/1.27 assert (zenon_L55_ : (~(hskp27)) -> (hskp27) -> False). % 1.05/1.27 do 0 intro. intros zenon_He4 zenon_He5. % 1.05/1.27 exact (zenon_He4 zenon_He5). % 1.05/1.27 (* end of lemma zenon_L55_ *) % 1.05/1.27 assert (zenon_L56_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a446))) -> (c2_1 (a446)) -> (c3_1 (a446)) -> False). % 1.05/1.27 do 0 intro. intros zenon_He6 zenon_H10 zenon_He7 zenon_He8 zenon_He9. % 1.05/1.27 generalize (zenon_He6 (a446)). zenon_intro zenon_Hea. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_Hf | zenon_intro zenon_Heb ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ]. % 1.05/1.27 exact (zenon_He7 zenon_Hed). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 1.05/1.27 exact (zenon_Hef zenon_He8). % 1.05/1.27 exact (zenon_Hee zenon_He9). % 1.05/1.27 (* end of lemma zenon_L56_ *) % 1.05/1.27 assert (zenon_L57_ : ((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp21)) -> (~(hskp4)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H64 zenon_Hb. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H10. zenon_intro zenon_Hf2. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_He8. zenon_intro zenon_Hf3. % 1.05/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_He9. zenon_intro zenon_He7. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf4 ]. % 1.05/1.27 apply (zenon_L56_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc ]. % 1.05/1.27 exact (zenon_H64 zenon_H65). % 1.05/1.27 exact (zenon_Hb zenon_Hc). % 1.05/1.27 (* end of lemma zenon_L57_ *) % 1.05/1.27 assert (zenon_L58_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp13)) -> (~(hskp4)) -> ((hskp13)\/((hskp27)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H52 zenon_H4e zenon_H4b zenon_Hf5 zenon_Hf1 zenon_He2 zenon_Hb zenon_Hf6 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H82 zenon_H54 zenon_H87. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He4 | zenon_intro zenon_Hf0 ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf7 ]. % 1.05/1.27 exact (zenon_He2 zenon_He3). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He5 | zenon_intro zenon_Hc ]. % 1.05/1.27 exact (zenon_He4 zenon_He5). % 1.05/1.27 exact (zenon_Hb zenon_Hc). % 1.05/1.27 apply (zenon_L57_); trivial. % 1.05/1.27 apply (zenon_L30_); trivial. % 1.05/1.27 apply (zenon_L17_); trivial. % 1.05/1.27 (* end of lemma zenon_L58_ *) % 1.05/1.27 assert (zenon_L59_ : (forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hf8 zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.05/1.27 generalize (zenon_Hf8 (a370)). zenon_intro zenon_Hfc. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf | zenon_intro zenon_Hfd ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hff | zenon_intro zenon_Hfe ]. % 1.05/1.27 exact (zenon_Hf9 zenon_Hff). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ]. % 1.05/1.27 exact (zenon_H101 zenon_Hfa). % 1.05/1.27 exact (zenon_H100 zenon_Hfb). % 1.05/1.27 (* end of lemma zenon_L59_ *) % 1.05/1.27 assert (zenon_L60_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H102 zenon_H10 zenon_He6 zenon_H6e zenon_H6f. % 1.05/1.27 generalize (zenon_H102 (a368)). zenon_intro zenon_H103. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_Hf | zenon_intro zenon_H104 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H105 | zenon_intro zenon_H72 ]. % 1.05/1.27 generalize (zenon_He6 (a368)). zenon_intro zenon_H106. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_Hf | zenon_intro zenon_H107 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H108 | zenon_intro zenon_H72 ]. % 1.05/1.27 exact (zenon_H105 zenon_H108). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 1.05/1.27 exact (zenon_H75 zenon_H6e). % 1.05/1.27 exact (zenon_H74 zenon_H6f). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 1.05/1.27 exact (zenon_H75 zenon_H6e). % 1.05/1.27 exact (zenon_H74 zenon_H6f). % 1.05/1.27 (* end of lemma zenon_L60_ *) % 1.05/1.27 assert (zenon_L61_ : (~(hskp0)) -> (hskp0) -> False). % 1.05/1.27 do 0 intro. intros zenon_H109 zenon_H10a. % 1.05/1.27 exact (zenon_H109 zenon_H10a). % 1.05/1.27 (* end of lemma zenon_L61_ *) % 1.05/1.27 assert (zenon_L62_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> (~(hskp0)) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H10b zenon_H109 zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H6e zenon_H6f zenon_H5 zenon_H10c. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He6 | zenon_intro zenon_H10a ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.05/1.27 apply (zenon_L59_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.05/1.27 apply (zenon_L60_); trivial. % 1.05/1.27 exact (zenon_H5 zenon_H6). % 1.05/1.27 exact (zenon_H109 zenon_H10a). % 1.05/1.27 (* end of lemma zenon_L62_ *) % 1.05/1.27 assert (zenon_L63_ : (forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88)))))) -> (ndr1_0) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H10e zenon_H10 zenon_H20 zenon_H21 zenon_H22. % 1.05/1.27 generalize (zenon_H10e (a379)). zenon_intro zenon_H10f. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_Hf | zenon_intro zenon_H110 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H2b | zenon_intro zenon_H30 ]. % 1.05/1.27 exact (zenon_H20 zenon_H2b). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H2c ]. % 1.05/1.27 exact (zenon_H21 zenon_H32). % 1.05/1.27 exact (zenon_H2c zenon_H22). % 1.05/1.27 (* end of lemma zenon_L63_ *) % 1.05/1.27 assert (zenon_L64_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> False). % 1.05/1.27 do 0 intro. intros zenon_H111 zenon_H10 zenon_Hbd zenon_H112 zenon_H113 zenon_H114. % 1.05/1.27 generalize (zenon_H111 (a369)). zenon_intro zenon_H115. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_Hf | zenon_intro zenon_H116 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 1.05/1.27 generalize (zenon_Hbd (a369)). zenon_intro zenon_H119. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_Hf | zenon_intro zenon_H11a ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 1.05/1.27 exact (zenon_H11c zenon_H112). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 1.05/1.27 exact (zenon_H11e zenon_H118). % 1.05/1.27 exact (zenon_H11d zenon_H113). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11f | zenon_intro zenon_H11d ]. % 1.05/1.27 exact (zenon_H114 zenon_H11f). % 1.05/1.27 exact (zenon_H11d zenon_H113). % 1.05/1.27 (* end of lemma zenon_L64_ *) % 1.05/1.27 assert (zenon_L65_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (c1_1 (a365)) -> (c3_1 (a365)) -> (c2_1 (a365)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H102 zenon_H10 zenon_H120 zenon_H34 zenon_H36 zenon_H35. % 1.05/1.27 generalize (zenon_H102 (a365)). zenon_intro zenon_H121. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_Hf | zenon_intro zenon_H122 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H123 | zenon_intro zenon_H39 ]. % 1.05/1.27 generalize (zenon_H120 (a365)). zenon_intro zenon_H124. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_Hf | zenon_intro zenon_H125 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ]. % 1.05/1.27 exact (zenon_H123 zenon_H127). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 1.05/1.27 exact (zenon_H3a zenon_H34). % 1.05/1.27 exact (zenon_H3b zenon_H36). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.05/1.27 exact (zenon_H3c zenon_H35). % 1.05/1.27 exact (zenon_H3b zenon_H36). % 1.05/1.27 (* end of lemma zenon_L65_ *) % 1.05/1.27 assert (zenon_L66_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81)))))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> False). % 1.05/1.27 do 0 intro. intros zenon_He6 zenon_H10 zenon_H128 zenon_H6d zenon_H6f zenon_H6e. % 1.05/1.27 generalize (zenon_He6 (a368)). zenon_intro zenon_H106. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_Hf | zenon_intro zenon_H107 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H108 | zenon_intro zenon_H72 ]. % 1.05/1.27 generalize (zenon_H128 (a368)). zenon_intro zenon_H129. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H129); [ zenon_intro zenon_Hf | zenon_intro zenon_H12a ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H73 | zenon_intro zenon_H12b ]. % 1.05/1.27 exact (zenon_H6d zenon_H73). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H105 | zenon_intro zenon_H74 ]. % 1.05/1.27 exact (zenon_H105 zenon_H108). % 1.05/1.27 exact (zenon_H74 zenon_H6f). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 1.05/1.27 exact (zenon_H75 zenon_H6e). % 1.05/1.27 exact (zenon_H74 zenon_H6f). % 1.05/1.27 (* end of lemma zenon_L66_ *) % 1.05/1.27 assert (zenon_L67_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (c1_1 (a365)) -> (c3_1 (a365)) -> (c2_1 (a365)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp21)) -> (~(hskp4)) -> False). % 1.05/1.27 do 0 intro. intros zenon_Hf1 zenon_Haf zenon_H10 zenon_H6d zenon_H6f zenon_H6e zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H114 zenon_H113 zenon_H112 zenon_H120 zenon_H34 zenon_H36 zenon_H35 zenon_H12d zenon_H64 zenon_Hb. % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf4 ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.05/1.27 apply (zenon_L63_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.05/1.27 apply (zenon_L64_); trivial. % 1.05/1.27 apply (zenon_L65_); trivial. % 1.05/1.27 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.05/1.27 apply (zenon_L66_); trivial. % 1.05/1.27 exact (zenon_Haf zenon_Hb0). % 1.05/1.27 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc ]. % 1.05/1.27 exact (zenon_H64 zenon_H65). % 1.05/1.27 exact (zenon_Hb zenon_Hc). % 1.05/1.27 (* end of lemma zenon_L67_ *) % 1.05/1.27 assert (zenon_L68_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c2_1 (a365)) -> (c3_1 (a365)) -> False). % 1.05/1.27 do 0 intro. intros zenon_H102 zenon_H10 zenon_He6 zenon_H35 zenon_H36. % 1.05/1.27 generalize (zenon_H102 (a365)). zenon_intro zenon_H121. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_Hf | zenon_intro zenon_H122 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H123 | zenon_intro zenon_H39 ]. % 1.05/1.27 generalize (zenon_He6 (a365)). zenon_intro zenon_H130. % 1.05/1.27 apply (zenon_imply_s _ _ zenon_H130); [ zenon_intro zenon_Hf | zenon_intro zenon_H131 ]. % 1.05/1.27 exact (zenon_Hf zenon_H10). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H127 | zenon_intro zenon_H39 ]. % 1.05/1.27 exact (zenon_H123 zenon_H127). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.05/1.27 exact (zenon_H3c zenon_H35). % 1.05/1.27 exact (zenon_H3b zenon_H36). % 1.05/1.27 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.05/1.27 exact (zenon_H3c zenon_H35). % 1.05/1.27 exact (zenon_H3b zenon_H36). % 1.05/1.27 (* end of lemma zenon_L68_ *) % 1.05/1.27 assert (zenon_L69_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> (~(hskp0)) -> (ndr1_0) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c2_1 (a365)) -> (c3_1 (a365)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H10b zenon_H109 zenon_H10 zenon_H20 zenon_H21 zenon_H22 zenon_H111 zenon_H112 zenon_H113 zenon_H114 zenon_H35 zenon_H36 zenon_H12c. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He6 | zenon_intro zenon_H10a ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.05/1.28 apply (zenon_L63_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.05/1.28 apply (zenon_L64_); trivial. % 1.05/1.28 apply (zenon_L68_); trivial. % 1.05/1.28 exact (zenon_H109 zenon_H10a). % 1.05/1.28 (* end of lemma zenon_L69_ *) % 1.05/1.28 assert (zenon_L70_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(hskp4)) -> (~(hskp21)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp23)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H3d zenon_H132 zenon_Hb zenon_H64 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_Haf zenon_Hf1 zenon_H12c zenon_H114 zenon_H113 zenon_H112 zenon_H22 zenon_H21 zenon_H20 zenon_H109 zenon_H10b zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.05/1.28 apply (zenon_L67_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.05/1.28 apply (zenon_L69_); trivial. % 1.05/1.28 apply (zenon_L59_); trivial. % 1.05/1.28 (* end of lemma zenon_L70_ *) % 1.05/1.28 assert (zenon_L71_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H87 zenon_H82 zenon_H54 zenon_H53 zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H109 zenon_H10b zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H12c zenon_Hb zenon_Hf1 zenon_H23 zenon_H22 zenon_H21 zenon_H20 zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_Hdb zenon_Hde zenon_H134. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.28 apply (zenon_L27_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.28 apply (zenon_L12_); trivial. % 1.05/1.28 apply (zenon_L70_); trivial. % 1.05/1.28 apply (zenon_L53_); trivial. % 1.05/1.28 apply (zenon_L30_); trivial. % 1.05/1.28 (* end of lemma zenon_L71_ *) % 1.05/1.28 assert (zenon_L72_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((hskp13)\/((hskp27)\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446))))))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H135 zenon_H136 zenon_H137 zenon_H134 zenon_Hde zenon_Hdb zenon_H1f zenon_H23 zenon_H12c zenon_H12d zenon_H132 zenon_H53 zenon_H10c zenon_H109 zenon_H10b zenon_H87 zenon_H54 zenon_H82 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_Hf6 zenon_Hb zenon_Hf1 zenon_Hf5 zenon_H4b zenon_H4e zenon_H52. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.28 apply (zenon_L58_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.28 apply (zenon_L62_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L71_); trivial. % 1.05/1.28 apply (zenon_L17_); trivial. % 1.05/1.28 (* end of lemma zenon_L72_ *) % 1.05/1.28 assert (zenon_L73_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((hskp13)\/((hskp27)\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H140 zenon_H136 zenon_H137 zenon_H1f zenon_H23 zenon_H12c zenon_H12d zenon_H132 zenon_H53 zenon_H10c zenon_H109 zenon_H10b zenon_Hf6 zenon_Hf1 zenon_Hf5 zenon_H98 zenon_H95 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H4b zenon_H4e zenon_H52 zenon_H9b zenon_H99 zenon_H134 zenon_Hde zenon_Hdb zenon_Ha1 zenon_Hb1 zenon_Hc8 zenon_Hcd zenon_Hd0 zenon_H141. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.05/1.28 apply (zenon_L36_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.28 apply (zenon_L39_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.28 apply (zenon_L50_); trivial. % 1.05/1.28 apply (zenon_L53_); trivial. % 1.05/1.28 apply (zenon_L38_); trivial. % 1.05/1.28 apply (zenon_L72_); trivial. % 1.05/1.28 (* end of lemma zenon_L73_ *) % 1.05/1.28 assert (zenon_L74_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H145 zenon_H54 zenon_H62 zenon_H3 zenon_Hb zenon_Hd. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.05/1.28 apply (zenon_L21_); trivial. % 1.05/1.28 (* end of lemma zenon_L74_ *) % 1.05/1.28 assert (zenon_L75_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((hskp15)\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H148 zenon_H62 zenon_H7 zenon_H3 zenon_H54 zenon_H53 zenon_H3e zenon_H23 zenon_H1f zenon_Hb zenon_Hd zenon_H4b zenon_H4e zenon_H52 zenon_H137. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.28 apply (zenon_L4_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.05/1.28 apply (zenon_L18_); trivial. % 1.05/1.28 apply (zenon_L74_); trivial. % 1.05/1.28 (* end of lemma zenon_L75_ *) % 1.05/1.28 assert (zenon_L76_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (ndr1_0) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H149 zenon_H10 zenon_H14a zenon_H14b zenon_H14c. % 1.05/1.28 generalize (zenon_H149 (a360)). zenon_intro zenon_H14d. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_Hf | zenon_intro zenon_H14e ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H150 | zenon_intro zenon_H14f ]. % 1.05/1.28 exact (zenon_H14a zenon_H150). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 1.05/1.28 exact (zenon_H14b zenon_H152). % 1.05/1.28 exact (zenon_H14c zenon_H151). % 1.05/1.28 (* end of lemma zenon_L76_ *) % 1.05/1.28 assert (zenon_L77_ : (~(hskp20)) -> (hskp20) -> False). % 1.05/1.28 do 0 intro. intros zenon_H153 zenon_H154. % 1.05/1.28 exact (zenon_H153 zenon_H154). % 1.05/1.28 (* end of lemma zenon_L77_ *) % 1.05/1.28 assert (zenon_L78_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H54 zenon_H53 zenon_Hcd zenon_H155 zenon_H153 zenon_H14c zenon_H14b zenon_H14a zenon_H12c zenon_Haf zenon_Hb1 zenon_H23 zenon_H22 zenon_H21 zenon_H20 zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.28 apply (zenon_L27_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.28 apply (zenon_L12_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.28 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.05/1.28 apply (zenon_L45_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.05/1.28 apply (zenon_L63_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.05/1.28 apply (zenon_L47_); trivial. % 1.05/1.28 apply (zenon_L65_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.05/1.28 apply (zenon_L76_); trivial. % 1.05/1.28 exact (zenon_H153 zenon_H154). % 1.05/1.28 (* end of lemma zenon_L78_ *) % 1.05/1.28 assert (zenon_L79_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57)))))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H157 zenon_H10 zenon_H158 zenon_H14a zenon_H14c zenon_H14b. % 1.05/1.28 generalize (zenon_H157 (a360)). zenon_intro zenon_H159. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H159); [ zenon_intro zenon_Hf | zenon_intro zenon_H15a ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H15b | zenon_intro zenon_H14f ]. % 1.05/1.28 generalize (zenon_H158 (a360)). zenon_intro zenon_H15c. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_Hf | zenon_intro zenon_H15d ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H150 | zenon_intro zenon_H15e ]. % 1.05/1.28 exact (zenon_H14a zenon_H150). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H151 | zenon_intro zenon_H15f ]. % 1.05/1.28 exact (zenon_H14c zenon_H151). % 1.05/1.28 exact (zenon_H15f zenon_H15b). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 1.05/1.28 exact (zenon_H14b zenon_H152). % 1.05/1.28 exact (zenon_H14c zenon_H151). % 1.05/1.28 (* end of lemma zenon_L79_ *) % 1.05/1.28 assert (zenon_L80_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(hskp3)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H160 zenon_H14 zenon_H13 zenon_H12 zenon_H14b zenon_H14c zenon_H14a zenon_H10 zenon_H157 zenon_H4b. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.05/1.28 apply (zenon_L9_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.05/1.28 apply (zenon_L79_); trivial. % 1.05/1.28 exact (zenon_H4b zenon_H4c). % 1.05/1.28 (* end of lemma zenon_L80_ *) % 1.05/1.28 assert (zenon_L81_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H162 zenon_H10 zenon_H163 zenon_H164 zenon_H165. % 1.05/1.28 generalize (zenon_H162 (a388)). zenon_intro zenon_H166. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_Hf | zenon_intro zenon_H167 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H169 | zenon_intro zenon_H168 ]. % 1.05/1.28 exact (zenon_H163 zenon_H169). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 1.05/1.28 exact (zenon_H164 zenon_H16b). % 1.05/1.28 exact (zenon_H16a zenon_H165). % 1.05/1.28 (* end of lemma zenon_L81_ *) % 1.05/1.28 assert (zenon_L82_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (~(hskp12)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H55 zenon_H16c zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H160 zenon_H165 zenon_H164 zenon_H163 zenon_H9f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.05/1.28 apply (zenon_L80_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.05/1.28 apply (zenon_L81_); trivial. % 1.05/1.28 exact (zenon_H9f zenon_Ha0). % 1.05/1.28 (* end of lemma zenon_L82_ *) % 1.05/1.28 assert (zenon_L83_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H16e zenon_H54 zenon_H16c zenon_H9f zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.28 apply (zenon_L27_); trivial. % 1.05/1.28 apply (zenon_L82_); trivial. % 1.05/1.28 (* end of lemma zenon_L83_ *) % 1.05/1.28 assert (zenon_L84_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H171 zenon_H16c zenon_H9f zenon_H4b zenon_H160 zenon_H54 zenon_H53 zenon_Hcd zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H12c zenon_Hb1 zenon_H23 zenon_H22 zenon_H21 zenon_H20 zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_Hdb zenon_Hde zenon_H134. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.28 apply (zenon_L78_); trivial. % 1.05/1.28 apply (zenon_L53_); trivial. % 1.05/1.28 apply (zenon_L83_); trivial. % 1.05/1.28 (* end of lemma zenon_L84_ *) % 1.05/1.28 assert (zenon_L85_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((hskp13)\/((hskp27)\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446))))))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H136 zenon_H137 zenon_H134 zenon_Hde zenon_Hdb zenon_H1f zenon_H23 zenon_Hb1 zenon_H12c zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_Hcd zenon_H53 zenon_H160 zenon_H9f zenon_H16c zenon_H171 zenon_H10c zenon_H109 zenon_H10b zenon_H87 zenon_H54 zenon_H82 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_Hf6 zenon_Hb zenon_Hf1 zenon_Hf5 zenon_H4b zenon_H4e zenon_H52. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.28 apply (zenon_L58_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.28 apply (zenon_L62_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L84_); trivial. % 1.05/1.28 apply (zenon_L17_); trivial. % 1.05/1.28 (* end of lemma zenon_L85_ *) % 1.05/1.28 assert (zenon_L86_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H84 zenon_H54 zenon_H82 zenon_H3 zenon_Hb zenon_Hd. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.28 apply (zenon_L7_); trivial. % 1.05/1.28 apply (zenon_L29_); trivial. % 1.05/1.28 (* end of lemma zenon_L86_ *) % 1.05/1.28 assert (zenon_L87_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_H3 zenon_Hb zenon_Hd zenon_H66 zenon_H68 zenon_H6a. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.28 apply (zenon_L25_); trivial. % 1.05/1.28 apply (zenon_L86_); trivial. % 1.05/1.28 (* end of lemma zenon_L87_ *) % 1.05/1.28 assert (zenon_L88_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H172 zenon_H10 zenon_H173 zenon_H174 zenon_H175. % 1.05/1.28 generalize (zenon_H172 (a359)). zenon_intro zenon_H176. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H176); [ zenon_intro zenon_Hf | zenon_intro zenon_H177 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H179 | zenon_intro zenon_H178 ]. % 1.05/1.28 exact (zenon_H173 zenon_H179). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H17b | zenon_intro zenon_H17a ]. % 1.05/1.28 exact (zenon_H174 zenon_H17b). % 1.05/1.28 exact (zenon_H175 zenon_H17a). % 1.05/1.28 (* end of lemma zenon_L88_ *) % 1.05/1.28 assert (zenon_L89_ : (~(hskp7)) -> (hskp7) -> False). % 1.05/1.28 do 0 intro. intros zenon_H17c zenon_H17d. % 1.05/1.28 exact (zenon_H17c zenon_H17d). % 1.05/1.28 (* end of lemma zenon_L89_ *) % 1.05/1.28 assert (zenon_L90_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp7)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H94 zenon_H17e zenon_H175 zenon_H174 zenon_H173 zenon_H17c. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.05/1.28 apply (zenon_L88_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.05/1.28 apply (zenon_L33_); trivial. % 1.05/1.28 exact (zenon_H17c zenon_H17d). % 1.05/1.28 (* end of lemma zenon_L90_ *) % 1.05/1.28 assert (zenon_L91_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_Hd zenon_Hb zenon_H3 zenon_H82 zenon_H54 zenon_H87. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.28 apply (zenon_L87_); trivial. % 1.05/1.28 apply (zenon_L90_); trivial. % 1.05/1.28 (* end of lemma zenon_L91_ *) % 1.05/1.28 assert (zenon_L92_ : (~(hskp1)) -> (hskp1) -> False). % 1.05/1.28 do 0 intro. intros zenon_H180 zenon_H181. % 1.05/1.28 exact (zenon_H180 zenon_H181). % 1.05/1.28 (* end of lemma zenon_L92_ *) % 1.05/1.28 assert (zenon_L93_ : (~(hskp14)) -> (hskp14) -> False). % 1.05/1.28 do 0 intro. intros zenon_H182 zenon_H183. % 1.05/1.28 exact (zenon_H182 zenon_H183). % 1.05/1.28 (* end of lemma zenon_L93_ *) % 1.05/1.28 assert (zenon_L94_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp14)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H84 zenon_H184 zenon_H180 zenon_H182. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H78 | zenon_intro zenon_H185 ]. % 1.05/1.28 apply (zenon_L28_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H181 | zenon_intro zenon_H183 ]. % 1.05/1.28 exact (zenon_H180 zenon_H181). % 1.05/1.28 exact (zenon_H182 zenon_H183). % 1.05/1.28 (* end of lemma zenon_L94_ *) % 1.05/1.28 assert (zenon_L95_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H87 zenon_H184 zenon_H182 zenon_H180 zenon_H66 zenon_H68 zenon_H6a. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.28 apply (zenon_L25_); trivial. % 1.05/1.28 apply (zenon_L94_); trivial. % 1.05/1.28 (* end of lemma zenon_L95_ *) % 1.05/1.28 assert (zenon_L96_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.28 apply (zenon_L95_); trivial. % 1.05/1.28 apply (zenon_L90_); trivial. % 1.05/1.28 (* end of lemma zenon_L96_ *) % 1.05/1.28 assert (zenon_L97_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a375))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a375)) -> False). % 1.05/1.28 do 0 intro. intros zenon_He6 zenon_H10 zenon_H186 zenon_H88 zenon_H187. % 1.05/1.28 generalize (zenon_He6 (a375)). zenon_intro zenon_H188. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H188); [ zenon_intro zenon_Hf | zenon_intro zenon_H189 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ]. % 1.05/1.28 exact (zenon_H186 zenon_H18b). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ]. % 1.05/1.28 generalize (zenon_H88 (a375)). zenon_intro zenon_H18e. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H18e); [ zenon_intro zenon_Hf | zenon_intro zenon_H18f ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H18b | zenon_intro zenon_H190 ]. % 1.05/1.28 exact (zenon_H186 zenon_H18b). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H191 | zenon_intro zenon_H18c ]. % 1.05/1.28 exact (zenon_H18d zenon_H191). % 1.05/1.28 exact (zenon_H18c zenon_H187). % 1.05/1.28 exact (zenon_H18c zenon_H187). % 1.05/1.28 (* end of lemma zenon_L97_ *) % 1.05/1.28 assert (zenon_L98_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a375)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (~(c0_1 (a375))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp4)) -> False). % 1.05/1.28 do 0 intro. intros zenon_Hf1 zenon_H187 zenon_H88 zenon_H186 zenon_H10 zenon_H64 zenon_Hb. % 1.05/1.28 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf4 ]. % 1.05/1.28 apply (zenon_L97_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc ]. % 1.05/1.28 exact (zenon_H64 zenon_H65). % 1.05/1.28 exact (zenon_Hb zenon_Hc). % 1.05/1.28 (* end of lemma zenon_L98_ *) % 1.05/1.28 assert (zenon_L99_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a375)) -> (~(c0_1 (a375))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_H10 zenon_H173 zenon_H174 zenon_H175 zenon_Hf1 zenon_Hb zenon_H187 zenon_H186 zenon_H17c zenon_H17e. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.05/1.28 apply (zenon_L88_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.05/1.28 apply (zenon_L98_); trivial. % 1.05/1.28 exact (zenon_H17c zenon_H17d). % 1.05/1.28 apply (zenon_L30_); trivial. % 1.05/1.28 (* end of lemma zenon_L99_ *) % 1.05/1.28 assert (zenon_L100_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a375))) -> (~(c1_1 (a375))) -> (c3_1 (a375)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H192 zenon_H10 zenon_H186 zenon_H193 zenon_H187. % 1.05/1.28 generalize (zenon_H192 (a375)). zenon_intro zenon_H194. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_Hf | zenon_intro zenon_H195 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H18b | zenon_intro zenon_H196 ]. % 1.05/1.28 exact (zenon_H186 zenon_H18b). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H197 | zenon_intro zenon_H18c ]. % 1.05/1.28 exact (zenon_H193 zenon_H197). % 1.05/1.28 exact (zenon_H18c zenon_H187). % 1.05/1.28 (* end of lemma zenon_L100_ *) % 1.05/1.28 assert (zenon_L101_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a375)) -> (~(c1_1 (a375))) -> (~(c0_1 (a375))) -> (~(hskp0)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H4d zenon_H198 zenon_H187 zenon_H193 zenon_H186 zenon_H109. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H41 | zenon_intro zenon_H199 ]. % 1.05/1.28 apply (zenon_L15_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H192 | zenon_intro zenon_H10a ]. % 1.05/1.28 apply (zenon_L100_); trivial. % 1.05/1.28 exact (zenon_H109 zenon_H10a). % 1.05/1.28 (* end of lemma zenon_L101_ *) % 1.05/1.28 assert (zenon_L102_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H19a zenon_H52 zenon_H198 zenon_H109 zenon_H17e zenon_H17c zenon_Hb zenon_Hf1 zenon_H175 zenon_H174 zenon_H173 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H82 zenon_H54 zenon_H87. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L99_); trivial. % 1.05/1.28 apply (zenon_L101_); trivial. % 1.05/1.28 (* end of lemma zenon_L102_ *) % 1.05/1.28 assert (zenon_L103_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H19d zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_Hf1 zenon_H76 zenon_H184 zenon_H180 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_Hd zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.28 apply (zenon_L91_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.28 apply (zenon_L96_); trivial. % 1.05/1.28 apply (zenon_L102_); trivial. % 1.05/1.28 (* end of lemma zenon_L103_ *) % 1.05/1.28 assert (zenon_L104_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H102 zenon_H10 zenon_H1a2 zenon_H6d zenon_H6e zenon_H6f. % 1.05/1.28 generalize (zenon_H102 (a368)). zenon_intro zenon_H103. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_Hf | zenon_intro zenon_H104 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H105 | zenon_intro zenon_H72 ]. % 1.05/1.28 generalize (zenon_H1a2 (a368)). zenon_intro zenon_H1a3. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_Hf | zenon_intro zenon_H1a4 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H108 | zenon_intro zenon_H1a5 ]. % 1.05/1.28 exact (zenon_H105 zenon_H108). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H73 | zenon_intro zenon_H75 ]. % 1.05/1.28 exact (zenon_H6d zenon_H73). % 1.05/1.28 exact (zenon_H75 zenon_H6e). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 1.05/1.28 exact (zenon_H75 zenon_H6e). % 1.05/1.28 exact (zenon_H74 zenon_H6f). % 1.05/1.28 (* end of lemma zenon_L104_ *) % 1.05/1.28 assert (zenon_L105_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1a6 zenon_H8b zenon_H8a zenon_H89 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_Hb. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.05/1.28 apply (zenon_L33_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.05/1.28 apply (zenon_L104_); trivial. % 1.05/1.28 exact (zenon_Hb zenon_Hc). % 1.05/1.28 (* end of lemma zenon_L105_ *) % 1.05/1.28 assert (zenon_L106_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H111 zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa. % 1.05/1.28 generalize (zenon_H111 (a361)). zenon_intro zenon_H1ab. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_Hf | zenon_intro zenon_H1ac ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 1.05/1.28 exact (zenon_H1a8 zenon_H1ae). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ]. % 1.05/1.28 exact (zenon_H1a9 zenon_H1b0). % 1.05/1.28 exact (zenon_H1af zenon_H1aa). % 1.05/1.28 (* end of lemma zenon_L106_ *) % 1.05/1.28 assert (zenon_L107_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(hskp23)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H6e zenon_H6f zenon_H6d zenon_H10 zenon_He6 zenon_Haf. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.05/1.28 apply (zenon_L106_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.05/1.28 apply (zenon_L66_); trivial. % 1.05/1.28 exact (zenon_Haf zenon_Hb0). % 1.05/1.28 (* end of lemma zenon_L107_ *) % 1.05/1.28 assert (zenon_L108_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp4)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp6)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1b1 zenon_Hb zenon_H89 zenon_H8a zenon_H8b zenon_H1a6 zenon_Haf zenon_H10 zenon_H6d zenon_H6f zenon_H6e zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_H68. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.05/1.28 apply (zenon_L105_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.05/1.28 apply (zenon_L107_); trivial. % 1.05/1.28 exact (zenon_H68 zenon_H69). % 1.05/1.28 (* end of lemma zenon_L108_ *) % 1.05/1.28 assert (zenon_L109_ : (~(hskp8)) -> (hskp8) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1b3 zenon_H1b4. % 1.05/1.28 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.28 (* end of lemma zenon_L109_ *) % 1.05/1.28 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp8)) -> False). % 1.05/1.28 do 0 intro. intros zenon_Hdd zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H89 zenon_H8a zenon_H8b zenon_H1a6 zenon_H1b3. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.05/1.28 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.05/1.28 apply (zenon_L105_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.05/1.28 apply (zenon_L51_); trivial. % 1.05/1.28 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.28 (* end of lemma zenon_L110_ *) % 1.05/1.28 assert (zenon_L111_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H94 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H68 zenon_H1b1. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.28 apply (zenon_L108_); trivial. % 1.05/1.28 apply (zenon_L110_); trivial. % 1.05/1.28 (* end of lemma zenon_L111_ *) % 1.05/1.28 assert (zenon_L112_ : (forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1b7 zenon_H10 zenon_H1b8 zenon_H1b9 zenon_H1ba. % 1.05/1.28 generalize (zenon_H1b7 (a363)). zenon_intro zenon_H1bb. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_Hf | zenon_intro zenon_H1bc ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1be | zenon_intro zenon_H1bd ]. % 1.05/1.28 exact (zenon_H1b8 zenon_H1be). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ]. % 1.05/1.28 exact (zenon_H1c0 zenon_H1b9). % 1.05/1.28 exact (zenon_H1bf zenon_H1ba). % 1.05/1.28 (* end of lemma zenon_L112_ *) % 1.05/1.28 assert (zenon_L113_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H13d zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1b8 zenon_H1b9 zenon_H1ba. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.05/1.28 apply (zenon_L63_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.05/1.28 apply (zenon_L26_); trivial. % 1.05/1.28 apply (zenon_L112_); trivial. % 1.05/1.28 (* end of lemma zenon_L113_ *) % 1.05/1.28 assert (zenon_L114_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((hskp13)\/((hskp27)\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((hskp15)\/((hskp11)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H19d zenon_H136 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10c zenon_H109 zenon_H10b zenon_H87 zenon_H82 zenon_H76 zenon_Hf6 zenon_Hf1 zenon_Hf5 zenon_H137 zenon_H52 zenon_H4e zenon_H4b zenon_Hd zenon_Hb zenon_H1f zenon_H23 zenon_H3e zenon_H53 zenon_H54 zenon_H7 zenon_H62 zenon_H148. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.28 apply (zenon_L75_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.28 apply (zenon_L58_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.28 apply (zenon_L62_); trivial. % 1.05/1.28 apply (zenon_L113_); trivial. % 1.05/1.28 (* end of lemma zenon_L114_ *) % 1.05/1.28 assert (zenon_L115_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((hskp13)\/((hskp27)\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((hskp15)\/((hskp11)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H136 zenon_H1c1 zenon_H10c zenon_H109 zenon_H10b zenon_H87 zenon_H82 zenon_H76 zenon_Hf6 zenon_Hf1 zenon_Hf5 zenon_H137 zenon_H52 zenon_H4e zenon_H4b zenon_Hd zenon_Hb zenon_H1f zenon_H23 zenon_H3e zenon_H53 zenon_H54 zenon_H7 zenon_H62 zenon_H148. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.05/1.28 apply (zenon_L114_); trivial. % 1.05/1.28 (* end of lemma zenon_L115_ *) % 1.05/1.28 assert (zenon_L116_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((hskp13)\/((hskp27)\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a446))/\((c3_1 (a446))/\(~(c0_1 (a446))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((hskp15)\/((hskp11)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1c6 zenon_H136 zenon_H1c1 zenon_H10c zenon_H109 zenon_H10b zenon_Hf6 zenon_Hf1 zenon_Hf5 zenon_H148 zenon_H62 zenon_H7 zenon_H54 zenon_H53 zenon_H3e zenon_H23 zenon_H1f zenon_Hb zenon_Hd zenon_H4b zenon_H4e zenon_H52 zenon_H137 zenon_H6a zenon_H68 zenon_H76 zenon_H82 zenon_H87 zenon_H1b1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_H1a6 zenon_H1b5 zenon_H134 zenon_H98 zenon_H19d. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.28 apply (zenon_L75_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.28 apply (zenon_L32_); trivial. % 1.05/1.28 apply (zenon_L111_); trivial. % 1.05/1.28 apply (zenon_L115_); trivial. % 1.05/1.28 (* end of lemma zenon_L116_ *) % 1.05/1.28 assert (zenon_L117_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a369))) -> (c1_1 (a369)) -> (c3_1 (a369)) -> False). % 1.05/1.28 do 0 intro. intros zenon_Hd1 zenon_H10 zenon_H114 zenon_H118 zenon_H113. % 1.05/1.28 generalize (zenon_Hd1 (a369)). zenon_intro zenon_H1c7. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1c7); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c8 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H11f | zenon_intro zenon_H11b ]. % 1.05/1.28 exact (zenon_H114 zenon_H11f). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 1.05/1.28 exact (zenon_H11e zenon_H118). % 1.05/1.28 exact (zenon_H11d zenon_H113). % 1.05/1.28 (* end of lemma zenon_L117_ *) % 1.05/1.28 assert (zenon_L118_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H111 zenon_H10 zenon_Hd1 zenon_H114 zenon_H113. % 1.05/1.28 generalize (zenon_H111 (a369)). zenon_intro zenon_H115. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_Hf | zenon_intro zenon_H116 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 1.05/1.28 apply (zenon_L117_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11f | zenon_intro zenon_H11d ]. % 1.05/1.28 exact (zenon_H114 zenon_H11f). % 1.05/1.28 exact (zenon_H11d zenon_H113). % 1.05/1.28 (* end of lemma zenon_L118_ *) % 1.05/1.28 assert (zenon_L119_ : (forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H128 zenon_H10 zenon_Hd1 zenon_H114 zenon_H113 zenon_H112. % 1.05/1.28 generalize (zenon_H128 (a369)). zenon_intro zenon_H1c9. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1c9); [ zenon_intro zenon_Hf | zenon_intro zenon_H1ca ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H118 | zenon_intro zenon_H1cb ]. % 1.05/1.28 apply (zenon_L117_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ]. % 1.05/1.28 exact (zenon_H11c zenon_H112). % 1.05/1.28 exact (zenon_H11d zenon_H113). % 1.05/1.28 (* end of lemma zenon_L119_ *) % 1.05/1.28 assert (zenon_L120_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_Hd1 zenon_H10 zenon_Haf. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.05/1.28 apply (zenon_L118_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.05/1.28 apply (zenon_L119_); trivial. % 1.05/1.28 exact (zenon_Haf zenon_Hb0). % 1.05/1.28 (* end of lemma zenon_L120_ *) % 1.05/1.28 assert (zenon_L121_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H14c zenon_H14b zenon_H14a zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H10 zenon_Haf. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.05/1.28 apply (zenon_L88_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.05/1.28 apply (zenon_L76_); trivial. % 1.05/1.28 apply (zenon_L120_); trivial. % 1.05/1.28 (* end of lemma zenon_L121_ *) % 1.05/1.28 assert (zenon_L122_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> False). % 1.05/1.28 do 0 intro. intros zenon_Hdd zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H14c zenon_H14b zenon_H14a. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.05/1.28 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.05/1.28 apply (zenon_L88_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.05/1.28 apply (zenon_L76_); trivial. % 1.05/1.28 apply (zenon_L51_); trivial. % 1.05/1.28 (* end of lemma zenon_L122_ *) % 1.05/1.28 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H135 zenon_H134 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H12d zenon_H1cc. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.28 apply (zenon_L121_); trivial. % 1.05/1.28 apply (zenon_L122_); trivial. % 1.05/1.28 (* end of lemma zenon_L123_ *) % 1.05/1.28 assert (zenon_L124_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> (~(hskp17)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H98 zenon_H95 zenon_H92 zenon_H6a zenon_H68 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.28 apply (zenon_L95_); trivial. % 1.05/1.28 apply (zenon_L35_); trivial. % 1.05/1.28 (* end of lemma zenon_L124_ *) % 1.05/1.28 assert (zenon_L125_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H27 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0. % 1.05/1.28 generalize (zenon_H27 (a358)). zenon_intro zenon_H1d1. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d2 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1d3 ]. % 1.05/1.28 exact (zenon_H1ce zenon_H1d4). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 1.05/1.28 exact (zenon_H1cf zenon_H1d6). % 1.05/1.28 exact (zenon_H1d5 zenon_H1d0). % 1.05/1.28 (* end of lemma zenon_L125_ *) % 1.05/1.28 assert (zenon_L126_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H1b zenon_H1d. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.05/1.28 apply (zenon_L125_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H1c | zenon_intro zenon_H1e ]. % 1.05/1.28 exact (zenon_H1b zenon_H1c). % 1.05/1.28 exact (zenon_H1d zenon_H1e). % 1.05/1.28 (* end of lemma zenon_L126_ *) % 1.05/1.28 assert (zenon_L127_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1d7 zenon_H10 zenon_Hf8 zenon_Ha4 zenon_Ha3. % 1.05/1.28 generalize (zenon_H1d7 (a380)). zenon_intro zenon_H1d8. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d9 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1db | zenon_intro zenon_H1da ]. % 1.05/1.28 generalize (zenon_Hf8 (a380)). zenon_intro zenon_H1dc. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf | zenon_intro zenon_H1dd ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Haa | zenon_intro zenon_H1de ]. % 1.05/1.28 exact (zenon_Ha4 zenon_Haa). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hac | zenon_intro zenon_H1df ]. % 1.05/1.28 exact (zenon_Hac zenon_Ha3). % 1.05/1.28 exact (zenon_H1df zenon_H1db). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ]. % 1.05/1.28 exact (zenon_Ha4 zenon_Haa). % 1.05/1.28 exact (zenon_Hac zenon_Ha3). % 1.05/1.28 (* end of lemma zenon_L127_ *) % 1.05/1.28 assert (zenon_L128_ : (~(hskp26)) -> (hskp26) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1e0 zenon_H1e1. % 1.05/1.28 exact (zenon_H1e0 zenon_H1e1). % 1.05/1.28 (* end of lemma zenon_L128_ *) % 1.05/1.28 assert (zenon_L129_ : ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> (forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (ndr1_0) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1e2 zenon_H1e0 zenon_Ha3 zenon_Ha4 zenon_Hf8 zenon_H10. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1e1 ]. % 1.05/1.28 apply (zenon_L127_); trivial. % 1.05/1.28 exact (zenon_H1e0 zenon_H1e1). % 1.05/1.28 (* end of lemma zenon_L129_ *) % 1.05/1.28 assert (zenon_L130_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (~(hskp26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H3d zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Ha4 zenon_Ha3 zenon_H1e0 zenon_H1e2. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.05/1.28 apply (zenon_L125_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.05/1.28 apply (zenon_L129_); trivial. % 1.05/1.28 apply (zenon_L13_); trivial. % 1.05/1.28 (* end of lemma zenon_L130_ *) % 1.05/1.28 assert (zenon_L131_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (~(hskp26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H53 zenon_H1e3 zenon_Ha4 zenon_Ha3 zenon_H1e0 zenon_H1e2 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.28 apply (zenon_L126_); trivial. % 1.05/1.28 apply (zenon_L130_); trivial. % 1.05/1.28 (* end of lemma zenon_L131_ *) % 1.05/1.28 assert (zenon_L132_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a418))) -> (~(c3_1 (a418))) -> (c0_1 (a418)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1d7 zenon_H10 zenon_H1e5 zenon_H1e6 zenon_H1e7. % 1.05/1.28 generalize (zenon_H1d7 (a418)). zenon_intro zenon_H1e8. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e9 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ea ]. % 1.05/1.28 exact (zenon_H1e5 zenon_H1eb). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ec ]. % 1.05/1.28 exact (zenon_H1e6 zenon_H1ed). % 1.05/1.28 exact (zenon_H1ec zenon_H1e7). % 1.05/1.28 (* end of lemma zenon_L132_ *) % 1.05/1.28 assert (zenon_L133_ : (~(hskp25)) -> (hskp25) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1ee zenon_H1ef. % 1.05/1.28 exact (zenon_H1ee zenon_H1ef). % 1.05/1.28 (* end of lemma zenon_L133_ *) % 1.05/1.28 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> (~(hskp25)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_Hdb zenon_H1ee. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1f4 ]. % 1.05/1.28 apply (zenon_L132_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1ef ]. % 1.05/1.28 exact (zenon_Hdb zenon_Hdc). % 1.05/1.28 exact (zenon_H1ee zenon_H1ef). % 1.05/1.28 (* end of lemma zenon_L134_ *) % 1.05/1.28 assert (zenon_L135_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a417))) -> (~(c3_1 (a417))) -> (c0_1 (a417)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H158 zenon_H10 zenon_H1f5 zenon_H1f6 zenon_H1f7. % 1.05/1.28 generalize (zenon_H158 (a417)). zenon_intro zenon_H1f8. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f9 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ]. % 1.05/1.28 exact (zenon_H1f5 zenon_H1fb). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fc ]. % 1.05/1.28 exact (zenon_H1f6 zenon_H1fd). % 1.05/1.28 exact (zenon_H1fc zenon_H1f7). % 1.05/1.28 (* end of lemma zenon_L135_ *) % 1.05/1.28 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> (~(hskp19)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1fe zenon_H1ff zenon_H4b zenon_H1d. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H10. zenon_intro zenon_H200. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1f7. zenon_intro zenon_H201. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1f5. zenon_intro zenon_H1f6. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H158 | zenon_intro zenon_H202 ]. % 1.05/1.28 apply (zenon_L135_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e ]. % 1.05/1.28 exact (zenon_H4b zenon_H4c). % 1.05/1.28 exact (zenon_H1d zenon_H1e). % 1.05/1.28 (* end of lemma zenon_L136_ *) % 1.05/1.28 assert (zenon_L137_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H203 zenon_H1ff zenon_H4b zenon_H53 zenon_H1e3 zenon_Ha4 zenon_Ha3 zenon_H1e2 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23 zenon_Hdb zenon_H1f1 zenon_H204. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fe ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.05/1.28 apply (zenon_L131_); trivial. % 1.05/1.28 apply (zenon_L134_); trivial. % 1.05/1.28 apply (zenon_L136_); trivial. % 1.05/1.28 (* end of lemma zenon_L137_ *) % 1.05/1.28 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H142 zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L137_); trivial. % 1.05/1.28 apply (zenon_L38_); trivial. % 1.05/1.28 (* end of lemma zenon_L138_ *) % 1.05/1.28 assert (zenon_L139_ : (~(hskp10)) -> (hskp10) -> False). % 1.05/1.28 do 0 intro. intros zenon_H205 zenon_H206. % 1.05/1.28 exact (zenon_H205 zenon_H206). % 1.05/1.28 (* end of lemma zenon_L139_ *) % 1.05/1.28 assert (zenon_L140_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp10)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H19a zenon_H207 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H205. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H192 | zenon_intro zenon_H208 ]. % 1.05/1.28 apply (zenon_L100_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H27 | zenon_intro zenon_H206 ]. % 1.05/1.28 apply (zenon_L125_); trivial. % 1.05/1.28 exact (zenon_H205 zenon_H206). % 1.05/1.28 (* end of lemma zenon_L140_ *) % 1.05/1.28 assert (zenon_L141_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H157 zenon_H10 zenon_H209 zenon_H20a zenon_H20b. % 1.05/1.28 generalize (zenon_H157 (a366)). zenon_intro zenon_H20c. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_Hf | zenon_intro zenon_H20d ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ]. % 1.05/1.28 exact (zenon_H209 zenon_H20f). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 1.05/1.28 exact (zenon_H20a zenon_H211). % 1.05/1.28 exact (zenon_H20b zenon_H210). % 1.05/1.28 (* end of lemma zenon_L141_ *) % 1.05/1.28 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(hskp13)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H3d zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_He2. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.05/1.28 apply (zenon_L141_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.05/1.28 apply (zenon_L13_); trivial. % 1.05/1.28 exact (zenon_He2 zenon_He3). % 1.05/1.28 (* end of lemma zenon_L142_ *) % 1.05/1.28 assert (zenon_L143_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.28 apply (zenon_L126_); trivial. % 1.05/1.28 apply (zenon_L142_); trivial. % 1.05/1.28 (* end of lemma zenon_L143_ *) % 1.05/1.28 assert (zenon_L144_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H3d zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hfb zenon_Hfa zenon_Hf9. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.05/1.28 apply (zenon_L125_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.05/1.28 apply (zenon_L59_); trivial. % 1.05/1.28 apply (zenon_L13_); trivial. % 1.05/1.28 (* end of lemma zenon_L144_ *) % 1.05/1.28 assert (zenon_L145_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H53 zenon_H1e3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.28 apply (zenon_L126_); trivial. % 1.05/1.28 apply (zenon_L144_); trivial. % 1.05/1.28 (* end of lemma zenon_L145_ *) % 1.05/1.28 assert (zenon_L146_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H13a zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L145_); trivial. % 1.05/1.28 apply (zenon_L38_); trivial. % 1.05/1.28 (* end of lemma zenon_L146_ *) % 1.05/1.28 assert (zenon_L147_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H214 zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H99 zenon_H68 zenon_H9b zenon_H52. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L143_); trivial. % 1.05/1.28 apply (zenon_L38_); trivial. % 1.05/1.28 apply (zenon_L146_); trivial. % 1.05/1.28 (* end of lemma zenon_L147_ *) % 1.05/1.28 assert (zenon_L148_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H217 zenon_H136 zenon_H212 zenon_H141 zenon_H52 zenon_H9b zenon_H99 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203 zenon_H87 zenon_H184 zenon_H180 zenon_H68 zenon_H6a zenon_H95 zenon_H98 zenon_H207 zenon_H19e. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.05/1.28 apply (zenon_L124_); trivial. % 1.05/1.28 apply (zenon_L138_); trivial. % 1.05/1.28 apply (zenon_L140_); trivial. % 1.05/1.28 apply (zenon_L147_); trivial. % 1.05/1.28 (* end of lemma zenon_L148_ *) % 1.05/1.28 assert (zenon_L149_ : ((hskp17)\/((hskp1)\/(hskp11))) -> (~(hskp17)) -> (~(hskp1)) -> (~(hskp11)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H218 zenon_H92 zenon_H180 zenon_H3. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H93 | zenon_intro zenon_H219 ]. % 1.05/1.28 exact (zenon_H92 zenon_H93). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H181 | zenon_intro zenon_H4 ]. % 1.05/1.28 exact (zenon_H180 zenon_H181). % 1.05/1.28 exact (zenon_H3 zenon_H4). % 1.05/1.28 (* end of lemma zenon_L149_ *) % 1.05/1.28 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp2)) -> False). % 1.05/1.28 do 0 intro. intros zenon_Hcc zenon_H21a zenon_H44 zenon_H43 zenon_H42 zenon_Hdb. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.05/1.28 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H41 | zenon_intro zenon_H21b ]. % 1.05/1.28 apply (zenon_L15_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hdc ]. % 1.05/1.28 apply (zenon_L46_); trivial. % 1.05/1.28 exact (zenon_Hdb zenon_Hdc). % 1.05/1.28 (* end of lemma zenon_L150_ *) % 1.05/1.28 assert (zenon_L151_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (c1_1 (a380)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H4d zenon_Hd0 zenon_H21a zenon_Hdb zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H9f zenon_Ha1. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.28 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.05/1.28 apply (zenon_L42_); trivial. % 1.05/1.28 apply (zenon_L150_); trivial. % 1.05/1.28 (* end of lemma zenon_L151_ *) % 1.05/1.28 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H142 zenon_H52 zenon_Hd0 zenon_H21a zenon_H9f zenon_Ha1 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L137_); trivial. % 1.05/1.28 apply (zenon_L151_); trivial. % 1.05/1.28 (* end of lemma zenon_L152_ *) % 1.05/1.28 assert (zenon_L153_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> (~(hskp1)) -> (~(hskp11)) -> ((hskp17)\/((hskp1)\/(hskp11))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H141 zenon_H52 zenon_Hd0 zenon_H21a zenon_H9f zenon_Ha1 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203 zenon_H180 zenon_H3 zenon_H218. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.05/1.28 apply (zenon_L149_); trivial. % 1.05/1.28 apply (zenon_L152_); trivial. % 1.05/1.28 (* end of lemma zenon_L153_ *) % 1.05/1.28 assert (zenon_L154_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (~(c3_1 (a358))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H172 zenon_H10 zenon_H1ce zenon_H11 zenon_H1cf. % 1.05/1.28 generalize (zenon_H172 (a358)). zenon_intro zenon_H21c. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_Hf | zenon_intro zenon_H21d ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H21e ]. % 1.05/1.28 exact (zenon_H1ce zenon_H1d4). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21f | zenon_intro zenon_H1d6 ]. % 1.05/1.28 generalize (zenon_H11 (a358)). zenon_intro zenon_H220. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_Hf | zenon_intro zenon_H221 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H222 ]. % 1.05/1.28 exact (zenon_H1ce zenon_H1d4). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H223 ]. % 1.05/1.28 exact (zenon_H1cf zenon_H1d6). % 1.05/1.28 exact (zenon_H223 zenon_H21f). % 1.05/1.28 exact (zenon_H1cf zenon_H1d6). % 1.05/1.28 (* end of lemma zenon_L154_ *) % 1.05/1.28 assert (zenon_L155_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(hskp3)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H160 zenon_H1cf zenon_H1ce zenon_H172 zenon_H14b zenon_H14c zenon_H14a zenon_H10 zenon_H157 zenon_H4b. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.05/1.28 apply (zenon_L154_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.05/1.28 apply (zenon_L79_); trivial. % 1.05/1.28 exact (zenon_H4b zenon_H4c). % 1.05/1.28 (* end of lemma zenon_L155_ *) % 1.05/1.28 assert (zenon_L156_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H224 zenon_H10 zenon_H114 zenon_H112 zenon_H113. % 1.05/1.28 generalize (zenon_H224 (a369)). zenon_intro zenon_H225. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H225); [ zenon_intro zenon_Hf | zenon_intro zenon_H226 ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H11f | zenon_intro zenon_H1cb ]. % 1.05/1.28 exact (zenon_H114 zenon_H11f). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ]. % 1.05/1.28 exact (zenon_H11c zenon_H112). % 1.05/1.28 exact (zenon_H11d zenon_H113). % 1.05/1.28 (* end of lemma zenon_L156_ *) % 1.05/1.28 assert (zenon_L157_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H172 zenon_H1ce zenon_H1cf zenon_H160 zenon_H10 zenon_H114 zenon_H112 zenon_H113. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.28 apply (zenon_L15_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.28 apply (zenon_L155_); trivial. % 1.05/1.28 apply (zenon_L156_); trivial. % 1.05/1.28 (* end of lemma zenon_L157_ *) % 1.05/1.28 assert (zenon_L158_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c1_1 (a358))) -> (c2_1 (a358)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H1a2 zenon_H10 zenon_H1ce zenon_H223 zenon_H1d0. % 1.05/1.28 generalize (zenon_H1a2 (a358)). zenon_intro zenon_H229. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H229); [ zenon_intro zenon_Hf | zenon_intro zenon_H22a ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H22b ]. % 1.05/1.28 exact (zenon_H1ce zenon_H1d4). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H21f | zenon_intro zenon_H1d5 ]. % 1.05/1.28 exact (zenon_H223 zenon_H21f). % 1.05/1.28 exact (zenon_H1d5 zenon_H1d0). % 1.05/1.28 (* end of lemma zenon_L158_ *) % 1.05/1.28 assert (zenon_L159_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a358)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H22c zenon_H10 zenon_H1ce zenon_H1a2 zenon_H1d0. % 1.05/1.28 generalize (zenon_H22c (a358)). zenon_intro zenon_H22d. % 1.05/1.28 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_Hf | zenon_intro zenon_H22e ]. % 1.05/1.28 exact (zenon_Hf zenon_H10). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H22f ]. % 1.05/1.28 exact (zenon_H1ce zenon_H1d4). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H223 | zenon_intro zenon_H1d5 ]. % 1.05/1.28 apply (zenon_L158_); trivial. % 1.05/1.28 exact (zenon_H1d5 zenon_H1d0). % 1.05/1.28 (* end of lemma zenon_L159_ *) % 1.05/1.28 assert (zenon_L160_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (c2_1 (a358)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H1d0 zenon_H1a2 zenon_H1ce zenon_H10 zenon_H109. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.05/1.28 apply (zenon_L15_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.05/1.28 apply (zenon_L159_); trivial. % 1.05/1.28 exact (zenon_H109 zenon_H10a). % 1.05/1.28 (* end of lemma zenon_L160_ *) % 1.05/1.28 assert (zenon_L161_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(hskp0)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H4d zenon_H232 zenon_H113 zenon_H112 zenon_H114 zenon_H160 zenon_H1cf zenon_H14b zenon_H14c zenon_H14a zenon_H4b zenon_H227 zenon_H230 zenon_H1d0 zenon_H1ce zenon_H109. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.28 apply (zenon_L15_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.28 apply (zenon_L157_); trivial. % 1.05/1.28 apply (zenon_L160_); trivial. % 1.05/1.28 (* end of lemma zenon_L161_ *) % 1.05/1.28 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H142 zenon_H52 zenon_H232 zenon_H109 zenon_H230 zenon_H160 zenon_H14b zenon_H14c zenon_H14a zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.28 apply (zenon_L137_); trivial. % 1.05/1.28 apply (zenon_L161_); trivial. % 1.05/1.28 (* end of lemma zenon_L162_ *) % 1.05/1.28 assert (zenon_L163_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((hskp17)\/((hskp1)\/(hskp11))) -> (~(hskp11)) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H140 zenon_H232 zenon_H109 zenon_H230 zenon_H160 zenon_H14b zenon_H14c zenon_H14a zenon_H227 zenon_H218 zenon_H3 zenon_H180 zenon_H203 zenon_H1ff zenon_H4b zenon_H53 zenon_H1e3 zenon_H1e2 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_Hdb zenon_H1f1 zenon_H204 zenon_Ha1 zenon_H21a zenon_Hd0 zenon_H52 zenon_H141. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.05/1.28 apply (zenon_L153_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.05/1.28 apply (zenon_L149_); trivial. % 1.05/1.28 apply (zenon_L162_); trivial. % 1.05/1.28 (* end of lemma zenon_L163_ *) % 1.05/1.28 assert (zenon_L164_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c0_1 (a399))) -> (~(c3_1 (a399))) -> (c1_1 (a399)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp13)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H3d zenon_H212 zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H12 zenon_H13 zenon_H14 zenon_H160 zenon_He2. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.05/1.28 apply (zenon_L80_); trivial. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.05/1.28 apply (zenon_L13_); trivial. % 1.05/1.28 exact (zenon_He2 zenon_He3). % 1.05/1.28 (* end of lemma zenon_L164_ *) % 1.05/1.28 assert (zenon_L165_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.28 apply (zenon_L27_); trivial. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.28 apply (zenon_L126_); trivial. % 1.05/1.28 apply (zenon_L164_); trivial. % 1.05/1.28 (* end of lemma zenon_L165_ *) % 1.05/1.28 assert (zenon_L166_ : ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp29)) -> (~(hskp13)) -> (~(hskp15)) -> False). % 1.05/1.28 do 0 intro. intros zenon_H234 zenon_H9d zenon_He2 zenon_H1. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H9e | zenon_intro zenon_H235 ]. % 1.05/1.28 exact (zenon_H9d zenon_H9e). % 1.05/1.28 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 1.05/1.28 exact (zenon_He2 zenon_He3). % 1.05/1.28 exact (zenon_H1 zenon_H2). % 1.05/1.28 (* end of lemma zenon_L166_ *) % 1.05/1.28 assert (zenon_L167_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H4d zenon_Hd0 zenon_H21a zenon_Hdb zenon_He2 zenon_H1 zenon_H234. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.28 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.28 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.05/1.28 apply (zenon_L166_); trivial. % 1.05/1.28 apply (zenon_L150_); trivial. % 1.05/1.28 (* end of lemma zenon_L167_ *) % 1.05/1.28 assert (zenon_L168_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.05/1.28 do 0 intro. intros zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H1 zenon_H234 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_He2 zenon_H212 zenon_H53 zenon_H54. % 1.05/1.28 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L165_); trivial. % 1.05/1.29 apply (zenon_L167_); trivial. % 1.05/1.29 (* end of lemma zenon_L168_ *) % 1.05/1.29 assert (zenon_L169_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a376))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H158 zenon_H10 zenon_H59 zenon_H224 zenon_H5a zenon_H5b. % 1.05/1.29 generalize (zenon_H158 (a376)). zenon_intro zenon_H236. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_Hf | zenon_intro zenon_H237 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H5f | zenon_intro zenon_H238 ]. % 1.05/1.29 exact (zenon_H59 zenon_H5f). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H239 | zenon_intro zenon_H60 ]. % 1.05/1.29 generalize (zenon_H224 (a376)). zenon_intro zenon_H23a. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_Hf | zenon_intro zenon_H23b ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H61 | zenon_intro zenon_H23c ]. % 1.05/1.29 exact (zenon_H5a zenon_H61). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H60 | zenon_intro zenon_H23d ]. % 1.05/1.29 exact (zenon_H60 zenon_H5b). % 1.05/1.29 exact (zenon_H23d zenon_H239). % 1.05/1.29 exact (zenon_H60 zenon_H5b). % 1.05/1.29 (* end of lemma zenon_L169_ *) % 1.05/1.29 assert (zenon_L170_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H160 zenon_H1cf zenon_H1ce zenon_H172 zenon_H5b zenon_H5a zenon_H224 zenon_H59 zenon_H10 zenon_H4b. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.05/1.29 apply (zenon_L154_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.05/1.29 apply (zenon_L169_); trivial. % 1.05/1.29 exact (zenon_H4b zenon_H4c). % 1.05/1.29 (* end of lemma zenon_L170_ *) % 1.05/1.29 assert (zenon_L171_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H14a zenon_H14c zenon_H14b zenon_H160 zenon_H1cf zenon_H1ce zenon_H172 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H4b. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L155_); trivial. % 1.05/1.29 apply (zenon_L170_); trivial. % 1.05/1.29 (* end of lemma zenon_L171_ *) % 1.05/1.29 assert (zenon_L172_ : (forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H10e zenon_H10 zenon_H22c zenon_H1ce zenon_H1d0 zenon_H1cf. % 1.05/1.29 generalize (zenon_H10e (a358)). zenon_intro zenon_H23e. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H23e); [ zenon_intro zenon_Hf | zenon_intro zenon_H23f ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H21f | zenon_intro zenon_H1d3 ]. % 1.05/1.29 generalize (zenon_H22c (a358)). zenon_intro zenon_H22d. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_Hf | zenon_intro zenon_H22e ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H22f ]. % 1.05/1.29 exact (zenon_H1ce zenon_H1d4). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H223 | zenon_intro zenon_H1d5 ]. % 1.05/1.29 exact (zenon_H223 zenon_H21f). % 1.05/1.29 exact (zenon_H1d5 zenon_H1d0). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 1.05/1.29 exact (zenon_H1cf zenon_H1d6). % 1.05/1.29 exact (zenon_H1d5 zenon_H1d0). % 1.05/1.29 (* end of lemma zenon_L172_ *) % 1.05/1.29 assert (zenon_L173_ : (forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H1b7 zenon_H10 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0. % 1.05/1.29 generalize (zenon_H1b7 (a358)). zenon_intro zenon_H240. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_Hf | zenon_intro zenon_H241 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H22f ]. % 1.05/1.29 exact (zenon_H1cf zenon_H1d6). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H223 | zenon_intro zenon_H1d5 ]. % 1.05/1.29 apply (zenon_L158_); trivial. % 1.05/1.29 exact (zenon_H1d5 zenon_H1d0). % 1.05/1.29 (* end of lemma zenon_L173_ *) % 1.05/1.29 assert (zenon_L174_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H1c1 zenon_H22c zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.05/1.29 apply (zenon_L172_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.05/1.29 apply (zenon_L26_); trivial. % 1.05/1.29 apply (zenon_L173_); trivial. % 1.05/1.29 (* end of lemma zenon_L174_ *) % 1.05/1.29 assert (zenon_L175_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H109. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.05/1.29 apply (zenon_L174_); trivial. % 1.05/1.29 exact (zenon_H109 zenon_H10a). % 1.05/1.29 (* end of lemma zenon_L175_ *) % 1.05/1.29 assert (zenon_L176_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp3)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H4d zenon_H232 zenon_H4b zenon_H59 zenon_H5a zenon_H5b zenon_H160 zenon_H14b zenon_H14c zenon_H14a zenon_H227 zenon_H230 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H109. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.29 apply (zenon_L171_); trivial. % 1.05/1.29 apply (zenon_L175_); trivial. % 1.05/1.29 (* end of lemma zenon_L176_ *) % 1.05/1.29 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H145 zenon_H52 zenon_H232 zenon_H1c1 zenon_H109 zenon_H230 zenon_H227 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_He2 zenon_H212 zenon_H53 zenon_H54. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L165_); trivial. % 1.05/1.29 apply (zenon_L176_); trivial. % 1.05/1.29 (* end of lemma zenon_L177_ *) % 1.05/1.29 assert (zenon_L178_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H148 zenon_H232 zenon_H1c1 zenon_H109 zenon_H230 zenon_H227 zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.05/1.29 apply (zenon_L168_); trivial. % 1.05/1.29 apply (zenon_L177_); trivial. % 1.05/1.29 (* end of lemma zenon_L178_ *) % 1.05/1.29 assert (zenon_L179_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (c0_1 (a373)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (c3_1 (a373)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H102 zenon_H10 zenon_Hbe zenon_H224 zenon_Hc0. % 1.05/1.29 generalize (zenon_H102 (a373)). zenon_intro zenon_H242. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_Hf | zenon_intro zenon_H243 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H244 ]. % 1.05/1.29 exact (zenon_Hc4 zenon_Hbe). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H245 | zenon_intro zenon_Hc5 ]. % 1.05/1.29 generalize (zenon_H224 (a373)). zenon_intro zenon_H246. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_Hf | zenon_intro zenon_H247 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ]. % 1.05/1.29 exact (zenon_H245 zenon_H249). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 1.05/1.29 exact (zenon_Hc4 zenon_Hbe). % 1.05/1.29 exact (zenon_Hc5 zenon_Hc0). % 1.05/1.29 exact (zenon_Hc5 zenon_Hc0). % 1.05/1.29 (* end of lemma zenon_L179_ *) % 1.05/1.29 assert (zenon_L180_ : ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H10c zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_H5. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.05/1.29 apply (zenon_L59_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.05/1.29 apply (zenon_L104_); trivial. % 1.05/1.29 exact (zenon_H5 zenon_H6). % 1.05/1.29 (* end of lemma zenon_L180_ *) % 1.05/1.29 assert (zenon_L181_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp16)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp8)) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hdd zenon_H1b5 zenon_H5 zenon_H6d zenon_H6e zenon_H6f zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10c zenon_H1b3. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.05/1.29 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.05/1.29 apply (zenon_L180_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.05/1.29 apply (zenon_L51_); trivial. % 1.05/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.29 (* end of lemma zenon_L181_ *) % 1.05/1.29 assert (zenon_L182_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H52 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H227 zenon_H12c zenon_H109 zenon_H230 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H10c zenon_H5 zenon_H232 zenon_Hcd zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L145_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.05/1.29 apply (zenon_L45_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L155_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.05/1.29 apply (zenon_L172_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.05/1.29 apply (zenon_L47_); trivial. % 1.05/1.29 apply (zenon_L179_); trivial. % 1.05/1.29 exact (zenon_H109 zenon_H10a). % 1.05/1.29 apply (zenon_L180_); trivial. % 1.05/1.29 apply (zenon_L181_); trivial. % 1.05/1.29 (* end of lemma zenon_L182_ *) % 1.05/1.29 assert (zenon_L183_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c1_1 (a373)) -> (ndr1_0) -> (c0_1 (a373)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (c3_1 (a373)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_Hbf zenon_H10 zenon_Hbe zenon_H224 zenon_Hc0. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.05/1.29 apply (zenon_L63_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.05/1.29 apply (zenon_L47_); trivial. % 1.05/1.29 apply (zenon_L179_); trivial. % 1.05/1.29 (* end of lemma zenon_L183_ *) % 1.05/1.29 assert (zenon_L184_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(hskp0)) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hc7 zenon_H232 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H160 zenon_H1cf zenon_H14b zenon_H14c zenon_H14a zenon_H4b zenon_H227 zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H1d0 zenon_H1ce zenon_H109. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L155_); trivial. % 1.05/1.29 apply (zenon_L183_); trivial. % 1.05/1.29 apply (zenon_L160_); trivial. % 1.05/1.29 (* end of lemma zenon_L184_ *) % 1.05/1.29 assert (zenon_L185_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c2_1 (a358)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hcd zenon_H232 zenon_H1d0 zenon_H109 zenon_H230 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cf zenon_H1ce zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.05/1.29 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.05/1.29 apply (zenon_L45_); trivial. % 1.05/1.29 apply (zenon_L184_); trivial. % 1.05/1.29 (* end of lemma zenon_L185_ *) % 1.05/1.29 assert (zenon_L186_ : (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hbd zenon_H10 zenon_H120 zenon_Hd3 zenon_Hd4. % 1.05/1.29 generalize (zenon_Hbd (a398)). zenon_intro zenon_H24a. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_Hf | zenon_intro zenon_H24b ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24c | zenon_intro zenon_Hd7 ]. % 1.05/1.29 generalize (zenon_H120 (a398)). zenon_intro zenon_H24d. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H24d); [ zenon_intro zenon_Hf | zenon_intro zenon_H24e ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H24f | zenon_intro zenon_Hd7 ]. % 1.05/1.29 exact (zenon_H24c zenon_H24f). % 1.05/1.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 1.05/1.29 exact (zenon_Hda zenon_Hd3). % 1.05/1.29 exact (zenon_Hd9 zenon_Hd4). % 1.05/1.29 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 1.05/1.29 exact (zenon_Hda zenon_Hd3). % 1.05/1.29 exact (zenon_Hd9 zenon_Hd4). % 1.05/1.29 (* end of lemma zenon_L186_ *) % 1.05/1.29 assert (zenon_L187_ : (~(hskp22)) -> (hskp22) -> False). % 1.05/1.29 do 0 intro. intros zenon_H250 zenon_H251. % 1.05/1.29 exact (zenon_H250 zenon_H251). % 1.05/1.29 (* end of lemma zenon_L187_ *) % 1.05/1.29 assert (zenon_L188_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp22)) -> (~(hskp30)) -> (c1_1 (a398)) -> (c3_1 (a398)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H155 zenon_H250 zenon_Had zenon_Hd3 zenon_Hd4 zenon_H252 zenon_H14c zenon_H14b zenon_H14a zenon_H10 zenon_H153. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hbd | zenon_intro zenon_H253 ]. % 1.05/1.29 apply (zenon_L186_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_Hae | zenon_intro zenon_H251 ]. % 1.05/1.29 exact (zenon_Had zenon_Hae). % 1.05/1.29 exact (zenon_H250 zenon_H251). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.05/1.29 apply (zenon_L76_); trivial. % 1.05/1.29 exact (zenon_H153 zenon_H154). % 1.05/1.29 (* end of lemma zenon_L188_ *) % 1.05/1.29 assert (zenon_L189_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H1cc zenon_H4b zenon_H157 zenon_H1ce zenon_H1cf zenon_H160 zenon_H14c zenon_H14b zenon_H14a zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.05/1.29 apply (zenon_L155_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.05/1.29 apply (zenon_L76_); trivial. % 1.05/1.29 apply (zenon_L51_); trivial. % 1.05/1.29 (* end of lemma zenon_L189_ *) % 1.05/1.29 assert (zenon_L190_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp20)) -> (ndr1_0) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (c0_1 (a373)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (c3_1 (a373)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp0)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H153 zenon_H10 zenon_H14a zenon_H14b zenon_H14c zenon_H12c zenon_H1cf zenon_H1d0 zenon_H1ce zenon_Hd4 zenon_Hd3 zenon_Hbe zenon_H224 zenon_Hc0 zenon_H155 zenon_H109. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.05/1.29 apply (zenon_L172_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.05/1.29 apply (zenon_L186_); trivial. % 1.05/1.29 apply (zenon_L179_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.05/1.29 apply (zenon_L76_); trivial. % 1.05/1.29 exact (zenon_H153 zenon_H154). % 1.05/1.29 exact (zenon_H109 zenon_H10a). % 1.05/1.29 (* end of lemma zenon_L190_ *) % 1.05/1.29 assert (zenon_L191_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(hskp20)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hdd zenon_Hcd zenon_H227 zenon_H1d0 zenon_H12c zenon_H109 zenon_H230 zenon_H160 zenon_H4b zenon_H1cf zenon_H1ce zenon_H1cc zenon_H44 zenon_H43 zenon_H42 zenon_H252 zenon_H250 zenon_H14a zenon_H14b zenon_H14c zenon_H153 zenon_H155. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.05/1.29 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.05/1.29 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.05/1.29 apply (zenon_L188_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L189_); trivial. % 1.05/1.29 apply (zenon_L190_); trivial. % 1.05/1.29 (* end of lemma zenon_L191_ *) % 1.05/1.29 assert (zenon_L192_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a397))) -> (c1_1 (a397)) -> (c2_1 (a397)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H22c zenon_H10 zenon_H254 zenon_H255 zenon_H256. % 1.05/1.29 generalize (zenon_H22c (a397)). zenon_intro zenon_H257. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H257); [ zenon_intro zenon_Hf | zenon_intro zenon_H258 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.05/1.29 exact (zenon_H254 zenon_H25a). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25c | zenon_intro zenon_H25b ]. % 1.05/1.29 exact (zenon_H25c zenon_H255). % 1.05/1.29 exact (zenon_H25b zenon_H256). % 1.05/1.29 (* end of lemma zenon_L192_ *) % 1.05/1.29 assert (zenon_L193_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp0)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H25d zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H109. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.05/1.29 apply (zenon_L192_); trivial. % 1.05/1.29 exact (zenon_H109 zenon_H10a). % 1.05/1.29 (* end of lemma zenon_L193_ *) % 1.05/1.29 assert (zenon_L194_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c2_1 (a358)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp20)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H260 zenon_Hcd zenon_H232 zenon_H1d0 zenon_H109 zenon_H230 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cf zenon_H1ce zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H155 zenon_H153 zenon_H252 zenon_H1cc zenon_H134. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.29 apply (zenon_L185_); trivial. % 1.05/1.29 apply (zenon_L191_); trivial. % 1.05/1.29 apply (zenon_L193_); trivial. % 1.05/1.29 (* end of lemma zenon_L194_ *) % 1.05/1.29 assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (~(hskp12)) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hdd zenon_H16c zenon_H14a zenon_H14b zenon_H14c zenon_H160 zenon_H1cf zenon_H1ce zenon_H4b zenon_H1cc zenon_H165 zenon_H164 zenon_H163 zenon_H9f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.05/1.29 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.05/1.29 apply (zenon_L189_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.05/1.29 apply (zenon_L81_); trivial. % 1.05/1.29 exact (zenon_H9f zenon_Ha0). % 1.05/1.29 (* end of lemma zenon_L195_ *) % 1.05/1.29 assert (zenon_L196_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a358)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H16e zenon_H134 zenon_H16c zenon_H9f zenon_H1cc zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H42 zenon_H43 zenon_H44 zenon_H227 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H1ce zenon_H1cf zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H230 zenon_H109 zenon_H1d0 zenon_H232 zenon_Hcd. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.29 apply (zenon_L185_); trivial. % 1.05/1.29 apply (zenon_L195_); trivial. % 1.05/1.29 (* end of lemma zenon_L196_ *) % 1.05/1.29 assert (zenon_L197_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H1c1 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H22c zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1b8 zenon_H1b9 zenon_H1ba. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.05/1.29 apply (zenon_L172_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.05/1.29 apply (zenon_L26_); trivial. % 1.05/1.29 apply (zenon_L112_); trivial. % 1.05/1.29 (* end of lemma zenon_L197_ *) % 1.05/1.29 assert (zenon_L198_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H4d zenon_H230 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6d zenon_H6e zenon_H6f zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H109. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.05/1.29 apply (zenon_L197_); trivial. % 1.05/1.29 exact (zenon_H109 zenon_H10a). % 1.05/1.29 (* end of lemma zenon_L198_ *) % 1.05/1.29 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H13a zenon_H52 zenon_H230 zenon_H109 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L145_); trivial. % 1.05/1.29 apply (zenon_L198_); trivial. % 1.05/1.29 (* end of lemma zenon_L199_ *) % 1.05/1.29 assert (zenon_L200_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H19f zenon_H136 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1e3 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H76 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H212 zenon_H53 zenon_H54 zenon_H227 zenon_H230 zenon_H109 zenon_H1c1 zenon_H232 zenon_H148. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.29 apply (zenon_L178_); trivial. % 1.05/1.29 apply (zenon_L199_); trivial. % 1.05/1.29 (* end of lemma zenon_L200_ *) % 1.05/1.29 assert (zenon_L201_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H19e zenon_H207 zenon_H205 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H87 zenon_H184 zenon_H180 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.29 apply (zenon_L96_); trivial. % 1.05/1.29 apply (zenon_L140_); trivial. % 1.05/1.29 (* end of lemma zenon_L201_ *) % 1.05/1.29 assert (zenon_L202_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.29 apply (zenon_L126_); trivial. % 1.05/1.29 apply (zenon_L14_); trivial. % 1.05/1.29 (* end of lemma zenon_L202_ *) % 1.05/1.29 assert (zenon_L203_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H52 zenon_H232 zenon_H109 zenon_H230 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L202_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.29 apply (zenon_L88_); trivial. % 1.05/1.29 apply (zenon_L160_); trivial. % 1.05/1.29 (* end of lemma zenon_L203_ *) % 1.05/1.29 assert (zenon_L204_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H141 zenon_H52 zenon_Hd0 zenon_H21a zenon_H9f zenon_Ha1 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203 zenon_H87 zenon_H184 zenon_H182 zenon_H180 zenon_H68 zenon_H6a zenon_H95 zenon_H98. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.05/1.29 apply (zenon_L124_); trivial. % 1.05/1.29 apply (zenon_L152_); trivial. % 1.05/1.29 (* end of lemma zenon_L204_ *) % 1.05/1.29 assert (zenon_L205_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H19a zenon_H52 zenon_H198 zenon_H109 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L143_); trivial. % 1.05/1.29 apply (zenon_L101_); trivial. % 1.05/1.29 (* end of lemma zenon_L205_ *) % 1.05/1.29 assert (zenon_L206_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H13a zenon_H52 zenon_H232 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H109 zenon_H230 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L145_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.29 apply (zenon_L88_); trivial. % 1.05/1.29 apply (zenon_L175_); trivial. % 1.05/1.29 (* end of lemma zenon_L206_ *) % 1.05/1.29 assert (zenon_L207_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H4d zenon_H227 zenon_H20b zenon_H20a zenon_H209 zenon_H114 zenon_H112 zenon_H113. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L141_); trivial. % 1.05/1.29 apply (zenon_L156_); trivial. % 1.05/1.29 (* end of lemma zenon_L207_ *) % 1.05/1.29 assert (zenon_L208_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H52 zenon_H227 zenon_H113 zenon_H112 zenon_H114 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L143_); trivial. % 1.05/1.29 apply (zenon_L207_); trivial. % 1.05/1.29 (* end of lemma zenon_L208_ *) % 1.05/1.29 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H135 zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H52. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.29 apply (zenon_L208_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L145_); trivial. % 1.05/1.29 apply (zenon_L207_); trivial. % 1.05/1.29 (* end of lemma zenon_L209_ *) % 1.05/1.29 assert (zenon_L210_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H19e zenon_H207 zenon_H205 zenon_H98 zenon_H95 zenon_H6a zenon_H68 zenon_H180 zenon_H184 zenon_H87 zenon_H203 zenon_H1ff zenon_H4b zenon_H53 zenon_H1e3 zenon_H1e2 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_Hdb zenon_H1f1 zenon_H204 zenon_Ha1 zenon_H9f zenon_H21a zenon_Hd0 zenon_H52 zenon_H141. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.29 apply (zenon_L204_); trivial. % 1.05/1.29 apply (zenon_L140_); trivial. % 1.05/1.29 (* end of lemma zenon_L210_ *) % 1.05/1.29 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(hskp16)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H3d zenon_H261 zenon_H8b zenon_H8a zenon_H89 zenon_H5. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H88 | zenon_intro zenon_H262 ]. % 1.05/1.29 apply (zenon_L33_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.05/1.29 apply (zenon_L13_); trivial. % 1.05/1.29 exact (zenon_H5 zenon_H6). % 1.05/1.29 (* end of lemma zenon_L211_ *) % 1.05/1.29 assert (zenon_L212_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H53 zenon_H261 zenon_H5 zenon_H8b zenon_H8a zenon_H89 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.29 apply (zenon_L126_); trivial. % 1.05/1.29 apply (zenon_L211_); trivial. % 1.05/1.29 (* end of lemma zenon_L212_ *) % 1.05/1.29 assert (zenon_L213_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H157 zenon_H10 zenon_H173 zenon_H1a2 zenon_H174 zenon_H175. % 1.05/1.29 generalize (zenon_H157 (a359)). zenon_intro zenon_H263. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_Hf | zenon_intro zenon_H264 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H179 | zenon_intro zenon_H265 ]. % 1.05/1.29 exact (zenon_H173 zenon_H179). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H266 | zenon_intro zenon_H17a ]. % 1.05/1.29 generalize (zenon_H1a2 (a359)). zenon_intro zenon_H267. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_Hf | zenon_intro zenon_H268 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H179 | zenon_intro zenon_H269 ]. % 1.05/1.29 exact (zenon_H173 zenon_H179). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H17b | zenon_intro zenon_H26a ]. % 1.05/1.29 exact (zenon_H174 zenon_H17b). % 1.05/1.29 exact (zenon_H26a zenon_H266). % 1.05/1.29 exact (zenon_H175 zenon_H17a). % 1.05/1.29 (* end of lemma zenon_L213_ *) % 1.05/1.29 assert (zenon_L214_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H4d zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H114 zenon_H112 zenon_H113. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.29 apply (zenon_L88_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L213_); trivial. % 1.05/1.29 apply (zenon_L156_); trivial. % 1.05/1.29 (* end of lemma zenon_L214_ *) % 1.05/1.29 assert (zenon_L215_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H94 zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H5 zenon_H261 zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L212_); trivial. % 1.05/1.29 apply (zenon_L214_); trivial. % 1.05/1.29 (* end of lemma zenon_L215_ *) % 1.05/1.29 assert (zenon_L216_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a361))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H12d zenon_H1a9 zenon_H1aa zenon_H192 zenon_H1a8 zenon_H10 zenon_Haf. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.05/1.29 apply (zenon_L106_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.05/1.29 generalize (zenon_H128 (a361)). zenon_intro zenon_H26b. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_Hf | zenon_intro zenon_H26c ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1ae | zenon_intro zenon_H26d ]. % 1.05/1.29 exact (zenon_H1a8 zenon_H1ae). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H26e | zenon_intro zenon_H1af ]. % 1.05/1.29 generalize (zenon_H192 (a361)). zenon_intro zenon_H26f. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_Hf | zenon_intro zenon_H270 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H272 | zenon_intro zenon_H271 ]. % 1.05/1.29 exact (zenon_H26e zenon_H272). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ]. % 1.05/1.29 exact (zenon_H1a8 zenon_H1ae). % 1.05/1.29 exact (zenon_H1af zenon_H1aa). % 1.05/1.29 exact (zenon_H1af zenon_H1aa). % 1.05/1.29 exact (zenon_Haf zenon_Hb0). % 1.05/1.29 (* end of lemma zenon_L216_ *) % 1.05/1.29 assert (zenon_L217_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp23)) -> (~(c1_1 (a361))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H207 zenon_Haf zenon_H1a8 zenon_H1aa zenon_H1a9 zenon_H12d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H205. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H192 | zenon_intro zenon_H208 ]. % 1.05/1.29 apply (zenon_L216_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H27 | zenon_intro zenon_H206 ]. % 1.05/1.29 apply (zenon_L125_); trivial. % 1.05/1.29 exact (zenon_H205 zenon_H206). % 1.05/1.29 (* end of lemma zenon_L217_ *) % 1.05/1.29 assert (zenon_L218_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H1c1 zenon_H22 zenon_H21 zenon_H20 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.05/1.29 apply (zenon_L63_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.05/1.29 apply (zenon_L26_); trivial. % 1.05/1.29 apply (zenon_L173_); trivial. % 1.05/1.29 (* end of lemma zenon_L218_ *) % 1.05/1.29 assert (zenon_L219_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp8)) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hdd zenon_H1b5 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H20 zenon_H21 zenon_H22 zenon_H1c1 zenon_H1b3. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.05/1.29 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.05/1.29 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.05/1.29 apply (zenon_L218_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.05/1.29 apply (zenon_L51_); trivial. % 1.05/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.29 (* end of lemma zenon_L219_ *) % 1.05/1.29 assert (zenon_L220_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H13d zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H205 zenon_H207. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.05/1.29 apply (zenon_L217_); trivial. % 1.05/1.29 apply (zenon_L219_); trivial. % 1.05/1.29 (* end of lemma zenon_L220_ *) % 1.05/1.29 assert (zenon_L221_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H1 zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L143_); trivial. % 1.05/1.29 apply (zenon_L167_); trivial. % 1.05/1.29 (* end of lemma zenon_L221_ *) % 1.05/1.29 assert (zenon_L222_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H273 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10 zenon_H9 zenon_H68. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.05/1.29 apply (zenon_L106_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.05/1.29 exact (zenon_H9 zenon_Ha). % 1.05/1.29 exact (zenon_H68 zenon_H69). % 1.05/1.29 (* end of lemma zenon_L222_ *) % 1.05/1.29 assert (zenon_L223_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H160 zenon_H14 zenon_H13 zenon_H12 zenon_H5b zenon_H5a zenon_H224 zenon_H59 zenon_H10 zenon_H4b. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.05/1.29 apply (zenon_L9_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.05/1.29 apply (zenon_L169_); trivial. % 1.05/1.29 exact (zenon_H4b zenon_H4c). % 1.05/1.29 (* end of lemma zenon_L223_ *) % 1.05/1.29 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp3)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H55 zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H20b zenon_H20a zenon_H209 zenon_H160 zenon_H5b zenon_H5a zenon_H59 zenon_H4b. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L141_); trivial. % 1.05/1.29 apply (zenon_L223_); trivial. % 1.05/1.29 (* end of lemma zenon_L224_ *) % 1.05/1.29 assert (zenon_L225_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H4d zenon_H54 zenon_H227 zenon_H59 zenon_H5a zenon_H5b zenon_H4b zenon_H160 zenon_H20b zenon_H20a zenon_H209 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.29 apply (zenon_L222_); trivial. % 1.05/1.29 apply (zenon_L224_); trivial. % 1.05/1.29 (* end of lemma zenon_L225_ *) % 1.05/1.29 assert (zenon_L226_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H145 zenon_H52 zenon_H54 zenon_H227 zenon_H4b zenon_H160 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L143_); trivial. % 1.05/1.29 apply (zenon_L225_); trivial. % 1.05/1.29 (* end of lemma zenon_L226_ *) % 1.05/1.29 assert (zenon_L227_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H148 zenon_H54 zenon_H227 zenon_H4b zenon_H160 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.05/1.29 apply (zenon_L221_); trivial. % 1.05/1.29 apply (zenon_L226_); trivial. % 1.05/1.29 (* end of lemma zenon_L227_ *) % 1.05/1.29 assert (zenon_L228_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H19f zenon_H136 zenon_H232 zenon_H1c1 zenon_H109 zenon_H230 zenon_H175 zenon_H174 zenon_H173 zenon_H1e3 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H53 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H160 zenon_H4b zenon_H227 zenon_H54 zenon_H148. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.29 apply (zenon_L227_); trivial. % 1.05/1.29 apply (zenon_L206_); trivial. % 1.05/1.29 (* end of lemma zenon_L228_ *) % 1.05/1.29 assert (zenon_L229_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_He2 zenon_H1 zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L202_); trivial. % 1.05/1.29 apply (zenon_L167_); trivial. % 1.05/1.29 (* end of lemma zenon_L229_ *) % 1.05/1.29 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H145 zenon_H54 zenon_H62 zenon_H3 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.29 apply (zenon_L222_); trivial. % 1.05/1.29 apply (zenon_L20_); trivial. % 1.05/1.29 (* end of lemma zenon_L230_ *) % 1.05/1.29 assert (zenon_L231_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H148 zenon_H54 zenon_H62 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_He2 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.05/1.29 apply (zenon_L229_); trivial. % 1.05/1.29 apply (zenon_L230_); trivial. % 1.05/1.29 (* end of lemma zenon_L231_ *) % 1.05/1.29 assert (zenon_L232_ : (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> False). % 1.05/1.29 do 0 intro. intros zenon_Hb3 zenon_H10 zenon_H11 zenon_H1b8 zenon_H1b9 zenon_H1ba. % 1.05/1.29 generalize (zenon_Hb3 (a363)). zenon_intro zenon_H275. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H275); [ zenon_intro zenon_Hf | zenon_intro zenon_H276 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H277 | zenon_intro zenon_H1bd ]. % 1.05/1.29 generalize (zenon_H11 (a363)). zenon_intro zenon_H278. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_Hf | zenon_intro zenon_H279 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ]. % 1.05/1.29 exact (zenon_H277 zenon_H27b). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1be | zenon_intro zenon_H1c0 ]. % 1.05/1.29 exact (zenon_H1b8 zenon_H1be). % 1.05/1.29 exact (zenon_H1c0 zenon_H1b9). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ]. % 1.05/1.29 exact (zenon_H1c0 zenon_H1b9). % 1.05/1.29 exact (zenon_H1bf zenon_H1ba). % 1.05/1.29 (* end of lemma zenon_L232_ *) % 1.05/1.29 assert (zenon_L233_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (~(c1_1 (a379))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a379)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H25 zenon_H10 zenon_H20 zenon_H1a2 zenon_H22. % 1.05/1.29 generalize (zenon_H25 (a379)). zenon_intro zenon_H28. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_Hf | zenon_intro zenon_H29 ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 1.05/1.29 exact (zenon_H20 zenon_H2b). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 1.05/1.29 generalize (zenon_H1a2 (a379)). zenon_intro zenon_H27c. % 1.05/1.29 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_Hf | zenon_intro zenon_H27d ]. % 1.05/1.29 exact (zenon_Hf zenon_H10). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H31 | zenon_intro zenon_H27e ]. % 1.05/1.29 exact (zenon_H2d zenon_H31). % 1.05/1.29 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H2b | zenon_intro zenon_H2c ]. % 1.05/1.29 exact (zenon_H20 zenon_H2b). % 1.05/1.29 exact (zenon_H2c zenon_H22). % 1.05/1.29 exact (zenon_H2c zenon_H22). % 1.05/1.29 (* end of lemma zenon_L233_ *) % 1.05/1.29 assert (zenon_L234_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (c2_1 (a379)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a379))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H1f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hb3 zenon_H22 zenon_H1a2 zenon_H20 zenon_H10 zenon_H1b. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.05/1.29 apply (zenon_L232_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.05/1.29 apply (zenon_L233_); trivial. % 1.05/1.29 exact (zenon_H1b zenon_H1c). % 1.05/1.29 (* end of lemma zenon_L234_ *) % 1.05/1.29 assert (zenon_L235_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp28)) -> (ndr1_0) -> (~(c1_1 (a379))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a379)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp2)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H21a zenon_H44 zenon_H43 zenon_H42 zenon_H1b zenon_H10 zenon_H20 zenon_H1a2 zenon_H22 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1f zenon_Hdb. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H41 | zenon_intro zenon_H21b ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hdc ]. % 1.05/1.29 apply (zenon_L234_); trivial. % 1.05/1.29 exact (zenon_Hdb zenon_Hdc). % 1.05/1.29 (* end of lemma zenon_L235_ *) % 1.05/1.29 assert (zenon_L236_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H13d zenon_H52 zenon_H173 zenon_H174 zenon_H175 zenon_H21a zenon_Hdb zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1f zenon_H232 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L145_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.05/1.29 apply (zenon_L88_); trivial. % 1.05/1.29 apply (zenon_L235_); trivial. % 1.05/1.29 apply (zenon_L144_); trivial. % 1.05/1.29 (* end of lemma zenon_L236_ *) % 1.05/1.29 assert (zenon_L237_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp15)) -> (~(hskp11)) -> ((hskp15)\/((hskp11)\/(hskp16))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H137 zenon_H52 zenon_H173 zenon_H174 zenon_H175 zenon_H21a zenon_Hdb zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1f zenon_H232 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53 zenon_H1 zenon_H3 zenon_H7. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.29 apply (zenon_L4_); trivial. % 1.05/1.29 apply (zenon_L236_); trivial. % 1.05/1.29 (* end of lemma zenon_L237_ *) % 1.05/1.29 assert (zenon_L238_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((hskp15)\/((hskp11)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H136 zenon_H7 zenon_H1e3 zenon_H232 zenon_H1f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H175 zenon_H174 zenon_H173 zenon_H137 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H62 zenon_H54 zenon_H148. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.29 apply (zenon_L231_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.05/1.29 apply (zenon_L237_); trivial. % 1.05/1.29 apply (zenon_L230_); trivial. % 1.05/1.29 (* end of lemma zenon_L238_ *) % 1.05/1.29 assert (zenon_L239_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H94 zenon_H52 zenon_H230 zenon_H109 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H5 zenon_H261 zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L212_); trivial. % 1.05/1.29 apply (zenon_L198_); trivial. % 1.05/1.29 (* end of lemma zenon_L239_ *) % 1.05/1.29 assert (zenon_L240_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H137 zenon_H87 zenon_H184 zenon_H182 zenon_H180 zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H109 zenon_H230 zenon_H52 zenon_H98. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.29 apply (zenon_L95_); trivial. % 1.05/1.29 apply (zenon_L239_); trivial. % 1.05/1.29 apply (zenon_L113_); trivial. % 1.05/1.29 (* end of lemma zenon_L240_ *) % 1.05/1.29 assert (zenon_L241_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H19f zenon_H19e zenon_H207 zenon_H205 zenon_H98 zenon_H52 zenon_H230 zenon_H109 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H261 zenon_H53 zenon_H6a zenon_H68 zenon_H180 zenon_H184 zenon_H87 zenon_H137. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.29 apply (zenon_L240_); trivial. % 1.05/1.29 apply (zenon_L140_); trivial. % 1.05/1.29 (* end of lemma zenon_L241_ *) % 1.05/1.29 assert (zenon_L242_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((hskp15)\/((hskp11)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H19d zenon_H19e zenon_H207 zenon_H205 zenon_H98 zenon_H230 zenon_H109 zenon_H1c1 zenon_H261 zenon_H6a zenon_H180 zenon_H184 zenon_H87 zenon_H148 zenon_H54 zenon_H62 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273 zenon_H53 zenon_H3e zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52 zenon_H137 zenon_H173 zenon_H174 zenon_H175 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1f zenon_H232 zenon_H1e3 zenon_H7 zenon_H136. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.29 apply (zenon_L238_); trivial. % 1.05/1.29 apply (zenon_L241_); trivial. % 1.05/1.29 (* end of lemma zenon_L242_ *) % 1.05/1.29 assert (zenon_L243_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp3)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp2)) -> False). % 1.05/1.29 do 0 intro. intros zenon_H4d zenon_H227 zenon_H20b zenon_H20a zenon_H209 zenon_H21a zenon_H4b zenon_H59 zenon_H5a zenon_H5b zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H160 zenon_Hdb. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.05/1.29 apply (zenon_L141_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H41 | zenon_intro zenon_H21b ]. % 1.05/1.29 apply (zenon_L15_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hdc ]. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.05/1.29 apply (zenon_L232_); trivial. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.05/1.29 apply (zenon_L169_); trivial. % 1.05/1.29 exact (zenon_H4b zenon_H4c). % 1.05/1.29 exact (zenon_Hdb zenon_Hdc). % 1.05/1.29 (* end of lemma zenon_L243_ *) % 1.05/1.29 assert (zenon_L244_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H148 zenon_H227 zenon_H160 zenon_H4b zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.05/1.29 apply (zenon_L221_); trivial. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L143_); trivial. % 1.05/1.29 apply (zenon_L243_); trivial. % 1.05/1.29 (* end of lemma zenon_L244_ *) % 1.05/1.29 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.29 do 0 intro. intros zenon_H145 zenon_H52 zenon_H227 zenon_H160 zenon_H4b zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hdb zenon_H21a zenon_H20b zenon_H20a zenon_H209 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.05/1.29 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.05/1.29 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.29 apply (zenon_L202_); trivial. % 1.05/1.29 apply (zenon_L243_); trivial. % 1.05/1.29 (* end of lemma zenon_L245_ *) % 1.05/1.29 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((hskp15)\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H13a zenon_H148 zenon_H227 zenon_H160 zenon_H4b zenon_H20b zenon_H20a zenon_H209 zenon_H3e zenon_H7 zenon_H3 zenon_H53 zenon_H1e3 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H232 zenon_H1f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hdb zenon_H21a zenon_H175 zenon_H174 zenon_H173 zenon_H52 zenon_H137. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.05/1.30 apply (zenon_L237_); trivial. % 1.05/1.30 apply (zenon_L245_); trivial. % 1.05/1.30 (* end of lemma zenon_L246_ *) % 1.05/1.30 assert (zenon_L247_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H136 zenon_H230 zenon_H109 zenon_H1c1 zenon_H1e3 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H53 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H4b zenon_H160 zenon_H227 zenon_H148. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.30 apply (zenon_L244_); trivial. % 1.05/1.30 apply (zenon_L199_); trivial. % 1.05/1.30 (* end of lemma zenon_L247_ *) % 1.05/1.30 assert (zenon_L248_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((hskp15)\/((hskp11)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H214 zenon_H19d zenon_H230 zenon_H109 zenon_H1c1 zenon_H148 zenon_H227 zenon_H160 zenon_H4b zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H53 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52 zenon_H137 zenon_H173 zenon_H174 zenon_H175 zenon_H1f zenon_H232 zenon_H1e3 zenon_H7 zenon_H3e zenon_H136. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.30 apply (zenon_L244_); trivial. % 1.05/1.30 apply (zenon_L246_); trivial. % 1.05/1.30 apply (zenon_L247_); trivial. % 1.05/1.30 (* end of lemma zenon_L248_ *) % 1.05/1.30 assert (zenon_L249_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.05/1.30 do 0 intro. intros zenon_He6 zenon_H10 zenon_H27f zenon_H78 zenon_H280 zenon_H281. % 1.05/1.30 generalize (zenon_He6 (a357)). zenon_intro zenon_H282. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_Hf | zenon_intro zenon_H283 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 1.05/1.30 exact (zenon_H27f zenon_H285). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H287 | zenon_intro zenon_H286 ]. % 1.05/1.30 generalize (zenon_H78 (a357)). zenon_intro zenon_H288. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H288); [ zenon_intro zenon_Hf | zenon_intro zenon_H289 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H285 | zenon_intro zenon_H28a ]. % 1.05/1.30 exact (zenon_H27f zenon_H285). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H28c | zenon_intro zenon_H28b ]. % 1.05/1.30 exact (zenon_H287 zenon_H28c). % 1.05/1.30 exact (zenon_H28b zenon_H280). % 1.05/1.30 exact (zenon_H286 zenon_H281). % 1.05/1.30 (* end of lemma zenon_L249_ *) % 1.05/1.30 assert (zenon_L250_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp4)) -> False). % 1.05/1.30 do 0 intro. intros zenon_Hf1 zenon_H281 zenon_H280 zenon_H78 zenon_H27f zenon_H10 zenon_H64 zenon_Hb. % 1.05/1.30 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf4 ]. % 1.05/1.30 apply (zenon_L249_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc ]. % 1.05/1.30 exact (zenon_H64 zenon_H65). % 1.05/1.30 exact (zenon_Hb zenon_Hc). % 1.05/1.30 (* end of lemma zenon_L250_ *) % 1.05/1.30 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp21)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H55 zenon_H82 zenon_H64 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_Hb. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.05/1.30 apply (zenon_L250_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.05/1.30 apply (zenon_L9_); trivial. % 1.05/1.30 exact (zenon_Hb zenon_Hc). % 1.05/1.30 (* end of lemma zenon_L251_ *) % 1.05/1.30 assert (zenon_L252_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp21)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_H64 zenon_Hf1 zenon_H3 zenon_Hb zenon_Hd. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.30 apply (zenon_L7_); trivial. % 1.05/1.30 apply (zenon_L251_); trivial. % 1.05/1.30 (* end of lemma zenon_L252_ *) % 1.05/1.30 assert (zenon_L253_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H87 zenon_H184 zenon_H182 zenon_H180 zenon_Hd zenon_Hb zenon_H3 zenon_Hf1 zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.30 apply (zenon_L252_); trivial. % 1.05/1.30 apply (zenon_L94_); trivial. % 1.05/1.30 (* end of lemma zenon_L253_ *) % 1.05/1.30 assert (zenon_L254_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp8)\/(hskp11))) -> (c3_1 (a375)) -> (~(c1_1 (a375))) -> (~(c0_1 (a375))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp11)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H28d zenon_H187 zenon_H193 zenon_H186 zenon_H10 zenon_H1b3 zenon_H3. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H192 | zenon_intro zenon_H28e ]. % 1.05/1.30 apply (zenon_L100_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H4 ]. % 1.05/1.30 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.30 exact (zenon_H3 zenon_H4). % 1.05/1.30 (* end of lemma zenon_L254_ *) % 1.05/1.30 assert (zenon_L255_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(hskp11)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19a zenon_H28d zenon_H1b3 zenon_H3. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.30 apply (zenon_L254_); trivial. % 1.05/1.30 (* end of lemma zenon_L255_ *) % 1.05/1.30 assert (zenon_L256_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19e zenon_H28d zenon_H1b3 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_H3 zenon_Hb zenon_Hd zenon_H180 zenon_H184 zenon_H87. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L253_); trivial. % 1.05/1.30 apply (zenon_L255_); trivial. % 1.05/1.30 (* end of lemma zenon_L256_ *) % 1.05/1.30 assert (zenon_L257_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H87 zenon_H76 zenon_H1d zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.30 apply (zenon_L27_); trivial. % 1.05/1.30 apply (zenon_L251_); trivial. % 1.05/1.30 apply (zenon_L30_); trivial. % 1.05/1.30 (* end of lemma zenon_L257_ *) % 1.05/1.30 assert (zenon_L258_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H76 zenon_H87. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_L257_); trivial. % 1.05/1.30 apply (zenon_L38_); trivial. % 1.05/1.30 (* end of lemma zenon_L258_ *) % 1.05/1.30 assert (zenon_L259_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp4)) -> (~(hskp21)) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H28f zenon_Hb zenon_H64 zenon_H186 zenon_H187 zenon_Hf1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10 zenon_H99. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H88 | zenon_intro zenon_H290 ]. % 1.05/1.30 apply (zenon_L98_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H9a ]. % 1.05/1.30 apply (zenon_L112_); trivial. % 1.05/1.30 exact (zenon_H99 zenon_H9a). % 1.05/1.30 (* end of lemma zenon_L259_ *) % 1.05/1.30 assert (zenon_L260_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp11)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19a zenon_H87 zenon_H54 zenon_H82 zenon_H3 zenon_Hd zenon_Hf1 zenon_Hb zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H99 zenon_H28f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.30 apply (zenon_L259_); trivial. % 1.05/1.30 apply (zenon_L86_); trivial. % 1.05/1.30 (* end of lemma zenon_L260_ *) % 1.05/1.30 assert (zenon_L261_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19e zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H99 zenon_H28f zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_H3 zenon_Hb zenon_Hd zenon_H180 zenon_H184 zenon_H87. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L253_); trivial. % 1.05/1.30 apply (zenon_L260_); trivial. % 1.05/1.30 (* end of lemma zenon_L261_ *) % 1.05/1.30 assert (zenon_L262_ : (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (c1_1 (a357)) -> (c2_1 (a357)) -> (c3_1 (a357)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H33 zenon_H10 zenon_H280 zenon_H28c zenon_H281. % 1.05/1.30 generalize (zenon_H33 (a357)). zenon_intro zenon_H291. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_Hf | zenon_intro zenon_H292 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H28b | zenon_intro zenon_H284 ]. % 1.05/1.30 exact (zenon_H28b zenon_H280). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H287 | zenon_intro zenon_H286 ]. % 1.05/1.30 exact (zenon_H287 zenon_H28c). % 1.05/1.30 exact (zenon_H286 zenon_H281). % 1.05/1.30 (* end of lemma zenon_L262_ *) % 1.05/1.30 assert (zenon_L263_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H78 zenon_H10 zenon_H27f zenon_H33 zenon_H280 zenon_H281. % 1.05/1.30 generalize (zenon_H78 (a357)). zenon_intro zenon_H288. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H288); [ zenon_intro zenon_Hf | zenon_intro zenon_H289 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H285 | zenon_intro zenon_H28a ]. % 1.05/1.30 exact (zenon_H27f zenon_H285). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H28c | zenon_intro zenon_H28b ]. % 1.05/1.30 apply (zenon_L262_); trivial. % 1.05/1.30 exact (zenon_H28b zenon_H280). % 1.05/1.30 (* end of lemma zenon_L263_ *) % 1.05/1.30 assert (zenon_L264_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (~(hskp16)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H78 zenon_H5. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.05/1.30 apply (zenon_L249_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.05/1.30 apply (zenon_L263_); trivial. % 1.05/1.30 exact (zenon_H5 zenon_H6). % 1.05/1.30 (* end of lemma zenon_L264_ *) % 1.05/1.30 assert (zenon_L265_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp1)) -> (~(hskp14)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H184 zenon_H5 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H180 zenon_H182. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H78 | zenon_intro zenon_H185 ]. % 1.05/1.30 apply (zenon_L264_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H181 | zenon_intro zenon_H183 ]. % 1.05/1.30 exact (zenon_H180 zenon_H181). % 1.05/1.30 exact (zenon_H182 zenon_H183). % 1.05/1.30 (* end of lemma zenon_L265_ *) % 1.05/1.30 assert (zenon_L266_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H180 zenon_H182 zenon_H184. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.30 apply (zenon_L265_); trivial. % 1.05/1.30 apply (zenon_L113_); trivial. % 1.05/1.30 (* end of lemma zenon_L266_ *) % 1.05/1.30 assert (zenon_L267_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a375)) -> (~(c0_1 (a375))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_Hf1 zenon_Hb zenon_H187 zenon_H186 zenon_H10 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H99 zenon_H28f. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.30 apply (zenon_L259_); trivial. % 1.05/1.30 apply (zenon_L30_); trivial. % 1.05/1.30 (* end of lemma zenon_L267_ *) % 1.05/1.30 assert (zenon_L268_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19a zenon_H52 zenon_H9b zenon_H68 zenon_H28f zenon_H99 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hb zenon_Hf1 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H82 zenon_H54 zenon_H87. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_L267_); trivial. % 1.05/1.30 apply (zenon_L38_); trivial. % 1.05/1.30 (* end of lemma zenon_L268_ *) % 1.05/1.30 assert (zenon_L269_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H19e zenon_H52 zenon_H9b zenon_H68 zenon_H28f zenon_H99 zenon_Hb zenon_Hf1 zenon_H76 zenon_H82 zenon_H54 zenon_H87 zenon_H184 zenon_H180 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H137. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L266_); trivial. % 1.05/1.30 apply (zenon_L268_); trivial. % 1.05/1.30 (* end of lemma zenon_L269_ *) % 1.05/1.30 assert (zenon_L270_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp8)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H1c6 zenon_H293 zenon_H1c1 zenon_H137 zenon_H28f zenon_H19e zenon_H28d zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_Hb zenon_Hd zenon_H180 zenon_H184 zenon_H87 zenon_H76 zenon_H99 zenon_H68 zenon_H9b zenon_H52 zenon_H19d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.30 apply (zenon_L256_); trivial. % 1.05/1.30 apply (zenon_L258_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.30 apply (zenon_L261_); trivial. % 1.05/1.30 apply (zenon_L269_); trivial. % 1.05/1.30 (* end of lemma zenon_L270_ *) % 1.05/1.30 assert (zenon_L271_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H87 zenon_Hd zenon_Hb zenon_H3 zenon_Hf1 zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.30 apply (zenon_L252_); trivial. % 1.05/1.30 apply (zenon_L86_); trivial. % 1.05/1.30 (* end of lemma zenon_L271_ *) % 1.05/1.30 assert (zenon_L272_ : (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H120 zenon_H10 zenon_H27f zenon_H280 zenon_H281. % 1.05/1.30 generalize (zenon_H120 (a357)). zenon_intro zenon_H294. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H294); [ zenon_intro zenon_Hf | zenon_intro zenon_H295 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H285 | zenon_intro zenon_H296 ]. % 1.05/1.30 exact (zenon_H27f zenon_H285). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H28b | zenon_intro zenon_H286 ]. % 1.05/1.30 exact (zenon_H28b zenon_H280). % 1.05/1.30 exact (zenon_H286 zenon_H281). % 1.05/1.30 (* end of lemma zenon_L272_ *) % 1.05/1.30 assert (zenon_L273_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H155 zenon_H281 zenon_H280 zenon_H27f zenon_H14c zenon_H14b zenon_H14a zenon_H10 zenon_H153. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.05/1.30 apply (zenon_L272_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.05/1.30 apply (zenon_L76_); trivial. % 1.05/1.30 exact (zenon_H153 zenon_H154). % 1.05/1.30 (* end of lemma zenon_L273_ *) % 1.05/1.30 assert (zenon_L274_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (~(c0_1 (a357))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H297 zenon_H281 zenon_H280 zenon_H78 zenon_H27f zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_H205. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_He6 | zenon_intro zenon_H298 ]. % 1.05/1.30 apply (zenon_L249_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H162 | zenon_intro zenon_H206 ]. % 1.05/1.30 apply (zenon_L81_); trivial. % 1.05/1.30 exact (zenon_H205 zenon_H206). % 1.05/1.30 (* end of lemma zenon_L274_ *) % 1.05/1.30 assert (zenon_L275_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H171 zenon_H184 zenon_H182 zenon_H180 zenon_H205 zenon_H297 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.05/1.30 apply (zenon_L273_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H78 | zenon_intro zenon_H185 ]. % 1.05/1.30 apply (zenon_L274_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H181 | zenon_intro zenon_H183 ]. % 1.05/1.30 exact (zenon_H180 zenon_H181). % 1.05/1.30 exact (zenon_H182 zenon_H183). % 1.05/1.30 (* end of lemma zenon_L275_ *) % 1.05/1.30 assert (zenon_L276_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19a zenon_H52 zenon_H198 zenon_H109 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H87. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_L257_); trivial. % 1.05/1.30 apply (zenon_L101_); trivial. % 1.05/1.30 (* end of lemma zenon_L276_ *) % 1.05/1.30 assert (zenon_L277_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(hskp12)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H16e zenon_H16c zenon_H20b zenon_H20a zenon_H209 zenon_H9f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.05/1.30 apply (zenon_L141_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.05/1.30 apply (zenon_L81_); trivial. % 1.05/1.30 exact (zenon_H9f zenon_Ha0). % 1.05/1.30 (* end of lemma zenon_L277_ *) % 1.05/1.30 assert (zenon_L278_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H171 zenon_H16c zenon_H9f zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.05/1.30 apply (zenon_L273_); trivial. % 1.05/1.30 apply (zenon_L277_); trivial. % 1.05/1.30 (* end of lemma zenon_L278_ *) % 1.05/1.30 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H135 zenon_H52 zenon_H227 zenon_H20b zenon_H20a zenon_H209 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H87. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_L257_); trivial. % 1.05/1.30 apply (zenon_L207_); trivial. % 1.05/1.30 (* end of lemma zenon_L279_ *) % 1.05/1.30 assert (zenon_L280_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H140 zenon_H52 zenon_H227 zenon_H54 zenon_H82 zenon_Hb zenon_Hf1 zenon_H76 zenon_H87 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H209 zenon_H20a zenon_H20b zenon_H16c zenon_H171. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.05/1.30 apply (zenon_L278_); trivial. % 1.05/1.30 apply (zenon_L279_); trivial. % 1.05/1.30 (* end of lemma zenon_L280_ *) % 1.05/1.30 assert (zenon_L281_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H214 zenon_H19d zenon_H140 zenon_H52 zenon_H227 zenon_H76 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H16c zenon_H171 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_Hb zenon_Hd zenon_H87. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.30 apply (zenon_L271_); trivial. % 1.05/1.30 apply (zenon_L280_); trivial. % 1.05/1.30 (* end of lemma zenon_L281_ *) % 1.05/1.30 assert (zenon_L282_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_H54 zenon_H82 zenon_Hb zenon_Hf1 zenon_H76 zenon_H87 zenon_H184 zenon_H180 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H137. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L266_); trivial. % 1.05/1.30 apply (zenon_L276_); trivial. % 1.05/1.30 (* end of lemma zenon_L282_ *) % 1.05/1.30 assert (zenon_L283_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_H76 zenon_H184 zenon_H180 zenon_H293 zenon_H1c1 zenon_H137 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_Hb zenon_Hd zenon_H87. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.30 apply (zenon_L271_); trivial. % 1.05/1.30 apply (zenon_L282_); trivial. % 1.05/1.30 (* end of lemma zenon_L283_ *) % 1.05/1.30 assert (zenon_L284_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.05/1.30 do 0 intro. intros zenon_He6 zenon_H10 zenon_H27f zenon_Hd1 zenon_H280 zenon_H281. % 1.05/1.30 generalize (zenon_He6 (a357)). zenon_intro zenon_H282. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_Hf | zenon_intro zenon_H283 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 1.05/1.30 exact (zenon_H27f zenon_H285). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H287 | zenon_intro zenon_H286 ]. % 1.05/1.30 generalize (zenon_Hd1 (a357)). zenon_intro zenon_H299. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_Hf | zenon_intro zenon_H29a ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H28c | zenon_intro zenon_H296 ]. % 1.05/1.30 exact (zenon_H287 zenon_H28c). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H28b | zenon_intro zenon_H286 ]. % 1.05/1.30 exact (zenon_H28b zenon_H280). % 1.05/1.30 exact (zenon_H286 zenon_H281). % 1.05/1.30 exact (zenon_H286 zenon_H281). % 1.05/1.30 (* end of lemma zenon_L284_ *) % 1.05/1.30 assert (zenon_L285_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(c0_1 (a357))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H297 zenon_H281 zenon_H280 zenon_Hd1 zenon_H27f zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_H205. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_He6 | zenon_intro zenon_H298 ]. % 1.05/1.30 apply (zenon_L284_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H162 | zenon_intro zenon_H206 ]. % 1.05/1.30 apply (zenon_L81_); trivial. % 1.05/1.30 exact (zenon_H205 zenon_H206). % 1.05/1.30 (* end of lemma zenon_L285_ *) % 1.05/1.30 assert (zenon_L286_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H171 zenon_H1cc zenon_H205 zenon_H297 zenon_H175 zenon_H174 zenon_H173 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.05/1.30 apply (zenon_L273_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.05/1.30 apply (zenon_L88_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.05/1.30 apply (zenon_L76_); trivial. % 1.05/1.30 apply (zenon_L285_); trivial. % 1.05/1.30 (* end of lemma zenon_L286_ *) % 1.05/1.30 assert (zenon_L287_ : ((ndr1_0)/\((~(c1_1 (a360)))/\((~(c2_1 (a360)))/\(~(c3_1 (a360)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H29b zenon_H217 zenon_H19d zenon_H140 zenon_H52 zenon_H227 zenon_H76 zenon_H16c zenon_H54 zenon_H82 zenon_Hf1 zenon_Hb zenon_Hd zenon_H87 zenon_H155 zenon_H281 zenon_H280 zenon_H27f zenon_H173 zenon_H174 zenon_H175 zenon_H297 zenon_H1cc zenon_H171. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.05/1.30 apply (zenon_L286_); trivial. % 1.05/1.30 apply (zenon_L281_); trivial. % 1.05/1.30 (* end of lemma zenon_L287_ *) % 1.05/1.30 assert (zenon_L288_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_L202_); trivial. % 1.05/1.30 apply (zenon_L38_); trivial. % 1.05/1.30 (* end of lemma zenon_L288_ *) % 1.05/1.30 assert (zenon_L289_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (~(c0_1 (a357))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H293 zenon_H281 zenon_H280 zenon_H78 zenon_H27f zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_H5. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.05/1.30 apply (zenon_L249_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.05/1.30 apply (zenon_L13_); trivial. % 1.05/1.30 exact (zenon_H5 zenon_H6). % 1.05/1.30 (* end of lemma zenon_L289_ *) % 1.05/1.30 assert (zenon_L290_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H88 zenon_H10 zenon_H27f zenon_H33 zenon_H280 zenon_H281. % 1.05/1.30 generalize (zenon_H88 (a357)). zenon_intro zenon_H29e. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_Hf | zenon_intro zenon_H29f ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H285 | zenon_intro zenon_H2a0 ]. % 1.05/1.30 exact (zenon_H27f zenon_H285). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H28c | zenon_intro zenon_H286 ]. % 1.05/1.30 apply (zenon_L262_); trivial. % 1.05/1.30 exact (zenon_H286 zenon_H281). % 1.05/1.30 (* end of lemma zenon_L290_ *) % 1.05/1.30 assert (zenon_L291_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (~(hskp16)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H293 zenon_Hd1 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H88 zenon_H5. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.05/1.30 apply (zenon_L284_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.05/1.30 apply (zenon_L290_); trivial. % 1.05/1.30 exact (zenon_H5 zenon_H6). % 1.05/1.30 (* end of lemma zenon_L291_ *) % 1.05/1.30 assert (zenon_L292_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_Hd1 zenon_H293 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_H5. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H88 | zenon_intro zenon_H262 ]. % 1.05/1.30 apply (zenon_L291_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.05/1.30 apply (zenon_L13_); trivial. % 1.05/1.30 exact (zenon_H5 zenon_H6). % 1.05/1.30 (* end of lemma zenon_L292_ *) % 1.05/1.30 assert (zenon_L293_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H2a1 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_H5. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.05/1.30 apply (zenon_L289_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.05/1.30 apply (zenon_L174_); trivial. % 1.05/1.30 apply (zenon_L292_); trivial. % 1.05/1.30 (* end of lemma zenon_L293_ *) % 1.05/1.30 assert (zenon_L294_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp8)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H3d zenon_H1b5 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H2a1 zenon_H5 zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H261 zenon_H1b3. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.05/1.30 apply (zenon_L293_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.05/1.30 apply (zenon_L292_); trivial. % 1.05/1.30 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.30 (* end of lemma zenon_L294_ *) % 1.05/1.30 assert (zenon_L295_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H53 zenon_H1b5 zenon_H1b3 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H261 zenon_H2a1 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.30 apply (zenon_L126_); trivial. % 1.05/1.30 apply (zenon_L294_); trivial. % 1.05/1.30 (* end of lemma zenon_L295_ *) % 1.05/1.30 assert (zenon_L296_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H13d zenon_H1b1 zenon_H1b3 zenon_H27f zenon_H280 zenon_H281 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1b5 zenon_H68. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.05/1.30 apply (zenon_L218_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.05/1.30 apply (zenon_L218_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.05/1.30 apply (zenon_L284_); trivial. % 1.05/1.30 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.30 exact (zenon_H68 zenon_H69). % 1.05/1.30 (* end of lemma zenon_L296_ *) % 1.05/1.30 assert (zenon_L297_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19d zenon_H137 zenon_H1b1 zenon_H1b5 zenon_H1b3 zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H1c1 zenon_H261 zenon_H2a1 zenon_H53 zenon_H3e zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H99 zenon_H68 zenon_H9b zenon_H52. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.30 apply (zenon_L288_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_L295_); trivial. % 1.05/1.30 apply (zenon_L38_); trivial. % 1.05/1.30 apply (zenon_L296_); trivial. % 1.05/1.30 (* end of lemma zenon_L297_ *) % 1.05/1.30 assert (zenon_L298_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp5)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H94 zenon_H28f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H99. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H88 | zenon_intro zenon_H290 ]. % 1.05/1.30 apply (zenon_L33_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H9a ]. % 1.05/1.30 apply (zenon_L112_); trivial. % 1.05/1.30 exact (zenon_H99 zenon_H9a). % 1.05/1.30 (* end of lemma zenon_L298_ *) % 1.05/1.30 assert (zenon_L299_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H98 zenon_H28f zenon_H99 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6a zenon_H68 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.30 apply (zenon_L95_); trivial. % 1.05/1.30 apply (zenon_L298_); trivial. % 1.05/1.30 (* end of lemma zenon_L299_ *) % 1.05/1.30 assert (zenon_L300_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H1c3 zenon_H217 zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H23 zenon_H9b zenon_H52 zenon_H98 zenon_H28f zenon_H99 zenon_H6a zenon_H68 zenon_H180 zenon_H184 zenon_H87 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H207 zenon_H19e. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L299_); trivial. % 1.05/1.30 apply (zenon_L140_); trivial. % 1.05/1.30 apply (zenon_L147_); trivial. % 1.05/1.30 (* end of lemma zenon_L300_ *) % 1.05/1.30 assert (zenon_L301_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H1c6 zenon_H217 zenon_H136 zenon_H1e3 zenon_H212 zenon_H98 zenon_H28f zenon_H6a zenon_H180 zenon_H184 zenon_H87 zenon_H207 zenon_H19e zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3e zenon_H53 zenon_H2a1 zenon_H261 zenon_H1c1 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1b5 zenon_H1b1 zenon_H137 zenon_H19d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.05/1.30 apply (zenon_L297_); trivial. % 1.05/1.30 apply (zenon_L300_); trivial. % 1.05/1.30 (* end of lemma zenon_L301_ *) % 1.05/1.30 assert (zenon_L302_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H214 zenon_H140 zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H52 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H16c zenon_H171. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.05/1.30 apply (zenon_L278_); trivial. % 1.05/1.30 apply (zenon_L209_); trivial. % 1.05/1.30 (* end of lemma zenon_L302_ *) % 1.05/1.30 assert (zenon_L303_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H88 zenon_H10 zenon_H79 zenon_H7a zenon_H157. % 1.05/1.30 generalize (zenon_H88 (a395)). zenon_intro zenon_H2a3. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a4 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H7f | zenon_intro zenon_H2a5 ]. % 1.05/1.30 exact (zenon_H79 zenon_H7f). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H81 | zenon_intro zenon_H2a6 ]. % 1.05/1.30 exact (zenon_H7a zenon_H81). % 1.05/1.30 generalize (zenon_H157 (a395)). zenon_intro zenon_H2a7. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a8 ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H7f | zenon_intro zenon_H2a9 ]. % 1.05/1.30 exact (zenon_H79 zenon_H7f). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H81 | zenon_intro zenon_H2aa ]. % 1.05/1.30 exact (zenon_H7a zenon_H81). % 1.05/1.30 exact (zenon_H2a6 zenon_H2aa). % 1.05/1.30 (* end of lemma zenon_L303_ *) % 1.05/1.30 assert (zenon_L304_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (~(hskp13)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H212 zenon_H7a zenon_H79 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H88 zenon_He2. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.05/1.30 apply (zenon_L303_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.05/1.30 apply (zenon_L290_); trivial. % 1.05/1.30 exact (zenon_He2 zenon_He3). % 1.05/1.30 (* end of lemma zenon_L304_ *) % 1.05/1.30 assert (zenon_L305_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H98 zenon_H6a zenon_H68 zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_He2 zenon_H281 zenon_H280 zenon_H27f zenon_H17c zenon_H17e zenon_H87. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.05/1.30 apply (zenon_L25_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.05/1.30 apply (zenon_L88_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.05/1.30 apply (zenon_L304_); trivial. % 1.05/1.30 exact (zenon_H17c zenon_H17d). % 1.05/1.30 apply (zenon_L90_); trivial. % 1.05/1.30 (* end of lemma zenon_L305_ *) % 1.05/1.30 assert (zenon_L306_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H78 zenon_H10 zenon_H27f zenon_H280 zenon_H281. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.05/1.30 apply (zenon_L125_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.05/1.30 apply (zenon_L59_); trivial. % 1.05/1.30 apply (zenon_L263_); trivial. % 1.05/1.30 (* end of lemma zenon_L306_ *) % 1.05/1.30 assert (zenon_L307_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(hskp1)) -> (~(hskp14)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H184 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H180 zenon_H182. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H78 | zenon_intro zenon_H185 ]. % 1.05/1.30 apply (zenon_L306_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H181 | zenon_intro zenon_H183 ]. % 1.05/1.30 exact (zenon_H180 zenon_H181). % 1.05/1.30 exact (zenon_H182 zenon_H183). % 1.05/1.30 (* end of lemma zenon_L307_ *) % 1.05/1.30 assert (zenon_L308_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19a zenon_H52 zenon_H198 zenon_H109 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_L145_); trivial. % 1.05/1.30 apply (zenon_L101_); trivial. % 1.05/1.30 (* end of lemma zenon_L308_ *) % 1.05/1.30 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H13a zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_H23 zenon_H53 zenon_H1e3 zenon_H281 zenon_H280 zenon_H27f zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H180 zenon_H184. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L307_); trivial. % 1.05/1.30 apply (zenon_L308_); trivial. % 1.05/1.30 (* end of lemma zenon_L309_ *) % 1.05/1.30 assert (zenon_L310_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H136 zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_H23 zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H180 zenon_H184 zenon_H87 zenon_H17e zenon_H17c zenon_H27f zenon_H280 zenon_H281 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H68 zenon_H6a zenon_H98. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.30 apply (zenon_L305_); trivial. % 1.05/1.30 apply (zenon_L309_); trivial. % 1.05/1.30 (* end of lemma zenon_L310_ *) % 1.05/1.30 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H13a zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H1aa zenon_H1a9 zenon_H1a8. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.05/1.30 apply (zenon_L272_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.05/1.30 apply (zenon_L106_); trivial. % 1.05/1.30 apply (zenon_L59_); trivial. % 1.05/1.30 (* end of lemma zenon_L311_ *) % 1.05/1.30 assert (zenon_L312_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H136 zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H62 zenon_H54 zenon_H148. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.30 apply (zenon_L231_); trivial. % 1.05/1.30 apply (zenon_L311_); trivial. % 1.05/1.30 (* end of lemma zenon_L312_ *) % 1.05/1.30 assert (zenon_L313_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H137 zenon_H1b1 zenon_H68 zenon_H1b3 zenon_H1b5 zenon_H6d zenon_H6e zenon_H6f zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H180 zenon_H182 zenon_H184. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.05/1.30 apply (zenon_L265_); trivial. % 1.05/1.30 apply (zenon_L296_); trivial. % 1.05/1.30 (* end of lemma zenon_L313_ *) % 1.05/1.30 assert (zenon_L314_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H19e zenon_H207 zenon_H205 zenon_H184 zenon_H180 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1c1 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H1b5 zenon_H1b3 zenon_H68 zenon_H1b1 zenon_H137. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L313_); trivial. % 1.05/1.30 apply (zenon_L140_); trivial. % 1.05/1.30 (* end of lemma zenon_L314_ *) % 1.05/1.30 assert (zenon_L315_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19d zenon_H19e zenon_H207 zenon_H205 zenon_H184 zenon_H180 zenon_H293 zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H137 zenon_H148 zenon_H54 zenon_H62 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273 zenon_H53 zenon_H3e zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52 zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H136. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.05/1.30 apply (zenon_L312_); trivial. % 1.05/1.30 apply (zenon_L314_); trivial. % 1.05/1.30 (* end of lemma zenon_L315_ *) % 1.05/1.30 assert (zenon_L316_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H136 zenon_H1e3 zenon_H137 zenon_H1b1 zenon_H68 zenon_H1b3 zenon_H1b5 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H180 zenon_H184 zenon_H53 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H23 zenon_H109 zenon_H198 zenon_H52 zenon_H19e. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L313_); trivial. % 1.05/1.30 apply (zenon_L205_); trivial. % 1.05/1.30 apply (zenon_L309_); trivial. % 1.05/1.30 (* end of lemma zenon_L316_ *) % 1.05/1.30 assert (zenon_L317_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H19f zenon_H136 zenon_H1e3 zenon_H137 zenon_H87 zenon_H184 zenon_H180 zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H109 zenon_H230 zenon_H52 zenon_H98 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H198 zenon_H19e. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.05/1.30 apply (zenon_L240_); trivial. % 1.05/1.30 apply (zenon_L205_); trivial. % 1.05/1.30 apply (zenon_L199_); trivial. % 1.05/1.30 (* end of lemma zenon_L317_ *) % 1.05/1.30 assert (zenon_L318_ : ((ndr1_0)/\((~(c1_1 (a360)))/\((~(c2_1 (a360)))/\(~(c3_1 (a360)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H29b zenon_H217 zenon_H140 zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H52 zenon_H16c zenon_H155 zenon_H281 zenon_H280 zenon_H27f zenon_H173 zenon_H174 zenon_H175 zenon_H297 zenon_H1cc zenon_H171. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.05/1.30 apply (zenon_L286_); trivial. % 1.05/1.30 apply (zenon_L302_); trivial. % 1.05/1.30 (* end of lemma zenon_L318_ *) % 1.05/1.30 assert (zenon_L319_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H25 zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad. % 1.05/1.30 generalize (zenon_H25 (a356)). zenon_intro zenon_H2ae. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_Hf | zenon_intro zenon_H2af ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H2b0 ]. % 1.05/1.30 exact (zenon_H2ab zenon_H2b1). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b2 ]. % 1.05/1.30 exact (zenon_H2b3 zenon_H2ac). % 1.05/1.30 exact (zenon_H2b2 zenon_H2ad). % 1.05/1.30 (* end of lemma zenon_L319_ *) % 1.05/1.30 assert (zenon_L320_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H1f zenon_H14 zenon_H13 zenon_H12 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.05/1.30 apply (zenon_L9_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.05/1.30 apply (zenon_L319_); trivial. % 1.05/1.30 exact (zenon_H1b zenon_H1c). % 1.05/1.30 (* end of lemma zenon_L320_ *) % 1.05/1.30 assert (zenon_L321_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H55 zenon_H53 zenon_H3e zenon_H3 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.30 apply (zenon_L320_); trivial. % 1.05/1.30 apply (zenon_L14_); trivial. % 1.05/1.30 (* end of lemma zenon_L321_ *) % 1.05/1.30 assert (zenon_L322_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H54 zenon_H53 zenon_H3e zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H3 zenon_Hb zenon_Hd. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.30 apply (zenon_L7_); trivial. % 1.05/1.30 apply (zenon_L321_); trivial. % 1.05/1.30 (* end of lemma zenon_L322_ *) % 1.05/1.30 assert (zenon_L323_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp8)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H2b4 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H9f zenon_H1b3. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H25 | zenon_intro zenon_H2b5 ]. % 1.05/1.30 apply (zenon_L319_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1b4 ]. % 1.05/1.30 exact (zenon_H9f zenon_Ha0). % 1.05/1.30 exact (zenon_H1b3 zenon_H1b4). % 1.05/1.30 (* end of lemma zenon_L323_ *) % 1.05/1.30 assert (zenon_L324_ : ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c2_1 (a365)) -> (c3_1 (a365)) -> (c1_1 (a365)) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H10c zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H35 zenon_H36 zenon_H34 zenon_H120 zenon_H10 zenon_H5. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.05/1.30 apply (zenon_L59_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.05/1.30 apply (zenon_L65_); trivial. % 1.05/1.30 exact (zenon_H5 zenon_H6). % 1.05/1.30 (* end of lemma zenon_L324_ *) % 1.05/1.30 assert (zenon_L325_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(hskp17)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H52 zenon_H4e zenon_Hb zenon_H4b zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H92 zenon_H2b6 zenon_H53 zenon_H54. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.30 apply (zenon_L27_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.30 apply (zenon_L320_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H120 | zenon_intro zenon_H2b7 ]. % 1.05/1.30 apply (zenon_L324_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H33 | zenon_intro zenon_H93 ]. % 1.05/1.30 apply (zenon_L13_); trivial. % 1.05/1.30 exact (zenon_H92 zenon_H93). % 1.05/1.30 apply (zenon_L17_); trivial. % 1.05/1.30 (* end of lemma zenon_L325_ *) % 1.05/1.30 assert (zenon_L326_ : (~(hskp31)) -> (hskp31) -> False). % 1.05/1.30 do 0 intro. intros zenon_H2b8 zenon_H2b9. % 1.05/1.30 exact (zenon_H2b8 zenon_H2b9). % 1.05/1.30 (* end of lemma zenon_L326_ *) % 1.05/1.30 assert (zenon_L327_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (c0_1 (a410)) -> (c2_1 (a410)) -> (c3_1 (a410)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H102 zenon_H10 zenon_H2ba zenon_H2bb zenon_H2bc. % 1.05/1.30 generalize (zenon_H102 (a410)). zenon_intro zenon_H2bd. % 1.05/1.30 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_Hf | zenon_intro zenon_H2be ]. % 1.05/1.30 exact (zenon_Hf zenon_H10). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ]. % 1.05/1.30 exact (zenon_H2c0 zenon_H2ba). % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c1 ]. % 1.05/1.30 exact (zenon_H2c2 zenon_H2bb). % 1.05/1.30 exact (zenon_H2c1 zenon_H2bc). % 1.05/1.30 (* end of lemma zenon_L327_ *) % 1.05/1.30 assert (zenon_L328_ : ((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(hskp16)) -> False). % 1.05/1.30 do 0 intro. intros zenon_H2c3 zenon_H10c zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H5. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.05/1.30 apply (zenon_L59_); trivial. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.05/1.30 apply (zenon_L327_); trivial. % 1.05/1.30 exact (zenon_H5 zenon_H6). % 1.05/1.30 (* end of lemma zenon_L328_ *) % 1.05/1.30 assert (zenon_L329_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.05/1.30 do 0 intro. intros zenon_H54 zenon_H53 zenon_H2c6 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H2c7 zenon_Ha4 zenon_Ha3 zenon_H5 zenon_H10c zenon_H293 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.05/1.30 apply (zenon_L27_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.05/1.30 apply (zenon_L320_); trivial. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.05/1.30 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.05/1.30 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H128 | zenon_intro zenon_H2c8 ]. % 1.13/1.30 apply (zenon_L66_); trivial. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2b9 ]. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.13/1.30 apply (zenon_L127_); trivial. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.13/1.30 apply (zenon_L68_); trivial. % 1.13/1.30 exact (zenon_H5 zenon_H6). % 1.13/1.30 exact (zenon_H2b8 zenon_H2b9). % 1.13/1.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.30 apply (zenon_L13_); trivial. % 1.13/1.30 exact (zenon_H5 zenon_H6). % 1.13/1.30 apply (zenon_L328_); trivial. % 1.13/1.30 (* end of lemma zenon_L329_ *) % 1.13/1.30 assert (zenon_L330_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.30 do 0 intro. intros zenon_H141 zenon_H293 zenon_H2c7 zenon_H2c6 zenon_H54 zenon_H53 zenon_H2b6 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H4b zenon_Hb zenon_H4e zenon_H52. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.30 apply (zenon_L325_); trivial. % 1.13/1.30 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.30 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.30 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.30 apply (zenon_L329_); trivial. % 1.13/1.30 apply (zenon_L17_); trivial. % 1.13/1.30 (* end of lemma zenon_L330_ *) % 1.13/1.30 assert (zenon_L331_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp21)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.13/1.30 do 0 intro. intros zenon_H54 zenon_H53 zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H109 zenon_H10b zenon_H12d zenon_Haf zenon_H20 zenon_H21 zenon_H22 zenon_H112 zenon_H113 zenon_H114 zenon_H12c zenon_H64 zenon_Hb zenon_Hf1 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.30 apply (zenon_L27_); trivial. % 1.13/1.30 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.30 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.30 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.30 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.30 apply (zenon_L320_); trivial. % 1.13/1.30 apply (zenon_L70_); trivial. % 1.13/1.30 (* end of lemma zenon_L331_ *) % 1.13/1.30 assert (zenon_L332_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (ndr1_0) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (c1_1 (a365)) -> (c3_1 (a365)) -> (c2_1 (a365)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_Hd4 zenon_Hd3 zenon_H10 zenon_H120 zenon_H34 zenon_H36 zenon_H35. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.13/1.31 apply (zenon_L63_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.13/1.31 apply (zenon_L186_); trivial. % 1.13/1.31 apply (zenon_L65_); trivial. % 1.13/1.31 (* end of lemma zenon_L332_ *) % 1.13/1.31 assert (zenon_L333_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp17)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H3d zenon_H2b6 zenon_Hd3 zenon_Hd4 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H92. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H120 | zenon_intro zenon_H2b7 ]. % 1.13/1.31 apply (zenon_L332_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H33 | zenon_intro zenon_H93 ]. % 1.13/1.31 apply (zenon_L13_); trivial. % 1.13/1.31 exact (zenon_H92 zenon_H93). % 1.13/1.31 (* end of lemma zenon_L333_ *) % 1.13/1.31 assert (zenon_L334_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> (~(hskp0)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H52 zenon_H4e zenon_H4b zenon_H134 zenon_H2b6 zenon_H92 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_Hf1 zenon_Hb zenon_H12c zenon_H114 zenon_H113 zenon_H112 zenon_H22 zenon_H21 zenon_H20 zenon_H12d zenon_H10b zenon_H109 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132 zenon_H53 zenon_H54 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.31 apply (zenon_L331_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.31 apply (zenon_L27_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L320_); trivial. % 1.13/1.31 apply (zenon_L333_); trivial. % 1.13/1.31 apply (zenon_L94_); trivial. % 1.13/1.31 apply (zenon_L17_); trivial. % 1.13/1.31 (* end of lemma zenon_L334_ *) % 1.13/1.31 assert (zenon_L335_ : ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(hskp31))) -> (c0_1 (a418)) -> (~(c3_1 (a418))) -> (~(c2_1 (a418))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H2c9 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H10 zenon_H2b8. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2ca ]. % 1.13/1.31 apply (zenon_L132_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2b9 ]. % 1.13/1.31 apply (zenon_L59_); trivial. % 1.13/1.31 exact (zenon_H2b8 zenon_H2b9). % 1.13/1.31 (* end of lemma zenon_L335_ *) % 1.13/1.31 assert (zenon_L336_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (c0_1 (a410)) -> (c2_1 (a410)) -> (c3_1 (a410)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_Hd4 zenon_Hd3 zenon_H120 zenon_H10 zenon_H2ba zenon_H2bb zenon_H2bc. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.13/1.31 apply (zenon_L63_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.13/1.31 apply (zenon_L186_); trivial. % 1.13/1.31 apply (zenon_L327_); trivial. % 1.13/1.31 (* end of lemma zenon_L336_ *) % 1.13/1.31 assert (zenon_L337_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c1_1 (a398)) -> (c3_1 (a398)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(hskp31))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H1f0 zenon_H2c6 zenon_H132 zenon_H112 zenon_H113 zenon_H114 zenon_H20 zenon_H21 zenon_H22 zenon_Hd3 zenon_Hd4 zenon_H12c zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2c9. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.13/1.31 apply (zenon_L335_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.31 apply (zenon_L336_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.13/1.31 apply (zenon_L63_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.13/1.31 apply (zenon_L64_); trivial. % 1.13/1.31 apply (zenon_L327_); trivial. % 1.13/1.31 apply (zenon_L59_); trivial. % 1.13/1.31 (* end of lemma zenon_L337_ *) % 1.13/1.31 assert (zenon_L338_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H87 zenon_H82 zenon_H54 zenon_H53 zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H109 zenon_H10b zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H112 zenon_H113 zenon_H114 zenon_H12c zenon_Hb zenon_Hf1 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_Ha4 zenon_Ha3 zenon_H1e2 zenon_H2c9 zenon_H2c6 zenon_H204 zenon_H134. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.31 apply (zenon_L331_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.31 apply (zenon_L27_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L320_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.31 apply (zenon_L332_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.31 apply (zenon_L69_); trivial. % 1.13/1.31 apply (zenon_L129_); trivial. % 1.13/1.31 apply (zenon_L337_); trivial. % 1.13/1.31 apply (zenon_L30_); trivial. % 1.13/1.31 (* end of lemma zenon_L338_ *) % 1.13/1.31 assert (zenon_L339_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp21)) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H1a6 zenon_H64 zenon_H186 zenon_H187 zenon_Hf1 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_Hb. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.31 apply (zenon_L98_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.31 apply (zenon_L104_); trivial. % 1.13/1.31 exact (zenon_Hb zenon_Hc). % 1.13/1.31 (* end of lemma zenon_L339_ *) % 1.13/1.31 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a375)) -> (~(c0_1 (a375))) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp8)) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hdd zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_Hf1 zenon_H187 zenon_H186 zenon_H64 zenon_H1a6 zenon_H1b3. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.31 apply (zenon_L339_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.31 apply (zenon_L51_); trivial. % 1.13/1.31 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.31 (* end of lemma zenon_L340_ *) % 1.13/1.31 assert (zenon_L341_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a375)) -> (~(c0_1 (a375))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_H1d zenon_H76 zenon_H1b5 zenon_H1b3 zenon_H114 zenon_H113 zenon_H112 zenon_H12d zenon_Hf1 zenon_Hb zenon_H187 zenon_H186 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1a6 zenon_H134. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.31 apply (zenon_L339_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.31 apply (zenon_L120_); trivial. % 1.13/1.31 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.31 apply (zenon_L340_); trivial. % 1.13/1.31 apply (zenon_L30_); trivial. % 1.13/1.31 (* end of lemma zenon_L341_ *) % 1.13/1.31 assert (zenon_L342_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H19a zenon_H52 zenon_H4e zenon_H4b zenon_H134 zenon_H1a6 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_Hf1 zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H1b3 zenon_H1b5 zenon_H76 zenon_H82 zenon_H54 zenon_H87. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L341_); trivial. % 1.13/1.31 apply (zenon_L17_); trivial. % 1.13/1.31 (* end of lemma zenon_L342_ *) % 1.13/1.31 assert (zenon_L343_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H94 zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H5 zenon_H261 zenon_H53. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L212_); trivial. % 1.13/1.31 apply (zenon_L38_); trivial. % 1.13/1.31 (* end of lemma zenon_L343_ *) % 1.13/1.31 assert (zenon_L344_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H28f zenon_H8b zenon_H8a zenon_H89 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H10 zenon_H99. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H88 | zenon_intro zenon_H290 ]. % 1.13/1.31 apply (zenon_L33_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H9a ]. % 1.13/1.31 apply (zenon_L173_); trivial. % 1.13/1.31 exact (zenon_H99 zenon_H9a). % 1.13/1.31 (* end of lemma zenon_L344_ *) % 1.13/1.31 assert (zenon_L345_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(hskp23)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H12d zenon_H113 zenon_H114 zenon_Hd1 zenon_H6e zenon_H6f zenon_H6d zenon_H10 zenon_He6 zenon_Haf. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.31 apply (zenon_L118_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.31 apply (zenon_L66_); trivial. % 1.13/1.31 exact (zenon_Haf zenon_Hb0). % 1.13/1.31 (* end of lemma zenon_L345_ *) % 1.13/1.31 assert (zenon_L346_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp5)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp8)) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hdd zenon_H1b5 zenon_H99 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H89 zenon_H8a zenon_H8b zenon_H28f zenon_H1b3. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.31 apply (zenon_L344_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.31 apply (zenon_L51_); trivial. % 1.13/1.31 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.31 (* end of lemma zenon_L346_ *) % 1.13/1.31 assert (zenon_L347_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H94 zenon_H134 zenon_H1c1 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6f zenon_H6e zenon_H6d zenon_H22 zenon_H21 zenon_H20 zenon_H1b5 zenon_H1b3 zenon_H114 zenon_H113 zenon_H12d zenon_H99 zenon_H28f zenon_H68 zenon_H1b1. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.13/1.31 apply (zenon_L218_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.31 apply (zenon_L344_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.31 apply (zenon_L345_); trivial. % 1.13/1.31 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.31 exact (zenon_H68 zenon_H69). % 1.13/1.31 apply (zenon_L346_); trivial. % 1.13/1.31 (* end of lemma zenon_L347_ *) % 1.13/1.31 assert (zenon_L348_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H13d zenon_H98 zenon_H134 zenon_H1c1 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6f zenon_H6e zenon_H6d zenon_H1b5 zenon_H1b3 zenon_H114 zenon_H113 zenon_H12d zenon_H99 zenon_H28f zenon_H1b1 zenon_H6a zenon_H68 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.31 apply (zenon_L95_); trivial. % 1.13/1.31 apply (zenon_L347_); trivial. % 1.13/1.31 (* end of lemma zenon_L348_ *) % 1.13/1.31 assert (zenon_L349_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H19f zenon_H140 zenon_H19e zenon_H207 zenon_H205 zenon_H98 zenon_H52 zenon_H9b zenon_H99 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H261 zenon_H53 zenon_H6a zenon_H68 zenon_H180 zenon_H184 zenon_H87 zenon_H1b1 zenon_H28f zenon_H12d zenon_H1b5 zenon_H1c1 zenon_H134 zenon_H137 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.31 apply (zenon_L323_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.31 apply (zenon_L95_); trivial. % 1.13/1.31 apply (zenon_L343_); trivial. % 1.13/1.31 apply (zenon_L348_); trivial. % 1.13/1.31 apply (zenon_L140_); trivial. % 1.13/1.31 (* end of lemma zenon_L349_ *) % 1.13/1.31 assert (zenon_L350_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H214 zenon_H140 zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H52 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.31 apply (zenon_L323_); trivial. % 1.13/1.31 apply (zenon_L209_); trivial. % 1.13/1.31 (* end of lemma zenon_L350_ *) % 1.13/1.31 assert (zenon_L351_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H28f zenon_H157 zenon_H7a zenon_H79 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10 zenon_H99. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H88 | zenon_intro zenon_H290 ]. % 1.13/1.31 apply (zenon_L303_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H9a ]. % 1.13/1.31 apply (zenon_L112_); trivial. % 1.13/1.31 exact (zenon_H99 zenon_H9a). % 1.13/1.31 (* end of lemma zenon_L351_ *) % 1.13/1.31 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp5)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp13)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H3d zenon_H212 zenon_H99 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H79 zenon_H7a zenon_H28f zenon_He2. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.13/1.31 apply (zenon_L351_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.13/1.31 apply (zenon_L13_); trivial. % 1.13/1.31 exact (zenon_He2 zenon_He3). % 1.13/1.31 (* end of lemma zenon_L352_ *) % 1.13/1.31 assert (zenon_L353_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H136 zenon_H1e3 zenon_H98 zenon_H261 zenon_H87 zenon_H212 zenon_H28f zenon_H6a zenon_H1c1 zenon_H109 zenon_H230 zenon_H137 zenon_H53 zenon_H3e zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H99 zenon_H68 zenon_H9b zenon_H52. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.31 apply (zenon_L288_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.31 apply (zenon_L25_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L126_); trivial. % 1.13/1.31 apply (zenon_L352_); trivial. % 1.13/1.31 apply (zenon_L198_); trivial. % 1.13/1.31 apply (zenon_L239_); trivial. % 1.13/1.31 apply (zenon_L113_); trivial. % 1.13/1.31 apply (zenon_L146_); trivial. % 1.13/1.31 (* end of lemma zenon_L353_ *) % 1.13/1.31 assert (zenon_L354_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H1f zenon_H1cf zenon_H1ce zenon_H172 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.31 apply (zenon_L154_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.31 apply (zenon_L319_); trivial. % 1.13/1.31 exact (zenon_H1b zenon_H1c). % 1.13/1.31 (* end of lemma zenon_L354_ *) % 1.13/1.31 assert (zenon_L355_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp28)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H232 zenon_H1b zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1cf zenon_H1f zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H1d0 zenon_H1ce zenon_H10 zenon_H109. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.31 apply (zenon_L15_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.31 apply (zenon_L354_); trivial. % 1.13/1.31 apply (zenon_L160_); trivial. % 1.13/1.31 (* end of lemma zenon_L355_ *) % 1.13/1.31 assert (zenon_L356_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H52 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H230 zenon_H109 zenon_H232 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L202_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L355_); trivial. % 1.13/1.31 apply (zenon_L14_); trivial. % 1.13/1.31 (* end of lemma zenon_L356_ *) % 1.13/1.31 assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H55 zenon_H53 zenon_H212 zenon_He2 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L320_); trivial. % 1.13/1.31 apply (zenon_L164_); trivial. % 1.13/1.31 (* end of lemma zenon_L357_ *) % 1.13/1.31 assert (zenon_L358_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.31 apply (zenon_L27_); trivial. % 1.13/1.31 apply (zenon_L357_); trivial. % 1.13/1.31 (* end of lemma zenon_L358_ *) % 1.13/1.31 assert (zenon_L359_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp28)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H1cc zenon_H1b zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1ce zenon_H1cf zenon_H1f zenon_H14c zenon_H14b zenon_H14a zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H10 zenon_Haf. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.31 apply (zenon_L354_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.31 apply (zenon_L76_); trivial. % 1.13/1.31 apply (zenon_L120_); trivial. % 1.13/1.31 (* end of lemma zenon_L359_ *) % 1.13/1.31 assert (zenon_L360_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H212 zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H172 zenon_H1ce zenon_H1cf zenon_H160 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_He2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.13/1.31 apply (zenon_L155_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.13/1.31 apply (zenon_L13_); trivial. % 1.13/1.31 exact (zenon_He2 zenon_He3). % 1.13/1.31 (* end of lemma zenon_L360_ *) % 1.13/1.31 assert (zenon_L361_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hdd zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H14a zenon_H14b zenon_H14c zenon_H160 zenon_H1cf zenon_H1ce zenon_H4b zenon_H1cc zenon_H114 zenon_H112 zenon_H113. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.13/1.31 apply (zenon_L15_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.13/1.31 apply (zenon_L189_); trivial. % 1.13/1.31 apply (zenon_L156_); trivial. % 1.13/1.31 (* end of lemma zenon_L361_ *) % 1.13/1.31 assert (zenon_L362_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H52 zenon_H134 zenon_H227 zenon_H1cc zenon_H114 zenon_H113 zenon_H112 zenon_H12d zenon_H1ce zenon_H1cf zenon_H230 zenon_H109 zenon_H1d0 zenon_H1c1 zenon_H232 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_He2 zenon_H212 zenon_H53 zenon_H54. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L358_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L359_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.31 apply (zenon_L15_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.31 apply (zenon_L360_); trivial. % 1.13/1.31 apply (zenon_L175_); trivial. % 1.13/1.31 apply (zenon_L361_); trivial. % 1.13/1.31 (* end of lemma zenon_L362_ *) % 1.13/1.31 assert (zenon_L363_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c2_1 (a358)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H53 zenon_H1e3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d0 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H10 zenon_H14a zenon_H14b zenon_H14c zenon_H12d zenon_Haf zenon_H112 zenon_H113 zenon_H114 zenon_H1cc. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L359_); trivial. % 1.13/1.31 apply (zenon_L144_); trivial. % 1.13/1.31 (* end of lemma zenon_L363_ *) % 1.13/1.31 assert (zenon_L364_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H19f zenon_H136 zenon_H23 zenon_H1e3 zenon_H54 zenon_H53 zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H76 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H109 zenon_H230 zenon_H52. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L358_); trivial. % 1.13/1.31 apply (zenon_L198_); trivial. % 1.13/1.31 apply (zenon_L199_); trivial. % 1.13/1.31 (* end of lemma zenon_L364_ *) % 1.13/1.31 assert (zenon_L365_ : ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp20)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H2cb zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H11 zenon_H10 zenon_H250 zenon_H153. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H2cc ]. % 1.13/1.31 apply (zenon_L232_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H251 | zenon_intro zenon_H154 ]. % 1.13/1.31 exact (zenon_H250 zenon_H251). % 1.13/1.31 exact (zenon_H153 zenon_H154). % 1.13/1.31 (* end of lemma zenon_L365_ *) % 1.13/1.31 assert (zenon_L366_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H260 zenon_H230 zenon_H109 zenon_H44 zenon_H43 zenon_H42 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H153 zenon_H2cb zenon_H3 zenon_H3e zenon_H53. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.31 apply (zenon_L365_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.31 apply (zenon_L319_); trivial. % 1.13/1.31 exact (zenon_H1b zenon_H1c). % 1.13/1.31 apply (zenon_L14_); trivial. % 1.13/1.31 apply (zenon_L193_); trivial. % 1.13/1.31 (* end of lemma zenon_L366_ *) % 1.13/1.31 assert (zenon_L367_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a359))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H16c zenon_H175 zenon_H174 zenon_H1a2 zenon_H173 zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_H9f. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.13/1.31 apply (zenon_L213_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.13/1.31 apply (zenon_L81_); trivial. % 1.13/1.31 exact (zenon_H9f zenon_Ha0). % 1.13/1.31 (* end of lemma zenon_L367_ *) % 1.13/1.31 assert (zenon_L368_ : (~(hskp9)) -> (hskp9) -> False). % 1.13/1.31 do 0 intro. intros zenon_H2cd zenon_H2ce. % 1.13/1.31 exact (zenon_H2cd zenon_H2ce). % 1.13/1.31 (* end of lemma zenon_L368_ *) % 1.13/1.31 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp12)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp9)) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hcc zenon_H2cf zenon_H9f zenon_H163 zenon_H164 zenon_H165 zenon_H173 zenon_H174 zenon_H175 zenon_H16c zenon_H2cd. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2d0 ]. % 1.13/1.31 apply (zenon_L367_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H2ce ]. % 1.13/1.31 apply (zenon_L46_); trivial. % 1.13/1.31 exact (zenon_H2cd zenon_H2ce). % 1.13/1.31 (* end of lemma zenon_L369_ *) % 1.13/1.31 assert (zenon_L370_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H16e zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_H9f zenon_H16c zenon_He2 zenon_H1 zenon_H234. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.31 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.31 apply (zenon_L166_); trivial. % 1.13/1.31 apply (zenon_L369_); trivial. % 1.13/1.31 (* end of lemma zenon_L370_ *) % 1.13/1.31 assert (zenon_L371_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp20)) -> (~(hskp22)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H62 zenon_H153 zenon_H250 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2cb zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H3. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 1.13/1.31 apply (zenon_L365_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 1.13/1.31 apply (zenon_L19_); trivial. % 1.13/1.31 exact (zenon_H3 zenon_H4). % 1.13/1.31 (* end of lemma zenon_L371_ *) % 1.13/1.31 assert (zenon_L372_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H260 zenon_H230 zenon_H109 zenon_H44 zenon_H43 zenon_H42 zenon_H2cb zenon_H153 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10 zenon_H59 zenon_H5a zenon_H5b zenon_H3 zenon_H62. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.31 apply (zenon_L371_); trivial. % 1.13/1.31 apply (zenon_L193_); trivial. % 1.13/1.31 (* end of lemma zenon_L372_ *) % 1.13/1.31 assert (zenon_L373_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H16e zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.13/1.31 apply (zenon_L88_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.13/1.31 apply (zenon_L19_); trivial. % 1.13/1.31 apply (zenon_L81_); trivial. % 1.13/1.31 (* end of lemma zenon_L373_ *) % 1.13/1.31 assert (zenon_L374_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H145 zenon_H52 zenon_H171 zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H62 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2cb zenon_H109 zenon_H230 zenon_H260 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L202_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.31 apply (zenon_L372_); trivial. % 1.13/1.31 apply (zenon_L373_); trivial. % 1.13/1.31 (* end of lemma zenon_L374_ *) % 1.13/1.31 assert (zenon_L375_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H136 zenon_H1e3 zenon_H232 zenon_H52 zenon_H171 zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_H9f zenon_H16c zenon_H234 zenon_H2cb zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H109 zenon_H230 zenon_H260 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53 zenon_H62 zenon_H2d1 zenon_H148. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L202_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.31 apply (zenon_L366_); trivial. % 1.13/1.31 apply (zenon_L370_); trivial. % 1.13/1.31 apply (zenon_L374_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L202_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.31 apply (zenon_L366_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.31 apply (zenon_L15_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.31 apply (zenon_L354_); trivial. % 1.13/1.31 apply (zenon_L367_); trivial. % 1.13/1.31 apply (zenon_L144_); trivial. % 1.13/1.31 (* end of lemma zenon_L375_ *) % 1.13/1.31 assert (zenon_L376_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H135 zenon_H52 zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L202_); trivial. % 1.13/1.31 apply (zenon_L214_); trivial. % 1.13/1.31 (* end of lemma zenon_L376_ *) % 1.13/1.31 assert (zenon_L377_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H4d zenon_H171 zenon_H16c zenon_H9f zenon_H20b zenon_H20a zenon_H209 zenon_H53 zenon_H3e zenon_H3 zenon_H2cb zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H109 zenon_H230 zenon_H260. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.31 apply (zenon_L366_); trivial. % 1.13/1.31 apply (zenon_L277_); trivial. % 1.13/1.31 (* end of lemma zenon_L377_ *) % 1.13/1.31 assert (zenon_L378_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H260 zenon_H230 zenon_H109 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2cb zenon_H3 zenon_H3e zenon_H9f zenon_H16c zenon_H171 zenon_H52. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L143_); trivial. % 1.13/1.31 apply (zenon_L377_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L145_); trivial. % 1.13/1.31 apply (zenon_L377_); trivial. % 1.13/1.31 (* end of lemma zenon_L378_ *) % 1.13/1.31 assert (zenon_L379_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H140 zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H52 zenon_H171 zenon_H16c zenon_H3e zenon_H3 zenon_H2cb zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H109 zenon_H230 zenon_H260 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H53 zenon_H1e3 zenon_H136. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.31 apply (zenon_L378_); trivial. % 1.13/1.31 apply (zenon_L376_); trivial. % 1.13/1.31 (* end of lemma zenon_L379_ *) % 1.13/1.31 assert (zenon_L380_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a359))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H212 zenon_H175 zenon_H174 zenon_H1a2 zenon_H173 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_He2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.13/1.31 apply (zenon_L213_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.13/1.31 apply (zenon_L13_); trivial. % 1.13/1.31 exact (zenon_He2 zenon_He3). % 1.13/1.31 (* end of lemma zenon_L380_ *) % 1.13/1.31 assert (zenon_L381_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp13)) -> (c1_1 (a365)) -> (c2_1 (a365)) -> (c3_1 (a365)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp9)) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hcc zenon_H2cf zenon_He2 zenon_H34 zenon_H35 zenon_H36 zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_H2cd. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2d0 ]. % 1.13/1.31 apply (zenon_L380_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H2ce ]. % 1.13/1.31 apply (zenon_L46_); trivial. % 1.13/1.31 exact (zenon_H2cd zenon_H2ce). % 1.13/1.31 (* end of lemma zenon_L381_ *) % 1.13/1.31 assert (zenon_L382_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H3d zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_He2 zenon_H1 zenon_H234. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.31 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.31 apply (zenon_L166_); trivial. % 1.13/1.31 apply (zenon_L381_); trivial. % 1.13/1.31 (* end of lemma zenon_L382_ *) % 1.13/1.31 assert (zenon_L383_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H53 zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_He2 zenon_H1 zenon_H234 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L126_); trivial. % 1.13/1.31 apply (zenon_L382_); trivial. % 1.13/1.31 (* end of lemma zenon_L383_ *) % 1.13/1.31 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp22)) -> (~(hskp20)) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hcc zenon_H2cb zenon_H250 zenon_H153. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.13/1.31 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H2cc ]. % 1.13/1.31 apply (zenon_L46_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H251 | zenon_intro zenon_H154 ]. % 1.13/1.31 exact (zenon_H250 zenon_H251). % 1.13/1.31 exact (zenon_H153 zenon_H154). % 1.13/1.31 (* end of lemma zenon_L384_ *) % 1.13/1.31 assert (zenon_L385_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp22)) -> (ndr1_0) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (c1_1 (a380)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hd0 zenon_H2cb zenon_H153 zenon_H250 zenon_H10 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H9f zenon_Ha1. % 1.13/1.31 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.31 apply (zenon_L42_); trivial. % 1.13/1.31 apply (zenon_L384_); trivial. % 1.13/1.31 (* end of lemma zenon_L385_ *) % 1.13/1.31 assert (zenon_L386_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a380)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> (ndr1_0) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H260 zenon_H230 zenon_H109 zenon_H44 zenon_H43 zenon_H42 zenon_Ha1 zenon_H9f zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H10 zenon_H153 zenon_H2cb zenon_Hd0. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.31 apply (zenon_L385_); trivial. % 1.13/1.31 apply (zenon_L193_); trivial. % 1.13/1.31 (* end of lemma zenon_L386_ *) % 1.13/1.31 assert (zenon_L387_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (c1_1 (a380)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H4d zenon_H171 zenon_H16c zenon_H20b zenon_H20a zenon_H209 zenon_Hd0 zenon_H2cb zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H9f zenon_Ha1 zenon_H109 zenon_H230 zenon_H260. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.31 apply (zenon_L386_); trivial. % 1.13/1.31 apply (zenon_L277_); trivial. % 1.13/1.31 (* end of lemma zenon_L387_ *) % 1.13/1.31 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H142 zenon_H52 zenon_H171 zenon_H16c zenon_H20b zenon_H20a zenon_H209 zenon_H2cb zenon_H9f zenon_Ha1 zenon_H109 zenon_H230 zenon_H260 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H234 zenon_H1 zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H53. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L383_); trivial. % 1.13/1.31 apply (zenon_L387_); trivial. % 1.13/1.31 (* end of lemma zenon_L388_ *) % 1.13/1.31 assert (zenon_L389_ : (forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c0_1 (a363)) -> (c2_1 (a363)) -> False). % 1.13/1.31 do 0 intro. intros zenon_Hf8 zenon_H10 zenon_H1b8 zenon_H27b zenon_H1ba. % 1.13/1.31 generalize (zenon_Hf8 (a363)). zenon_intro zenon_H2d3. % 1.13/1.31 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d4 ]. % 1.13/1.31 exact (zenon_Hf zenon_H10). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1be | zenon_intro zenon_H2d5 ]. % 1.13/1.31 exact (zenon_H1b8 zenon_H1be). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H277 | zenon_intro zenon_H1bf ]. % 1.13/1.31 exact (zenon_H277 zenon_H27b). % 1.13/1.31 exact (zenon_H1bf zenon_H1ba). % 1.13/1.31 (* end of lemma zenon_L389_ *) % 1.13/1.31 assert (zenon_L390_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H11 zenon_H10 zenon_Hf8 zenon_H1b8 zenon_H1ba zenon_H1b9. % 1.13/1.31 generalize (zenon_H11 (a363)). zenon_intro zenon_H278. % 1.13/1.31 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_Hf | zenon_intro zenon_H279 ]. % 1.13/1.31 exact (zenon_Hf zenon_H10). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ]. % 1.13/1.31 apply (zenon_L389_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1be | zenon_intro zenon_H1c0 ]. % 1.13/1.31 exact (zenon_H1b8 zenon_H1be). % 1.13/1.31 exact (zenon_H1c0 zenon_H1b9). % 1.13/1.31 (* end of lemma zenon_L390_ *) % 1.13/1.31 assert (zenon_L391_ : ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H11 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_H5. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.13/1.31 apply (zenon_L390_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.13/1.31 apply (zenon_L104_); trivial. % 1.13/1.31 exact (zenon_H5 zenon_H6). % 1.13/1.31 (* end of lemma zenon_L391_ *) % 1.13/1.31 assert (zenon_L392_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp16)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H160 zenon_H5 zenon_H1a2 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H5b zenon_H5a zenon_H224 zenon_H59 zenon_H10 zenon_H4b. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.13/1.31 apply (zenon_L391_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.13/1.31 apply (zenon_L169_); trivial. % 1.13/1.31 exact (zenon_H4b zenon_H4c). % 1.13/1.31 (* end of lemma zenon_L392_ *) % 1.13/1.31 assert (zenon_L393_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp16)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp3)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H4d zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H160 zenon_H5 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H5b zenon_H5a zenon_H59 zenon_H4b. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.31 apply (zenon_L15_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.31 apply (zenon_L88_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.13/1.31 apply (zenon_L15_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.13/1.31 apply (zenon_L213_); trivial. % 1.13/1.31 apply (zenon_L392_); trivial. % 1.13/1.31 (* end of lemma zenon_L393_ *) % 1.13/1.31 assert (zenon_L394_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H94 zenon_H52 zenon_H232 zenon_H160 zenon_H4b zenon_H5b zenon_H5a zenon_H59 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H6d zenon_H6e zenon_H6f zenon_H10c zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H5 zenon_H261 zenon_H53. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L212_); trivial. % 1.13/1.31 apply (zenon_L393_); trivial. % 1.13/1.31 (* end of lemma zenon_L394_ *) % 1.13/1.31 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_H87 zenon_H184 zenon_H182 zenon_H180 zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H10c zenon_H6f zenon_H6e zenon_H6d zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H4b zenon_H160 zenon_H232 zenon_H52 zenon_H98. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.31 apply (zenon_L95_); trivial. % 1.13/1.31 apply (zenon_L394_); trivial. % 1.13/1.31 apply (zenon_L113_); trivial. % 1.13/1.31 (* end of lemma zenon_L395_ *) % 1.13/1.31 assert (zenon_L396_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a364))) -> (~(c1_1 (a364))) -> (c2_1 (a364)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H1a2 zenon_H10 zenon_H2d6 zenon_H2d7 zenon_H2d8. % 1.13/1.31 generalize (zenon_H1a2 (a364)). zenon_intro zenon_H2d9. % 1.13/1.31 apply (zenon_imply_s _ _ zenon_H2d9); [ zenon_intro zenon_Hf | zenon_intro zenon_H2da ]. % 1.13/1.31 exact (zenon_Hf zenon_H10). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2db ]. % 1.13/1.31 exact (zenon_H2d6 zenon_H2dc). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 1.13/1.31 exact (zenon_H2d7 zenon_H2de). % 1.13/1.31 exact (zenon_H2dd zenon_H2d8). % 1.13/1.31 (* end of lemma zenon_L396_ *) % 1.13/1.31 assert (zenon_L397_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c0_1 (a364))) -> (~(c1_1 (a364))) -> (c2_1 (a364)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H4d zenon_H232 zenon_H175 zenon_H174 zenon_H173 zenon_H2d6 zenon_H2d7 zenon_H2d8. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.31 apply (zenon_L15_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.31 apply (zenon_L88_); trivial. % 1.13/1.31 apply (zenon_L396_); trivial. % 1.13/1.31 (* end of lemma zenon_L397_ *) % 1.13/1.31 assert (zenon_L398_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c2_1 (a364)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H52 zenon_H232 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L202_); trivial. % 1.13/1.31 apply (zenon_L397_); trivial. % 1.13/1.31 (* end of lemma zenon_L398_ *) % 1.13/1.31 assert (zenon_L399_ : (forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88)))))) -> (ndr1_0) -> (~(c1_1 (a364))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c0_1 (a364))) -> (c2_1 (a364)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H10e zenon_H10 zenon_H2d7 zenon_H192 zenon_H2d6 zenon_H2d8. % 1.13/1.31 generalize (zenon_H10e (a364)). zenon_intro zenon_H2df. % 1.13/1.31 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_Hf | zenon_intro zenon_H2e0 ]. % 1.13/1.31 exact (zenon_Hf zenon_H10). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2de | zenon_intro zenon_H2e1 ]. % 1.13/1.31 exact (zenon_H2d7 zenon_H2de). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2dd ]. % 1.13/1.31 generalize (zenon_H192 (a364)). zenon_intro zenon_H2e3. % 1.13/1.31 apply (zenon_imply_s _ _ zenon_H2e3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2e4 ]. % 1.13/1.31 exact (zenon_Hf zenon_H10). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e5 ]. % 1.13/1.31 exact (zenon_H2d6 zenon_H2dc). % 1.13/1.31 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2de | zenon_intro zenon_H2e6 ]. % 1.13/1.31 exact (zenon_H2d7 zenon_H2de). % 1.13/1.31 exact (zenon_H2e6 zenon_H2e2). % 1.13/1.31 exact (zenon_H2dd zenon_H2d8). % 1.13/1.31 (* end of lemma zenon_L399_ *) % 1.13/1.31 assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (c2_1 (a364)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp10)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H19f zenon_H207 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2d7 zenon_H2d6 zenon_H2d8 zenon_H1c1 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H205. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H192 | zenon_intro zenon_H208 ]. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.13/1.31 apply (zenon_L399_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.13/1.31 apply (zenon_L26_); trivial. % 1.13/1.31 apply (zenon_L112_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H27 | zenon_intro zenon_H206 ]. % 1.13/1.31 apply (zenon_L125_); trivial. % 1.13/1.31 exact (zenon_H205 zenon_H206). % 1.13/1.31 (* end of lemma zenon_L400_ *) % 1.13/1.31 assert (zenon_L401_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c0_1 (a364))) -> (~(c1_1 (a364))) -> (c2_1 (a364)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H19d zenon_H207 zenon_H205 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H53 zenon_H3e zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H173 zenon_H174 zenon_H175 zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H232 zenon_H52. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.31 apply (zenon_L398_); trivial. % 1.13/1.31 apply (zenon_L400_); trivial. % 1.13/1.31 (* end of lemma zenon_L401_ *) % 1.13/1.31 assert (zenon_L402_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H212 zenon_H7a zenon_H79 zenon_H88 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_He2. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.13/1.31 apply (zenon_L303_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.13/1.31 apply (zenon_L13_); trivial. % 1.13/1.31 exact (zenon_He2 zenon_He3). % 1.13/1.31 (* end of lemma zenon_L402_ *) % 1.13/1.31 assert (zenon_L403_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp13)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp7)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H3d zenon_H17e zenon_H175 zenon_H174 zenon_H173 zenon_He2 zenon_H79 zenon_H7a zenon_H212 zenon_H17c. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.13/1.31 apply (zenon_L88_); trivial. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.13/1.31 apply (zenon_L402_); trivial. % 1.13/1.31 exact (zenon_H17c zenon_H17d). % 1.13/1.31 (* end of lemma zenon_L403_ *) % 1.13/1.31 assert (zenon_L404_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H87 zenon_H53 zenon_H17e zenon_H17c zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.31 apply (zenon_L25_); trivial. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.31 apply (zenon_L126_); trivial. % 1.13/1.31 apply (zenon_L403_); trivial. % 1.13/1.31 (* end of lemma zenon_L404_ *) % 1.13/1.31 assert (zenon_L405_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c2_1 (a364)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.31 do 0 intro. intros zenon_H52 zenon_H232 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H6a zenon_H68 zenon_H66 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_He2 zenon_H17c zenon_H17e zenon_H53 zenon_H87. % 1.13/1.31 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.31 apply (zenon_L404_); trivial. % 1.13/1.31 apply (zenon_L397_); trivial. % 1.13/1.31 (* end of lemma zenon_L405_ *) % 1.13/1.31 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(hskp15)) -> False). % 1.13/1.31 do 0 intro. intros zenon_H25d zenon_H2e7 zenon_H8b zenon_H8a zenon_H89 zenon_H1. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.31 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H88 | zenon_intro zenon_H2e8 ]. % 1.13/1.32 apply (zenon_L33_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H22c | zenon_intro zenon_H2 ]. % 1.13/1.32 apply (zenon_L192_); trivial. % 1.13/1.32 exact (zenon_H1 zenon_H2). % 1.13/1.32 (* end of lemma zenon_L406_ *) % 1.13/1.32 assert (zenon_L407_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (c1_1 (a380)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H94 zenon_H171 zenon_H16c zenon_H20b zenon_H20a zenon_H209 zenon_Hd0 zenon_H2cb zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H9f zenon_Ha1 zenon_H1 zenon_H2e7 zenon_H260. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.32 apply (zenon_L385_); trivial. % 1.13/1.32 apply (zenon_L406_); trivial. % 1.13/1.32 apply (zenon_L277_); trivial. % 1.13/1.32 (* end of lemma zenon_L407_ *) % 1.13/1.32 assert (zenon_L408_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H55 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L320_); trivial. % 1.13/1.32 apply (zenon_L142_); trivial. % 1.13/1.32 (* end of lemma zenon_L408_ *) % 1.13/1.32 assert (zenon_L409_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.32 apply (zenon_L27_); trivial. % 1.13/1.32 apply (zenon_L408_); trivial. % 1.13/1.32 (* end of lemma zenon_L409_ *) % 1.13/1.32 assert (zenon_L410_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp16)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1f zenon_H5 zenon_H1a2 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.32 apply (zenon_L391_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.32 apply (zenon_L319_); trivial. % 1.13/1.32 exact (zenon_H1b zenon_H1c). % 1.13/1.32 (* end of lemma zenon_L410_ *) % 1.13/1.32 assert (zenon_L411_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp16)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H232 zenon_H44 zenon_H43 zenon_H42 zenon_H1ce zenon_H1cf zenon_H1f zenon_H5 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.32 apply (zenon_L15_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.32 apply (zenon_L354_); trivial. % 1.13/1.32 apply (zenon_L410_); trivial. % 1.13/1.32 (* end of lemma zenon_L411_ *) % 1.13/1.32 assert (zenon_L412_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H3d zenon_H261 zenon_H186 zenon_H187 zenon_H293 zenon_H5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H88 | zenon_intro zenon_H262 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.13/1.32 apply (zenon_L97_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.32 apply (zenon_L13_); trivial. % 1.13/1.32 exact (zenon_H5 zenon_H6). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.32 apply (zenon_L13_); trivial. % 1.13/1.32 exact (zenon_H5 zenon_H6). % 1.13/1.32 (* end of lemma zenon_L412_ *) % 1.13/1.32 assert (zenon_L413_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H4d zenon_H53 zenon_H261 zenon_H186 zenon_H187 zenon_H293 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H6d zenon_H6e zenon_H6f zenon_H5 zenon_H10c zenon_H232. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L411_); trivial. % 1.13/1.32 apply (zenon_L412_); trivial. % 1.13/1.32 (* end of lemma zenon_L413_ *) % 1.13/1.32 assert (zenon_L414_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19a zenon_H137 zenon_H1c1 zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H232 zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H1ce zenon_H1cf zenon_H293 zenon_H261 zenon_H52. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.32 apply (zenon_L409_); trivial. % 1.13/1.32 apply (zenon_L413_); trivial. % 1.13/1.32 apply (zenon_L113_); trivial. % 1.13/1.32 (* end of lemma zenon_L414_ *) % 1.13/1.32 assert (zenon_L415_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H140 zenon_H52 zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53 zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.32 apply (zenon_L323_); trivial. % 1.13/1.32 apply (zenon_L376_); trivial. % 1.13/1.32 (* end of lemma zenon_L415_ *) % 1.13/1.32 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H55 zenon_H53 zenon_H261 zenon_H5 zenon_H8b zenon_H8a zenon_H89 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L320_); trivial. % 1.13/1.32 apply (zenon_L211_); trivial. % 1.13/1.32 (* end of lemma zenon_L416_ *) % 1.13/1.32 assert (zenon_L417_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H94 zenon_H54 zenon_H53 zenon_H261 zenon_H5 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.32 apply (zenon_L222_); trivial. % 1.13/1.32 apply (zenon_L416_); trivial. % 1.13/1.32 (* end of lemma zenon_L417_ *) % 1.13/1.32 assert (zenon_L418_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H98 zenon_H54 zenon_H53 zenon_H261 zenon_H5 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H273 zenon_H6a zenon_H68 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.32 apply (zenon_L95_); trivial. % 1.13/1.32 apply (zenon_L417_); trivial. % 1.13/1.32 (* end of lemma zenon_L418_ *) % 1.13/1.32 assert (zenon_L419_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19f zenon_H19e zenon_H98 zenon_H54 zenon_H53 zenon_H261 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H273 zenon_H6a zenon_H68 zenon_H180 zenon_H184 zenon_H87 zenon_H207 zenon_H205 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H12d zenon_H1c1 zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H137. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.32 apply (zenon_L418_); trivial. % 1.13/1.32 apply (zenon_L220_); trivial. % 1.13/1.32 apply (zenon_L140_); trivial. % 1.13/1.32 (* end of lemma zenon_L419_ *) % 1.13/1.32 assert (zenon_L420_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.32 apply (zenon_L222_); trivial. % 1.13/1.32 apply (zenon_L408_); trivial. % 1.13/1.32 (* end of lemma zenon_L420_ *) % 1.13/1.32 assert (zenon_L421_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H55 zenon_H53 zenon_H1e3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L320_); trivial. % 1.13/1.32 apply (zenon_L144_); trivial. % 1.13/1.32 (* end of lemma zenon_L421_ *) % 1.13/1.32 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H13a zenon_H54 zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.32 apply (zenon_L222_); trivial. % 1.13/1.32 apply (zenon_L421_); trivial. % 1.13/1.32 (* end of lemma zenon_L422_ *) % 1.13/1.32 assert (zenon_L423_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H214 zenon_H136 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H212 zenon_H53 zenon_H54. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.32 apply (zenon_L420_); trivial. % 1.13/1.32 apply (zenon_L422_); trivial. % 1.13/1.32 (* end of lemma zenon_L423_ *) % 1.13/1.32 assert (zenon_L424_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H54 zenon_H53 zenon_H3e zenon_H3 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.32 apply (zenon_L222_); trivial. % 1.13/1.32 apply (zenon_L321_); trivial. % 1.13/1.32 (* end of lemma zenon_L424_ *) % 1.13/1.32 assert (zenon_L425_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H55 zenon_H53 zenon_H261 zenon_H186 zenon_H187 zenon_H5 zenon_H293 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L320_); trivial. % 1.13/1.32 apply (zenon_L412_); trivial. % 1.13/1.32 (* end of lemma zenon_L425_ *) % 1.13/1.32 assert (zenon_L426_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H54 zenon_H53 zenon_H261 zenon_H186 zenon_H187 zenon_H5 zenon_H293 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.32 apply (zenon_L222_); trivial. % 1.13/1.32 apply (zenon_L425_); trivial. % 1.13/1.32 (* end of lemma zenon_L426_ *) % 1.13/1.32 assert (zenon_L427_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19a zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H293 zenon_H261 zenon_H53 zenon_H54. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.32 apply (zenon_L426_); trivial. % 1.13/1.32 apply (zenon_L113_); trivial. % 1.13/1.32 (* end of lemma zenon_L427_ *) % 1.13/1.32 assert (zenon_L428_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19f zenon_H19e zenon_H293 zenon_H98 zenon_H54 zenon_H53 zenon_H261 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H273 zenon_H6a zenon_H68 zenon_H180 zenon_H184 zenon_H87 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H137. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.32 apply (zenon_L418_); trivial. % 1.13/1.32 apply (zenon_L113_); trivial. % 1.13/1.32 apply (zenon_L427_); trivial. % 1.13/1.32 (* end of lemma zenon_L428_ *) % 1.13/1.32 assert (zenon_L429_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_He2 zenon_H212 zenon_H53 zenon_H54. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.32 apply (zenon_L358_); trivial. % 1.13/1.32 apply (zenon_L214_); trivial. % 1.13/1.32 (* end of lemma zenon_L429_ *) % 1.13/1.32 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H13a zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.32 apply (zenon_L145_); trivial. % 1.13/1.32 apply (zenon_L214_); trivial. % 1.13/1.32 (* end of lemma zenon_L430_ *) % 1.13/1.32 assert (zenon_L431_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19f zenon_H140 zenon_H136 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H54 zenon_H53 zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H1f zenon_H76 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.32 apply (zenon_L323_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.32 apply (zenon_L429_); trivial. % 1.13/1.32 apply (zenon_L430_); trivial. % 1.13/1.32 (* end of lemma zenon_L431_ *) % 1.13/1.32 assert (zenon_L432_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H53 zenon_H3e zenon_H3 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H10 zenon_H14a zenon_H14b zenon_H14c zenon_H12d zenon_Haf zenon_H112 zenon_H113 zenon_H114 zenon_H1cc. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L359_); trivial. % 1.13/1.32 apply (zenon_L14_); trivial. % 1.13/1.32 (* end of lemma zenon_L432_ *) % 1.13/1.32 assert (zenon_L433_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp28)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1cc zenon_H1b zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1ce zenon_H1cf zenon_H1f zenon_H14c zenon_H14b zenon_H14a zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.32 apply (zenon_L354_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.32 apply (zenon_L76_); trivial. % 1.13/1.32 apply (zenon_L51_); trivial. % 1.13/1.32 (* end of lemma zenon_L433_ *) % 1.13/1.32 assert (zenon_L434_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H3d zenon_H1cc zenon_He2 zenon_H160 zenon_H1cf zenon_H1ce zenon_H4b zenon_H212 zenon_H14c zenon_H14b zenon_H14a zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.32 apply (zenon_L360_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.32 apply (zenon_L76_); trivial. % 1.13/1.32 apply (zenon_L51_); trivial. % 1.13/1.32 (* end of lemma zenon_L434_ *) % 1.13/1.32 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hdd zenon_H53 zenon_H160 zenon_H4b zenon_He2 zenon_H212 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L433_); trivial. % 1.13/1.32 apply (zenon_L434_); trivial. % 1.13/1.32 (* end of lemma zenon_L435_ *) % 1.13/1.32 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hdd zenon_H53 zenon_H3e zenon_H3 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L433_); trivial. % 1.13/1.32 apply (zenon_L14_); trivial. % 1.13/1.32 (* end of lemma zenon_L436_ *) % 1.13/1.32 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H135 zenon_H136 zenon_H1d0 zenon_H1e3 zenon_H53 zenon_H3e zenon_H3 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H12d zenon_H1cc zenon_H212 zenon_H4b zenon_H160 zenon_H134. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.32 apply (zenon_L432_); trivial. % 1.13/1.32 apply (zenon_L435_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.32 apply (zenon_L363_); trivial. % 1.13/1.32 apply (zenon_L436_); trivial. % 1.13/1.32 (* end of lemma zenon_L437_ *) % 1.13/1.32 assert (zenon_L438_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19a zenon_H52 zenon_H198 zenon_H109 zenon_H134 zenon_H1a6 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_Hf1 zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H1b3 zenon_H1b5 zenon_H76 zenon_H82 zenon_H54 zenon_H87. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.32 apply (zenon_L341_); trivial. % 1.13/1.32 apply (zenon_L101_); trivial. % 1.13/1.32 (* end of lemma zenon_L438_ *) % 1.13/1.32 assert (zenon_L439_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H135 zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_H134 zenon_H1a6 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_Hf1 zenon_H12d zenon_H1b3 zenon_H1b5 zenon_H76 zenon_H82 zenon_H54 zenon_H87 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H297 zenon_H205 zenon_H180 zenon_H184 zenon_H171. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.13/1.32 apply (zenon_L275_); trivial. % 1.13/1.32 apply (zenon_L438_); trivial. % 1.13/1.32 (* end of lemma zenon_L439_ *) % 1.13/1.32 assert (zenon_L440_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19d zenon_H140 zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_H134 zenon_H1a6 zenon_H12d zenon_H1b5 zenon_H76 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H297 zenon_H205 zenon_H180 zenon_H184 zenon_H171 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_Hb zenon_Hd zenon_H87. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.32 apply (zenon_L271_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.32 apply (zenon_L323_); trivial. % 1.13/1.32 apply (zenon_L439_); trivial. % 1.13/1.32 (* end of lemma zenon_L440_ *) % 1.13/1.32 assert (zenon_L441_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H214 zenon_H19d zenon_H140 zenon_H52 zenon_H227 zenon_H82 zenon_Hf1 zenon_H76 zenon_H87 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H16c zenon_H171 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.32 apply (zenon_L322_); trivial. % 1.13/1.32 apply (zenon_L280_); trivial. % 1.13/1.32 (* end of lemma zenon_L441_ *) % 1.13/1.32 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_H82 zenon_Hf1 zenon_H76 zenon_H87 zenon_H184 zenon_H180 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1c1 zenon_H137 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.32 apply (zenon_L322_); trivial. % 1.13/1.32 apply (zenon_L282_); trivial. % 1.13/1.32 (* end of lemma zenon_L442_ *) % 1.13/1.32 assert (zenon_L443_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H66 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_H82 zenon_H54 zenon_H87. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.32 apply (zenon_L31_); trivial. % 1.13/1.32 apply (zenon_L214_); trivial. % 1.13/1.32 (* end of lemma zenon_L443_ *) % 1.13/1.32 assert (zenon_L444_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H135 zenon_H98 zenon_H17e zenon_H17c zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.32 apply (zenon_L443_); trivial. % 1.13/1.32 apply (zenon_L90_); trivial. % 1.13/1.32 (* end of lemma zenon_L444_ *) % 1.13/1.32 assert (zenon_L445_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H19d zenon_H140 zenon_H98 zenon_H17e zenon_H17c zenon_H87 zenon_H82 zenon_H76 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52 zenon_H1b3 zenon_H2b4 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.32 apply (zenon_L322_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.32 apply (zenon_L323_); trivial. % 1.13/1.32 apply (zenon_L444_); trivial. % 1.13/1.32 (* end of lemma zenon_L445_ *) % 1.13/1.32 assert (zenon_L446_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H112 zenon_H113 zenon_H114 zenon_Hd1 zenon_H10 zenon_Haf. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.32 apply (zenon_L106_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.32 apply (zenon_L119_); trivial. % 1.13/1.32 exact (zenon_Haf zenon_Hb0). % 1.13/1.32 (* end of lemma zenon_L446_ *) % 1.13/1.32 assert (zenon_L447_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp8)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H89 zenon_H8a zenon_H8b zenon_H1a6 zenon_Haf zenon_H10 zenon_H114 zenon_H113 zenon_H112 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_H1b3. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.32 apply (zenon_L105_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.32 apply (zenon_L446_); trivial. % 1.13/1.32 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.32 (* end of lemma zenon_L447_ *) % 1.13/1.32 assert (zenon_L448_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H94 zenon_H134 zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1b3 zenon_H1b5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.32 apply (zenon_L447_); trivial. % 1.13/1.32 apply (zenon_L110_); trivial. % 1.13/1.32 (* end of lemma zenon_L448_ *) % 1.13/1.32 assert (zenon_L449_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H98 zenon_H134 zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1b3 zenon_H1b5 zenon_H6a zenon_H68 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.32 apply (zenon_L95_); trivial. % 1.13/1.32 apply (zenon_L448_); trivial. % 1.13/1.32 (* end of lemma zenon_L449_ *) % 1.13/1.32 assert (zenon_L450_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H135 zenon_H19e zenon_H52 zenon_H198 zenon_H109 zenon_Hf1 zenon_H76 zenon_H82 zenon_H54 zenon_H87 zenon_H184 zenon_H180 zenon_H68 zenon_H6a zenon_H1b5 zenon_H1b3 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_H6d zenon_H6e zenon_H6f zenon_Hb zenon_H1a6 zenon_H134 zenon_H98. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.13/1.32 apply (zenon_L449_); trivial. % 1.13/1.32 apply (zenon_L438_); trivial. % 1.13/1.32 (* end of lemma zenon_L450_ *) % 1.13/1.32 assert (zenon_L451_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H11 zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.32 apply (zenon_L272_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.32 apply (zenon_L106_); trivial. % 1.13/1.32 apply (zenon_L390_); trivial. % 1.13/1.32 (* end of lemma zenon_L451_ *) % 1.13/1.32 assert (zenon_L452_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1f zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.32 apply (zenon_L451_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.32 apply (zenon_L319_); trivial. % 1.13/1.32 exact (zenon_H1b zenon_H1c). % 1.13/1.32 (* end of lemma zenon_L452_ *) % 1.13/1.32 assert (zenon_L453_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp23)) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp16)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H3d zenon_H293 zenon_Haf zenon_H6d zenon_H6f zenon_H6e zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_H5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.13/1.32 apply (zenon_L107_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.32 apply (zenon_L13_); trivial. % 1.13/1.32 exact (zenon_H5 zenon_H6). % 1.13/1.32 (* end of lemma zenon_L453_ *) % 1.13/1.32 assert (zenon_L454_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(hskp23)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H53 zenon_H293 zenon_H5 zenon_H6d zenon_H6f zenon_H6e zenon_Haf zenon_H12d zenon_H132 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L452_); trivial. % 1.13/1.32 apply (zenon_L453_); trivial. % 1.13/1.32 (* end of lemma zenon_L454_ *) % 1.13/1.32 assert (zenon_L455_ : (forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28)))))) -> (c2_1 (a363)) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hf8 zenon_H10 zenon_H1b8 zenon_H27 zenon_H1ba. % 1.13/1.32 generalize (zenon_Hf8 (a363)). zenon_intro zenon_H2d3. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d4 ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1be | zenon_intro zenon_H2d5 ]. % 1.13/1.32 exact (zenon_H1b8 zenon_H1be). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H277 | zenon_intro zenon_H1bf ]. % 1.13/1.32 generalize (zenon_H27 (a363)). zenon_intro zenon_H2e9. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H2e9); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ea ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H27b | zenon_intro zenon_H2eb ]. % 1.13/1.32 exact (zenon_H277 zenon_H27b). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1be | zenon_intro zenon_H1bf ]. % 1.13/1.32 exact (zenon_H1b8 zenon_H1be). % 1.13/1.32 exact (zenon_H1bf zenon_H1ba). % 1.13/1.32 exact (zenon_H1bf zenon_H1ba). % 1.13/1.32 (* end of lemma zenon_L455_ *) % 1.13/1.32 assert (zenon_L456_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28)))))) -> (c2_1 (a363)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10 zenon_H1b8 zenon_H27 zenon_H1ba. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.32 apply (zenon_L272_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.32 apply (zenon_L106_); trivial. % 1.13/1.32 apply (zenon_L455_); trivial. % 1.13/1.32 (* end of lemma zenon_L456_ *) % 1.13/1.32 assert (zenon_L457_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H22c zenon_H10 zenon_Hf8 zenon_H1b8 zenon_H1ba zenon_H1b9. % 1.13/1.32 generalize (zenon_H22c (a363)). zenon_intro zenon_H2ec. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H2ec); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ed ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H27b | zenon_intro zenon_H1bd ]. % 1.13/1.32 apply (zenon_L389_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ]. % 1.13/1.32 exact (zenon_H1c0 zenon_H1b9). % 1.13/1.32 exact (zenon_H1bf zenon_H1ba). % 1.13/1.32 (* end of lemma zenon_L457_ *) % 1.13/1.32 assert (zenon_L458_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (c1_1 (a365)) -> (c2_1 (a365)) -> (c3_1 (a365)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1e3 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H22c zenon_H10 zenon_H34 zenon_H35 zenon_H36. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.13/1.32 apply (zenon_L456_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.13/1.32 apply (zenon_L457_); trivial. % 1.13/1.32 apply (zenon_L13_); trivial. % 1.13/1.32 (* end of lemma zenon_L458_ *) % 1.13/1.32 assert (zenon_L459_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H3d zenon_H2a1 zenon_H5 zenon_H293 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1e3 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.32 apply (zenon_L289_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.32 apply (zenon_L458_); trivial. % 1.13/1.32 apply (zenon_L51_); trivial. % 1.13/1.32 (* end of lemma zenon_L459_ *) % 1.13/1.32 assert (zenon_L460_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H137 zenon_H1c1 zenon_H293 zenon_H12d zenon_H1e3 zenon_H2a1 zenon_H134 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H27f zenon_H280 zenon_H281 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H132 zenon_H3e zenon_H53. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L452_); trivial. % 1.13/1.32 apply (zenon_L14_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.32 apply (zenon_L454_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L452_); trivial. % 1.13/1.32 apply (zenon_L459_); trivial. % 1.13/1.32 apply (zenon_L113_); trivial. % 1.13/1.32 (* end of lemma zenon_L460_ *) % 1.13/1.32 assert (zenon_L461_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp28)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1cc zenon_H1b zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1ce zenon_H1cf zenon_H1f zenon_H14c zenon_H14b zenon_H14a zenon_H297 zenon_H281 zenon_H280 zenon_H27f zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_H205. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.32 apply (zenon_L354_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.32 apply (zenon_L76_); trivial. % 1.13/1.32 apply (zenon_L285_); trivial. % 1.13/1.32 (* end of lemma zenon_L461_ *) % 1.13/1.32 assert (zenon_L462_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H171 zenon_H53 zenon_H3e zenon_H3 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H297 zenon_H205 zenon_H1cc zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.32 apply (zenon_L273_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L461_); trivial. % 1.13/1.32 apply (zenon_L14_); trivial. % 1.13/1.32 (* end of lemma zenon_L462_ *) % 1.13/1.32 assert (zenon_L463_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (c2_1 (a358)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H171 zenon_H53 zenon_H1b5 zenon_H1b3 zenon_H293 zenon_H5 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1d0 zenon_H261 zenon_H2a1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H297 zenon_H205 zenon_H1cc zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.32 apply (zenon_L273_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L461_); trivial. % 1.13/1.32 apply (zenon_L294_); trivial. % 1.13/1.32 (* end of lemma zenon_L463_ *) % 1.13/1.32 assert (zenon_L464_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H13d zenon_H171 zenon_H1b5 zenon_H1b3 zenon_H205 zenon_H297 zenon_H6d zenon_H6e zenon_H6f zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.32 apply (zenon_L273_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.32 apply (zenon_L218_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.32 apply (zenon_L285_); trivial. % 1.13/1.32 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.32 (* end of lemma zenon_L464_ *) % 1.13/1.32 assert (zenon_L465_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a358)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H217 zenon_H140 zenon_H136 zenon_H1e3 zenon_H212 zenon_H23 zenon_H227 zenon_H52 zenon_H2b4 zenon_H171 zenon_H53 zenon_H3e zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H297 zenon_H1cc zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H1b5 zenon_H1b3 zenon_H293 zenon_H1c1 zenon_H1d0 zenon_H261 zenon_H2a1 zenon_H137 zenon_H19d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.32 apply (zenon_L462_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.32 apply (zenon_L463_); trivial. % 1.13/1.32 apply (zenon_L464_); trivial. % 1.13/1.32 apply (zenon_L350_); trivial. % 1.13/1.32 (* end of lemma zenon_L465_ *) % 1.13/1.32 assert (zenon_L466_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H22c zenon_H88 zenon_H10 zenon_H27f zenon_H280 zenon_H281. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.13/1.32 apply (zenon_L125_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.13/1.32 apply (zenon_L457_); trivial. % 1.13/1.32 apply (zenon_L290_); trivial. % 1.13/1.32 (* end of lemma zenon_L466_ *) % 1.13/1.32 assert (zenon_L467_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H261 zenon_H281 zenon_H280 zenon_H27f zenon_H22c zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_H5. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H88 | zenon_intro zenon_H262 ]. % 1.13/1.32 apply (zenon_L466_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.32 apply (zenon_L13_); trivial. % 1.13/1.32 exact (zenon_H5 zenon_H6). % 1.13/1.32 (* end of lemma zenon_L467_ *) % 1.13/1.32 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (~(hskp10)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H3d zenon_H2a1 zenon_H293 zenon_H5 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H261 zenon_H297 zenon_H281 zenon_H280 zenon_H27f zenon_H165 zenon_H164 zenon_H163 zenon_H205. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.32 apply (zenon_L289_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.32 apply (zenon_L467_); trivial. % 1.13/1.32 apply (zenon_L285_); trivial. % 1.13/1.32 (* end of lemma zenon_L468_ *) % 1.13/1.32 assert (zenon_L469_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1c3 zenon_H217 zenon_H140 zenon_H136 zenon_H212 zenon_H23 zenon_H227 zenon_H52 zenon_H16c zenon_H171 zenon_H53 zenon_H3e zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H297 zenon_H1cc zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H2a1 zenon_H1e3 zenon_H1d0 zenon_H261 zenon_H293 zenon_H1c1 zenon_H137 zenon_H19d. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.32 apply (zenon_L462_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.32 apply (zenon_L273_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.32 apply (zenon_L461_); trivial. % 1.13/1.32 apply (zenon_L468_); trivial. % 1.13/1.32 apply (zenon_L113_); trivial. % 1.13/1.32 apply (zenon_L302_); trivial. % 1.13/1.32 (* end of lemma zenon_L469_ *) % 1.13/1.32 assert (zenon_L470_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H214 zenon_H136 zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H212 zenon_H53 zenon_H54. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.32 apply (zenon_L420_); trivial. % 1.13/1.32 apply (zenon_L311_); trivial. % 1.13/1.32 (* end of lemma zenon_L470_ *) % 1.13/1.32 assert (zenon_L471_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (~(c1_1 (a355))) -> (~(c2_1 (a355))) -> (c3_1 (a355)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H111 zenon_H10 zenon_H2ee zenon_H2ef zenon_H2f0. % 1.13/1.32 generalize (zenon_H111 (a355)). zenon_intro zenon_H2f1. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H2f1); [ zenon_intro zenon_Hf | zenon_intro zenon_H2f2 ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H2f3 ]. % 1.13/1.32 exact (zenon_H2ee zenon_H2f4). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H2f5 ]. % 1.13/1.32 exact (zenon_H2ef zenon_H2f6). % 1.13/1.32 exact (zenon_H2f5 zenon_H2f0). % 1.13/1.32 (* end of lemma zenon_L471_ *) % 1.13/1.32 assert (zenon_L472_ : (forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89)))))) -> (ndr1_0) -> (~(c1_1 (a355))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (c3_1 (a355)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H6c zenon_H10 zenon_H2ee zenon_H111 zenon_H2f0. % 1.13/1.32 generalize (zenon_H6c (a355)). zenon_intro zenon_H2f7. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H2f7); [ zenon_intro zenon_Hf | zenon_intro zenon_H2f8 ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H2f9 ]. % 1.13/1.32 exact (zenon_H2ee zenon_H2f4). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2f5 ]. % 1.13/1.32 apply (zenon_L471_); trivial. % 1.13/1.32 exact (zenon_H2f5 zenon_H2f0). % 1.13/1.32 (* end of lemma zenon_L472_ *) % 1.13/1.32 assert (zenon_L473_ : (forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81)))))) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H128 zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0. % 1.13/1.32 generalize (zenon_H128 (a355)). zenon_intro zenon_H2fb. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H2fb); [ zenon_intro zenon_Hf | zenon_intro zenon_H2fc ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H2fd ]. % 1.13/1.32 exact (zenon_H2ee zenon_H2f4). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H2fe | zenon_intro zenon_H2f5 ]. % 1.13/1.32 exact (zenon_H2fe zenon_H2fa). % 1.13/1.32 exact (zenon_H2f5 zenon_H2f0). % 1.13/1.32 (* end of lemma zenon_L473_ *) % 1.13/1.32 assert (zenon_L474_ : (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (c0_1 (a355)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H102 zenon_H10 zenon_H2fa zenon_H111 zenon_H2ee zenon_H2f0. % 1.13/1.32 generalize (zenon_H102 (a355)). zenon_intro zenon_H2ff. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H2ff); [ zenon_intro zenon_Hf | zenon_intro zenon_H300 ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H2fe | zenon_intro zenon_H2f9 ]. % 1.13/1.32 exact (zenon_H2fe zenon_H2fa). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2f5 ]. % 1.13/1.32 apply (zenon_L471_); trivial. % 1.13/1.32 exact (zenon_H2f5 zenon_H2f0). % 1.13/1.32 (* end of lemma zenon_L474_ *) % 1.13/1.32 assert (zenon_L475_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c3_1 (a373)) -> (c1_1 (a373)) -> (c0_1 (a373)) -> (ndr1_0) -> (c0_1 (a355)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H10 zenon_H2fa zenon_H111 zenon_H2ee zenon_H2f0. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.13/1.32 apply (zenon_L63_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.13/1.32 apply (zenon_L47_); trivial. % 1.13/1.32 apply (zenon_L474_); trivial. % 1.13/1.32 (* end of lemma zenon_L475_ *) % 1.13/1.32 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp23)) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hc7 zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2f0 zenon_H2fa zenon_H2ee zenon_Haf. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.32 apply (zenon_L475_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.32 apply (zenon_L473_); trivial. % 1.13/1.32 exact (zenon_Haf zenon_Hb0). % 1.13/1.32 (* end of lemma zenon_L476_ *) % 1.13/1.32 assert (zenon_L477_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hcd zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_Hb1 zenon_Haf zenon_H2f0 zenon_H2ee zenon_H10 zenon_H2fa zenon_H12d. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb2 ]. % 1.13/1.33 apply (zenon_L472_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb0 ]. % 1.13/1.33 exact (zenon_Had zenon_Hae). % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L473_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 apply (zenon_L476_); trivial. % 1.13/1.33 (* end of lemma zenon_L477_ *) % 1.13/1.33 assert (zenon_L478_ : ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (c0_1 (a355)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H10c zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H2f0 zenon_H2ee zenon_H111 zenon_H2fa zenon_H10 zenon_H5. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.13/1.33 apply (zenon_L59_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.13/1.33 apply (zenon_L474_); trivial. % 1.13/1.33 exact (zenon_H5 zenon_H6). % 1.13/1.33 (* end of lemma zenon_L478_ *) % 1.13/1.33 assert (zenon_L479_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp16)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H12d zenon_H5 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10c zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_L478_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L473_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 (* end of lemma zenon_L479_ *) % 1.13/1.33 assert (zenon_L480_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H52 zenon_H4e zenon_Hb zenon_H4b zenon_H12d zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_Hdb zenon_Hde zenon_H134. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L479_); trivial. % 1.13/1.33 apply (zenon_L53_); trivial. % 1.13/1.33 apply (zenon_L17_); trivial. % 1.13/1.33 (* end of lemma zenon_L480_ *) % 1.13/1.33 assert (zenon_L481_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hcd zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.33 apply (zenon_L45_); trivial. % 1.13/1.33 apply (zenon_L476_); trivial. % 1.13/1.33 (* end of lemma zenon_L481_ *) % 1.13/1.33 assert (zenon_L482_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H261 zenon_H157 zenon_H7a zenon_H79 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_H5. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H88 | zenon_intro zenon_H262 ]. % 1.13/1.33 apply (zenon_L303_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.33 apply (zenon_L13_); trivial. % 1.13/1.33 exact (zenon_H5 zenon_H6). % 1.13/1.33 (* end of lemma zenon_L482_ *) % 1.13/1.33 assert (zenon_L483_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c3_1 (a355)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H1c1 zenon_H22 zenon_H21 zenon_H20 zenon_H2f0 zenon_H111 zenon_H2ee zenon_H10 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.13/1.33 apply (zenon_L63_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.13/1.33 apply (zenon_L472_); trivial. % 1.13/1.33 apply (zenon_L173_); trivial. % 1.13/1.33 (* end of lemma zenon_L483_ *) % 1.13/1.33 assert (zenon_L484_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H12d zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H20 zenon_H21 zenon_H22 zenon_H1c1 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_L483_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L473_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 (* end of lemma zenon_L484_ *) % 1.13/1.33 assert (zenon_L485_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c0_1 (a373)) -> (c1_1 (a373)) -> (c3_1 (a373)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H12d zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hbe zenon_Hbf zenon_Hc0 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H6e zenon_H6f zenon_H6d zenon_H10 zenon_He6 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_L475_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L66_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 (* end of lemma zenon_L485_ *) % 1.13/1.33 assert (zenon_L486_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H13d zenon_H134 zenon_H1b5 zenon_H1b3 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H12c zenon_H68 zenon_H1b1 zenon_Hcd. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.33 apply (zenon_L45_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.13/1.33 apply (zenon_L484_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.13/1.33 apply (zenon_L485_); trivial. % 1.13/1.33 exact (zenon_H68 zenon_H69). % 1.13/1.33 apply (zenon_L219_); trivial. % 1.13/1.33 (* end of lemma zenon_L486_ *) % 1.13/1.33 assert (zenon_L487_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H10 zenon_H12d. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L479_); trivial. % 1.13/1.33 apply (zenon_L181_); trivial. % 1.13/1.33 (* end of lemma zenon_L487_ *) % 1.13/1.33 assert (zenon_L488_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H13a zenon_H137 zenon_Hb1 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H12c zenon_H68 zenon_H1b1 zenon_Hcd zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H6f zenon_H6e zenon_H6d zenon_H1b3 zenon_H1b5 zenon_H134. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.33 apply (zenon_L487_); trivial. % 1.13/1.33 apply (zenon_L486_); trivial. % 1.13/1.33 (* end of lemma zenon_L488_ *) % 1.13/1.33 assert (zenon_L489_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H12d zenon_H113 zenon_H114 zenon_Hd1 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_L118_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L473_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 (* end of lemma zenon_L489_ *) % 1.13/1.33 assert (zenon_L490_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.33 apply (zenon_L28_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.33 apply (zenon_L174_); trivial. % 1.13/1.33 apply (zenon_L489_); trivial. % 1.13/1.33 (* end of lemma zenon_L490_ *) % 1.13/1.33 assert (zenon_L491_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H1b1 zenon_H1b3 zenon_H12d zenon_H113 zenon_H114 zenon_H6e zenon_H6f zenon_H6d zenon_H10 zenon_Haf zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H1c1 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1b5 zenon_H68. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.13/1.33 apply (zenon_L490_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.33 apply (zenon_L490_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.33 apply (zenon_L345_); trivial. % 1.13/1.33 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.33 exact (zenon_H68 zenon_H69). % 1.13/1.33 (* end of lemma zenon_L491_ *) % 1.13/1.33 assert (zenon_L492_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.33 apply (zenon_L28_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.33 apply (zenon_L174_); trivial. % 1.13/1.33 apply (zenon_L51_); trivial. % 1.13/1.33 (* end of lemma zenon_L492_ *) % 1.13/1.33 assert (zenon_L493_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp8)) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hdd zenon_H1b5 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H79 zenon_H7a zenon_H7b zenon_H2a1 zenon_H1b3. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.33 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.33 apply (zenon_L492_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.33 apply (zenon_L51_); trivial. % 1.13/1.33 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.33 (* end of lemma zenon_L493_ *) % 1.13/1.33 assert (zenon_L494_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H87 zenon_H134 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.33 apply (zenon_L25_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L491_); trivial. % 1.13/1.33 apply (zenon_L493_); trivial. % 1.13/1.33 (* end of lemma zenon_L494_ *) % 1.13/1.33 assert (zenon_L495_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> (~(hskp17)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H98 zenon_H95 zenon_H92 zenon_H6a zenon_H68 zenon_H1b1 zenon_H1b3 zenon_H1b5 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H134 zenon_H87. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.33 apply (zenon_L494_); trivial. % 1.13/1.33 apply (zenon_L35_); trivial. % 1.13/1.33 (* end of lemma zenon_L495_ *) % 1.13/1.33 assert (zenon_L496_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H135 zenon_H141 zenon_H52 zenon_H9b zenon_H99 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203 zenon_H87 zenon_H134 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H68 zenon_H6a zenon_H95 zenon_H98. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.33 apply (zenon_L495_); trivial. % 1.13/1.33 apply (zenon_L138_); trivial. % 1.13/1.33 (* end of lemma zenon_L496_ *) % 1.13/1.33 assert (zenon_L497_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H62 zenon_H1cf zenon_H1ce zenon_H172 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H3. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 1.13/1.33 apply (zenon_L154_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 1.13/1.33 apply (zenon_L19_); trivial. % 1.13/1.33 exact (zenon_H3 zenon_H4). % 1.13/1.33 (* end of lemma zenon_L497_ *) % 1.13/1.33 assert (zenon_L498_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c3_1 (a355)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H1c1 zenon_H22c zenon_H2f0 zenon_H111 zenon_H2ee zenon_H10 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.13/1.33 apply (zenon_L172_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.13/1.33 apply (zenon_L472_); trivial. % 1.13/1.33 apply (zenon_L173_); trivial. % 1.13/1.33 (* end of lemma zenon_L498_ *) % 1.13/1.33 assert (zenon_L499_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H12d zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H22c zenon_H1c1 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_L498_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L473_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 (* end of lemma zenon_L499_ *) % 1.13/1.33 assert (zenon_L500_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp0)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H1c1 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H12d zenon_H109. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.13/1.33 apply (zenon_L499_); trivial. % 1.13/1.33 exact (zenon_H109 zenon_H10a). % 1.13/1.33 (* end of lemma zenon_L500_ *) % 1.13/1.33 assert (zenon_L501_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp11)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp0)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H232 zenon_H3 zenon_H59 zenon_H5a zenon_H5b zenon_H62 zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H1c1 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H12d zenon_H109. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.33 apply (zenon_L497_); trivial. % 1.13/1.33 apply (zenon_L500_); trivial. % 1.13/1.33 (* end of lemma zenon_L501_ *) % 1.13/1.33 assert (zenon_L502_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (c0_1 (a355)) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H301 zenon_H165 zenon_H164 zenon_H163 zenon_H2f0 zenon_H2ee zenon_H111 zenon_H2fa zenon_H10 zenon_H1b. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H162 | zenon_intro zenon_H302 ]. % 1.13/1.33 apply (zenon_L81_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.13/1.33 apply (zenon_L474_); trivial. % 1.13/1.33 exact (zenon_H1b zenon_H1c). % 1.13/1.33 (* end of lemma zenon_L502_ *) % 1.13/1.33 assert (zenon_L503_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp28)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H12d zenon_H1b zenon_H163 zenon_H164 zenon_H165 zenon_H301 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_L502_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L473_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 (* end of lemma zenon_L503_ *) % 1.13/1.33 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp22)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H3d zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H250. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H58 | zenon_intro zenon_H304 ]. % 1.13/1.33 apply (zenon_L19_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H33 | zenon_intro zenon_H251 ]. % 1.13/1.33 apply (zenon_L13_); trivial. % 1.13/1.33 exact (zenon_H250 zenon_H251). % 1.13/1.33 (* end of lemma zenon_L504_ *) % 1.13/1.33 assert (zenon_L505_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H53 zenon_H303 zenon_H250 zenon_H5b zenon_H5a zenon_H59 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_Haf zenon_H12d. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.33 apply (zenon_L503_); trivial. % 1.13/1.33 apply (zenon_L504_); trivial. % 1.13/1.33 (* end of lemma zenon_L505_ *) % 1.13/1.33 assert (zenon_L506_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp11)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hdd zenon_H1cc zenon_H3 zenon_H59 zenon_H5a zenon_H5b zenon_H1ce zenon_H1cf zenon_H62 zenon_H14c zenon_H14b zenon_H14a. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.33 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.33 apply (zenon_L497_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.33 apply (zenon_L76_); trivial. % 1.13/1.33 apply (zenon_L51_); trivial. % 1.13/1.33 (* end of lemma zenon_L506_ *) % 1.13/1.33 assert (zenon_L507_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H1ce zenon_H1cf zenon_H3 zenon_H62 zenon_H12d zenon_H10 zenon_H163 zenon_H164 zenon_H165 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H59 zenon_H5a zenon_H5b zenon_H250 zenon_H303 zenon_H53. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L505_); trivial. % 1.13/1.33 apply (zenon_L506_); trivial. % 1.13/1.33 (* end of lemma zenon_L507_ *) % 1.13/1.33 assert (zenon_L508_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H16e zenon_H260 zenon_H230 zenon_H109 zenon_H44 zenon_H43 zenon_H42 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H62 zenon_H3 zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.33 apply (zenon_L507_); trivial. % 1.13/1.33 apply (zenon_L193_); trivial. % 1.13/1.33 (* end of lemma zenon_L508_ *) % 1.13/1.33 assert (zenon_L509_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H53 zenon_H3e zenon_H3 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_Haf zenon_H12d. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.33 apply (zenon_L503_); trivial. % 1.13/1.33 apply (zenon_L14_); trivial. % 1.13/1.33 (* end of lemma zenon_L509_ *) % 1.13/1.33 assert (zenon_L510_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H16e zenon_H134 zenon_H16c zenon_H9f zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cf zenon_H1ce zenon_H1cc zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H3 zenon_H3e zenon_H53. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L509_); trivial. % 1.13/1.33 apply (zenon_L195_); trivial. % 1.13/1.33 (* end of lemma zenon_L510_ *) % 1.13/1.33 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hdd zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H1cc zenon_H4b zenon_H59 zenon_H5a zenon_H5b zenon_H1ce zenon_H1cf zenon_H160 zenon_H14c zenon_H14b zenon_H14a. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.33 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.13/1.33 apply (zenon_L189_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.33 apply (zenon_L170_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.33 apply (zenon_L76_); trivial. % 1.13/1.33 apply (zenon_L51_); trivial. % 1.13/1.33 (* end of lemma zenon_L511_ *) % 1.13/1.33 assert (zenon_L512_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H4d zenon_H134 zenon_H1cc zenon_H227 zenon_H59 zenon_H5a zenon_H5b zenon_H1ce zenon_H1cf zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H12d zenon_H2fa zenon_H20 zenon_H21 zenon_H22 zenon_H2ee zenon_H2f0 zenon_H1d0 zenon_H1c1 zenon_H232. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.33 apply (zenon_L171_); trivial. % 1.13/1.33 apply (zenon_L484_); trivial. % 1.13/1.33 apply (zenon_L511_); trivial. % 1.13/1.33 (* end of lemma zenon_L512_ *) % 1.13/1.33 assert (zenon_L513_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H13d zenon_H52 zenon_H134 zenon_H1cc zenon_H227 zenon_H59 zenon_H5a zenon_H5b zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H232 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L145_); trivial. % 1.13/1.33 apply (zenon_L512_); trivial. % 1.13/1.33 (* end of lemma zenon_L513_ *) % 1.13/1.33 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_H232 zenon_H53 zenon_H1e3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H260 zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H252 zenon_H1cc zenon_H4b zenon_H160 zenon_H230 zenon_H109 zenon_H12c zenon_H227 zenon_Hcd zenon_H134 zenon_H3 zenon_H62 zenon_H301 zenon_H303 zenon_H171 zenon_H52. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L145_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L479_); trivial. % 1.13/1.33 apply (zenon_L191_); trivial. % 1.13/1.33 apply (zenon_L193_); trivial. % 1.13/1.33 apply (zenon_L508_); trivial. % 1.13/1.33 apply (zenon_L513_); trivial. % 1.13/1.33 (* end of lemma zenon_L514_ *) % 1.13/1.33 assert (zenon_L515_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H1cc zenon_H4b zenon_H157 zenon_H1ce zenon_H1cf zenon_H160 zenon_H14c zenon_H14b zenon_H14a zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.33 apply (zenon_L155_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.33 apply (zenon_L76_); trivial. % 1.13/1.33 apply (zenon_L489_); trivial. % 1.13/1.33 (* end of lemma zenon_L515_ *) % 1.13/1.33 assert (zenon_L516_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c0_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H4d zenon_H134 zenon_H1cc zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1cf zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H112 zenon_H227. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.13/1.33 apply (zenon_L515_); trivial. % 1.13/1.33 apply (zenon_L156_); trivial. % 1.13/1.33 apply (zenon_L361_); trivial. % 1.13/1.33 (* end of lemma zenon_L516_ *) % 1.13/1.33 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H135 zenon_H52 zenon_H134 zenon_H1cc zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L202_); trivial. % 1.13/1.33 apply (zenon_L516_); trivial. % 1.13/1.33 (* end of lemma zenon_L517_ *) % 1.13/1.33 assert (zenon_L518_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a358)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H260 zenon_Hcd zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H155 zenon_H153 zenon_H14c zenon_H14b zenon_H14a zenon_H252 zenon_H42 zenon_H43 zenon_H44 zenon_H1cc zenon_H1ce zenon_H1cf zenon_H4b zenon_H160 zenon_H230 zenon_H109 zenon_H1d0 zenon_H227 zenon_H134. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L481_); trivial. % 1.13/1.33 apply (zenon_L191_); trivial. % 1.13/1.33 apply (zenon_L193_); trivial. % 1.13/1.33 (* end of lemma zenon_L518_ *) % 1.13/1.33 assert (zenon_L519_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hcd zenon_H297 zenon_H205 zenon_H165 zenon_H164 zenon_H163 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H12d zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.33 apply (zenon_L45_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_He6 | zenon_intro zenon_H298 ]. % 1.13/1.33 apply (zenon_L485_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H162 | zenon_intro zenon_H206 ]. % 1.13/1.33 apply (zenon_L81_); trivial. % 1.13/1.33 exact (zenon_H205 zenon_H206). % 1.13/1.33 (* end of lemma zenon_L519_ *) % 1.13/1.33 assert (zenon_L520_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c0_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H13a zenon_H52 zenon_H134 zenon_H1cc zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H112 zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L145_); trivial. % 1.13/1.33 apply (zenon_L516_); trivial. % 1.13/1.33 (* end of lemma zenon_L520_ *) % 1.13/1.33 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H135 zenon_H136 zenon_H1e3 zenon_H54 zenon_H53 zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H227 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1cc zenon_H134 zenon_H52. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L165_); trivial. % 1.13/1.33 apply (zenon_L516_); trivial. % 1.13/1.33 apply (zenon_L520_); trivial. % 1.13/1.33 (* end of lemma zenon_L521_ *) % 1.13/1.33 assert (zenon_L522_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H19f zenon_H140 zenon_H148 zenon_H232 zenon_H1c1 zenon_H109 zenon_H230 zenon_H227 zenon_H54 zenon_H53 zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H76 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H1e3 zenon_H260 zenon_Hcd zenon_H12c zenon_Hb1 zenon_H155 zenon_H252 zenon_H1cc zenon_H297 zenon_H205 zenon_H16c zenon_H171 zenon_H137 zenon_H136. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.33 apply (zenon_L178_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.33 apply (zenon_L487_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L145_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.33 apply (zenon_L518_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L519_); trivial. % 1.13/1.33 apply (zenon_L195_); trivial. % 1.13/1.33 apply (zenon_L521_); trivial. % 1.13/1.33 (* end of lemma zenon_L522_ *) % 1.13/1.33 assert (zenon_L523_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp20)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp0)) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hc7 zenon_H227 zenon_H20b zenon_H20a zenon_H209 zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H153 zenon_H14a zenon_H14b zenon_H14c zenon_H12c zenon_H1cf zenon_H1d0 zenon_H1ce zenon_Hd4 zenon_Hd3 zenon_H155 zenon_H109. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.13/1.33 apply (zenon_L141_); trivial. % 1.13/1.33 apply (zenon_L190_); trivial. % 1.13/1.33 (* end of lemma zenon_L523_ *) % 1.13/1.33 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(hskp20)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hdd zenon_Hcd zenon_H227 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H12c zenon_H109 zenon_H230 zenon_H20b zenon_H20a zenon_H209 zenon_H44 zenon_H43 zenon_H42 zenon_H252 zenon_H250 zenon_H14a zenon_H14b zenon_H14c zenon_H153 zenon_H155. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.33 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.33 apply (zenon_L188_); trivial. % 1.13/1.33 apply (zenon_L523_); trivial. % 1.13/1.33 (* end of lemma zenon_L524_ *) % 1.13/1.33 assert (zenon_L525_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp15)) -> (~(hskp11)) -> ((hskp15)\/((hskp11)\/(hskp16))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H137 zenon_H52 zenon_H171 zenon_H16c zenon_H9f zenon_H160 zenon_H4b zenon_H1cc zenon_H301 zenon_H3e zenon_H134 zenon_H227 zenon_H109 zenon_H230 zenon_H20b zenon_H20a zenon_H209 zenon_H252 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_Hb1 zenon_H12c zenon_Hcd zenon_H260 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53 zenon_H1 zenon_H3 zenon_H7. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.33 apply (zenon_L4_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L145_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L477_); trivial. % 1.13/1.33 apply (zenon_L524_); trivial. % 1.13/1.33 apply (zenon_L193_); trivial. % 1.13/1.33 apply (zenon_L510_); trivial. % 1.13/1.33 (* end of lemma zenon_L525_ *) % 1.13/1.33 assert (zenon_L526_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H148 zenon_H232 zenon_H1c1 zenon_H109 zenon_H230 zenon_H227 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.33 apply (zenon_L221_); trivial. % 1.13/1.33 apply (zenon_L177_); trivial. % 1.13/1.33 (* end of lemma zenon_L526_ *) % 1.13/1.33 assert (zenon_L527_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H19f zenon_H140 zenon_H148 zenon_H232 zenon_H1c1 zenon_H109 zenon_H230 zenon_H227 zenon_H76 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H54 zenon_H53 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H1e3 zenon_H260 zenon_Hcd zenon_H12c zenon_Hb1 zenon_H155 zenon_H252 zenon_H1cc zenon_H16c zenon_H171 zenon_H137 zenon_H136. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.33 apply (zenon_L526_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.33 apply (zenon_L487_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L145_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.33 apply (zenon_L518_); trivial. % 1.13/1.33 apply (zenon_L277_); trivial. % 1.13/1.33 apply (zenon_L521_); trivial. % 1.13/1.33 (* end of lemma zenon_L527_ *) % 1.13/1.33 assert (zenon_L528_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H4d zenon_H171 zenon_H53 zenon_H303 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134 zenon_H62 zenon_H3 zenon_H5b zenon_H5a zenon_H59 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2cb zenon_H109 zenon_H230 zenon_H260. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.33 apply (zenon_L372_); trivial. % 1.13/1.33 apply (zenon_L508_); trivial. % 1.13/1.33 (* end of lemma zenon_L528_ *) % 1.13/1.33 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H145 zenon_H52 zenon_H171 zenon_H303 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134 zenon_H62 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2cb zenon_H109 zenon_H230 zenon_H260 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L202_); trivial. % 1.13/1.33 apply (zenon_L528_); trivial. % 1.13/1.33 (* end of lemma zenon_L529_ *) % 1.13/1.33 assert (zenon_L530_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H148 zenon_H171 zenon_H303 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134 zenon_H62 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2cb zenon_H109 zenon_H230 zenon_H260 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_He2 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.33 apply (zenon_L229_); trivial. % 1.13/1.33 apply (zenon_L529_); trivial. % 1.13/1.33 (* end of lemma zenon_L530_ *) % 1.13/1.33 assert (zenon_L531_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c3_1 (a355)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H1c1 zenon_H22 zenon_H21 zenon_H20 zenon_H2f0 zenon_H111 zenon_H2ee zenon_H10 zenon_H1b8 zenon_H1b9 zenon_H1ba. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.13/1.33 apply (zenon_L63_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.13/1.33 apply (zenon_L472_); trivial. % 1.13/1.33 apply (zenon_L112_); trivial. % 1.13/1.33 (* end of lemma zenon_L531_ *) % 1.13/1.33 assert (zenon_L532_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H12d zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H20 zenon_H21 zenon_H22 zenon_H1c1 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.33 apply (zenon_L531_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.33 apply (zenon_L473_); trivial. % 1.13/1.33 exact (zenon_Haf zenon_Hb0). % 1.13/1.33 (* end of lemma zenon_L532_ *) % 1.13/1.33 assert (zenon_L533_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp3)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp20)) -> (ndr1_0) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (c0_1 (a373)) -> (c3_1 (a373)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp0)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H227 zenon_H4b zenon_H172 zenon_H160 zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_H153 zenon_H10 zenon_H14a zenon_H14b zenon_H14c zenon_H12c zenon_H1cf zenon_H1d0 zenon_H1ce zenon_Hd4 zenon_Hd3 zenon_Hbe zenon_Hc0 zenon_H155 zenon_H109. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.13/1.33 apply (zenon_L155_); trivial. % 1.13/1.33 apply (zenon_L190_); trivial. % 1.13/1.33 (* end of lemma zenon_L533_ *) % 1.13/1.33 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a379))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c1_1 (a379))) -> (c2_1 (a379)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hdd zenon_H53 zenon_H2b6 zenon_H92 zenon_H21 zenon_H155 zenon_H153 zenon_H14c zenon_H14b zenon_H14a zenon_H250 zenon_H252 zenon_H42 zenon_H43 zenon_H44 zenon_H227 zenon_H1d0 zenon_H12c zenon_H109 zenon_H230 zenon_H1ce zenon_H1cf zenon_H4b zenon_H160 zenon_H21a zenon_Hdb zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H20 zenon_H22 zenon_H1f zenon_H232 zenon_Hcd. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.33 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.33 apply (zenon_L188_); trivial. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.33 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.33 apply (zenon_L15_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.33 apply (zenon_L533_); trivial. % 1.13/1.33 apply (zenon_L235_); trivial. % 1.13/1.33 apply (zenon_L333_); trivial. % 1.13/1.33 (* end of lemma zenon_L534_ *) % 1.13/1.33 assert (zenon_L535_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (ndr1_0) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a358)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((hskp30)\/(hskp22))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(hskp20)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp17)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H260 zenon_H12d zenon_H2fa zenon_H10 zenon_H20 zenon_H21 zenon_H22 zenon_H2ee zenon_H2f0 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_Hcd zenon_H232 zenon_H1f zenon_Hdb zenon_H21a zenon_H160 zenon_H4b zenon_H1cf zenon_H1ce zenon_H230 zenon_H109 zenon_H12c zenon_H1d0 zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H252 zenon_H14a zenon_H14b zenon_H14c zenon_H153 zenon_H155 zenon_H92 zenon_H2b6 zenon_H53 zenon_H134. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.33 apply (zenon_L532_); trivial. % 1.13/1.33 apply (zenon_L534_); trivial. % 1.13/1.33 apply (zenon_L193_); trivial. % 1.13/1.33 (* end of lemma zenon_L535_ *) % 1.13/1.33 assert (zenon_L536_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H52 zenon_H21a zenon_Hdb zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H234 zenon_H1 zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H53. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.33 apply (zenon_L383_); trivial. % 1.13/1.33 apply (zenon_L167_); trivial. % 1.13/1.33 (* end of lemma zenon_L536_ *) % 1.13/1.33 assert (zenon_L537_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a376))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H158 zenon_H10 zenon_H59 zenon_H111 zenon_H5a zenon_H5b. % 1.13/1.33 generalize (zenon_H158 (a376)). zenon_intro zenon_H236. % 1.13/1.33 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_Hf | zenon_intro zenon_H237 ]. % 1.13/1.33 exact (zenon_Hf zenon_H10). % 1.13/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H5f | zenon_intro zenon_H238 ]. % 1.13/1.33 exact (zenon_H59 zenon_H5f). % 1.13/1.33 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H239 | zenon_intro zenon_H60 ]. % 1.13/1.33 generalize (zenon_H111 (a376)). zenon_intro zenon_H305. % 1.13/1.33 apply (zenon_imply_s _ _ zenon_H305); [ zenon_intro zenon_Hf | zenon_intro zenon_H306 ]. % 1.13/1.33 exact (zenon_Hf zenon_H10). % 1.13/1.33 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H5f | zenon_intro zenon_H307 ]. % 1.13/1.33 exact (zenon_H59 zenon_H5f). % 1.13/1.33 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H61 | zenon_intro zenon_H23d ]. % 1.13/1.33 exact (zenon_H5a zenon_H61). % 1.13/1.33 exact (zenon_H23d zenon_H239). % 1.13/1.33 exact (zenon_H60 zenon_H5b). % 1.13/1.33 (* end of lemma zenon_L537_ *) % 1.13/1.33 assert (zenon_L538_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp8)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H308 zenon_H5b zenon_H5a zenon_H111 zenon_H59 zenon_H10 zenon_H9d zenon_H1b3. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H158 | zenon_intro zenon_H309 ]. % 1.13/1.33 apply (zenon_L537_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H9e | zenon_intro zenon_H1b4 ]. % 1.13/1.33 exact (zenon_H9d zenon_H9e). % 1.13/1.33 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.33 (* end of lemma zenon_L538_ *) % 1.13/1.33 assert (zenon_L539_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp22)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.33 do 0 intro. intros zenon_Hd0 zenon_H2cb zenon_H153 zenon_H250 zenon_H308 zenon_H1b3 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H9 zenon_H68 zenon_H273. % 1.13/1.33 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.13/1.33 apply (zenon_L538_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.13/1.33 exact (zenon_H9 zenon_Ha). % 1.13/1.33 exact (zenon_H68 zenon_H69). % 1.13/1.33 apply (zenon_L384_); trivial. % 1.13/1.33 (* end of lemma zenon_L539_ *) % 1.13/1.33 assert (zenon_L540_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H16c zenon_H7a zenon_H79 zenon_H88 zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_H9f. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.13/1.33 apply (zenon_L303_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.13/1.33 apply (zenon_L81_); trivial. % 1.13/1.33 exact (zenon_H9f zenon_Ha0). % 1.13/1.33 (* end of lemma zenon_L540_ *) % 1.13/1.33 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp12)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp7)) -> False). % 1.13/1.33 do 0 intro. intros zenon_H84 zenon_H17e zenon_H175 zenon_H174 zenon_H173 zenon_H9f zenon_H163 zenon_H164 zenon_H165 zenon_H16c zenon_H17c. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.13/1.33 apply (zenon_L88_); trivial. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.13/1.33 apply (zenon_L540_); trivial. % 1.13/1.33 exact (zenon_H17c zenon_H17d). % 1.13/1.33 (* end of lemma zenon_L541_ *) % 1.13/1.33 assert (zenon_L542_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.33 do 0 intro. intros zenon_H16e zenon_H87 zenon_H17e zenon_H17c zenon_H9f zenon_H16c zenon_H175 zenon_H174 zenon_H173 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.33 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.33 apply (zenon_L25_); trivial. % 1.13/1.33 apply (zenon_L541_); trivial. % 1.13/1.33 (* end of lemma zenon_L542_ *) % 1.13/1.34 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H145 zenon_H141 zenon_H21a zenon_Ha1 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H1e2 zenon_H1e3 zenon_H4b zenon_H1ff zenon_H203 zenon_H52 zenon_H171 zenon_H87 zenon_H17e zenon_H17c zenon_H9f zenon_H16c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H54 zenon_H62 zenon_H273 zenon_H68 zenon_H1b3 zenon_H308 zenon_H2cb zenon_Hd0 zenon_H109 zenon_H230 zenon_H260 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53 zenon_H95 zenon_H98. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.34 apply (zenon_L202_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.34 apply (zenon_L539_); trivial. % 1.13/1.34 apply (zenon_L20_); trivial. % 1.13/1.34 apply (zenon_L193_); trivial. % 1.13/1.34 apply (zenon_L542_); trivial. % 1.13/1.34 apply (zenon_L35_); trivial. % 1.13/1.34 apply (zenon_L152_); trivial. % 1.13/1.34 (* end of lemma zenon_L543_ *) % 1.13/1.34 assert (zenon_L544_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp30)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H30a zenon_H7b zenon_H7a zenon_H79 zenon_H10 zenon_H9d zenon_Had. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H78 | zenon_intro zenon_H30b ]. % 1.13/1.34 apply (zenon_L28_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H9e | zenon_intro zenon_Hae ]. % 1.13/1.34 exact (zenon_H9d zenon_H9e). % 1.13/1.34 exact (zenon_Had zenon_Hae). % 1.13/1.34 (* end of lemma zenon_L544_ *) % 1.13/1.34 assert (zenon_L545_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (ndr1_0) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp23)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hd0 zenon_H21a zenon_Hdb zenon_H44 zenon_H43 zenon_H42 zenon_H30a zenon_H7b zenon_H7a zenon_H79 zenon_H10 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_Haf zenon_H12d zenon_Hcd. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.34 apply (zenon_L544_); trivial. % 1.13/1.34 apply (zenon_L476_); trivial. % 1.13/1.34 apply (zenon_L150_); trivial. % 1.13/1.34 (* end of lemma zenon_L545_ *) % 1.13/1.34 assert (zenon_L546_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hc7 zenon_H273 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H9 zenon_H68. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.13/1.34 apply (zenon_L475_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.13/1.34 exact (zenon_H9 zenon_Ha). % 1.13/1.34 exact (zenon_H68 zenon_H69). % 1.13/1.34 (* end of lemma zenon_L546_ *) % 1.13/1.34 assert (zenon_L547_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp24)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> (~(hskp29)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hcd zenon_H273 zenon_H68 zenon_H9 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H79 zenon_H7a zenon_H7b zenon_H9d zenon_H30a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.34 apply (zenon_L544_); trivial. % 1.13/1.34 apply (zenon_L546_); trivial. % 1.13/1.34 (* end of lemma zenon_L547_ *) % 1.13/1.34 assert (zenon_L548_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp22)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (ndr1_0) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp24)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hd0 zenon_H2cb zenon_H153 zenon_H250 zenon_H30a zenon_H7b zenon_H7a zenon_H79 zenon_H10 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H9 zenon_H68 zenon_H273 zenon_Hcd. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.34 apply (zenon_L547_); trivial. % 1.13/1.34 apply (zenon_L384_); trivial. % 1.13/1.34 (* end of lemma zenon_L548_ *) % 1.13/1.34 assert (zenon_L549_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (c2_1 (a379)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a379))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1f zenon_H14 zenon_H13 zenon_H12 zenon_H22 zenon_H1a2 zenon_H20 zenon_H10 zenon_H1b. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.34 apply (zenon_L9_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.34 apply (zenon_L233_); trivial. % 1.13/1.34 exact (zenon_H1b zenon_H1c). % 1.13/1.34 (* end of lemma zenon_L549_ *) % 1.13/1.34 assert (zenon_L550_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (c2_1 (a379)) -> (~(c1_1 (a379))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H232 zenon_H44 zenon_H43 zenon_H42 zenon_H175 zenon_H174 zenon_H173 zenon_H1f zenon_H14 zenon_H13 zenon_H12 zenon_H22 zenon_H20 zenon_H10 zenon_H1b. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.34 apply (zenon_L15_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.34 apply (zenon_L88_); trivial. % 1.13/1.34 apply (zenon_L549_); trivial. % 1.13/1.34 (* end of lemma zenon_L550_ *) % 1.13/1.34 assert (zenon_L551_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a379))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a379)) -> (~(c1_1 (a379))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H55 zenon_H53 zenon_H2b6 zenon_H92 zenon_H21 zenon_Hd3 zenon_Hd4 zenon_H12c zenon_H42 zenon_H43 zenon_H44 zenon_H173 zenon_H174 zenon_H175 zenon_H1f zenon_H22 zenon_H20 zenon_H232. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.34 apply (zenon_L550_); trivial. % 1.13/1.34 apply (zenon_L333_); trivial. % 1.13/1.34 (* end of lemma zenon_L551_ *) % 1.13/1.34 assert (zenon_L552_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H134 zenon_H54 zenon_H53 zenon_H2b6 zenon_H92 zenon_H173 zenon_H174 zenon_H175 zenon_H1f zenon_H232 zenon_H273 zenon_H68 zenon_H250 zenon_H153 zenon_H2cb zenon_Hcd zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H79 zenon_H7a zenon_H7b zenon_H30a zenon_H42 zenon_H43 zenon_H44 zenon_Hdb zenon_H21a zenon_Hd0. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L545_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.34 apply (zenon_L548_); trivial. % 1.13/1.34 apply (zenon_L551_); trivial. % 1.13/1.34 (* end of lemma zenon_L552_ *) % 1.13/1.34 assert (zenon_L553_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp17)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H87 zenon_H260 zenon_H230 zenon_H109 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H44 zenon_H43 zenon_H42 zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H12d zenon_Hcd zenon_H2cb zenon_H153 zenon_H273 zenon_H232 zenon_H1f zenon_H175 zenon_H174 zenon_H173 zenon_H92 zenon_H2b6 zenon_H53 zenon_H54 zenon_H134 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.34 apply (zenon_L25_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.34 apply (zenon_L552_); trivial. % 1.13/1.34 apply (zenon_L193_); trivial. % 1.13/1.34 (* end of lemma zenon_L553_ *) % 1.13/1.34 assert (zenon_L554_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp0)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H232 zenon_H175 zenon_H174 zenon_H173 zenon_H230 zenon_H44 zenon_H43 zenon_H42 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H1c1 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H12d zenon_H109. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.34 apply (zenon_L15_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.34 apply (zenon_L88_); trivial. % 1.13/1.34 apply (zenon_L500_); trivial. % 1.13/1.34 (* end of lemma zenon_L554_ *) % 1.13/1.34 assert (zenon_L555_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H136 zenon_H137 zenon_Hb1 zenon_H12c zenon_H1b1 zenon_Hcd zenon_H10c zenon_H98 zenon_H95 zenon_H87 zenon_H53 zenon_H17e zenon_H17c zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H68 zenon_H6a zenon_H232 zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H109 zenon_H230 zenon_H2a1 zenon_H6d zenon_H6e zenon_H6f zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H52 zenon_H203 zenon_H1ff zenon_H4b zenon_H1e3 zenon_H1e2 zenon_Hdb zenon_H1f1 zenon_H204 zenon_Ha1 zenon_H9f zenon_H21a zenon_Hd0 zenon_H141. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.34 apply (zenon_L404_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.34 apply (zenon_L25_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L554_); trivial. % 1.13/1.34 apply (zenon_L493_); trivial. % 1.13/1.34 apply (zenon_L35_); trivial. % 1.13/1.34 apply (zenon_L152_); trivial. % 1.13/1.34 apply (zenon_L488_); trivial. % 1.13/1.34 (* end of lemma zenon_L555_ *) % 1.13/1.34 assert (zenon_L556_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H135 zenon_H137 zenon_Hb1 zenon_H12c zenon_Hcd zenon_H87 zenon_H134 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H23 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52 zenon_H98. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_L494_); trivial. % 1.13/1.34 apply (zenon_L215_); trivial. % 1.13/1.34 apply (zenon_L486_); trivial. % 1.13/1.34 (* end of lemma zenon_L556_ *) % 1.13/1.34 assert (zenon_L557_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c2_1 (a364)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H141 zenon_Hd0 zenon_H21a zenon_H9f zenon_Ha1 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H1e2 zenon_H1e3 zenon_H4b zenon_H1ff zenon_H203 zenon_H52 zenon_H232 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H6a zenon_H68 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_He2 zenon_H17c zenon_H17e zenon_H53 zenon_H87 zenon_H95 zenon_H98. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_L405_); trivial. % 1.13/1.34 apply (zenon_L35_); trivial. % 1.13/1.34 apply (zenon_L152_); trivial. % 1.13/1.34 (* end of lemma zenon_L557_ *) % 1.13/1.34 assert (zenon_L558_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a364))) -> (~(c1_1 (a364))) -> (c2_1 (a364)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H136 zenon_H137 zenon_Hb1 zenon_H1c1 zenon_H12c zenon_H1b1 zenon_Hcd zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H6f zenon_H6e zenon_H6d zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H98 zenon_H95 zenon_H87 zenon_H53 zenon_H17e zenon_H17c zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H68 zenon_H6a zenon_H2d6 zenon_H2d7 zenon_H2d8 zenon_H232 zenon_H52 zenon_H203 zenon_H1ff zenon_H4b zenon_H1e3 zenon_H1e2 zenon_Hdb zenon_H1f1 zenon_H204 zenon_Ha1 zenon_H9f zenon_H21a zenon_Hd0 zenon_H141. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.34 apply (zenon_L557_); trivial. % 1.13/1.34 apply (zenon_L488_); trivial. % 1.13/1.34 (* end of lemma zenon_L558_ *) % 1.13/1.34 assert (zenon_L559_ : ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (c0_1 (a355)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H11 zenon_H2f0 zenon_H2ee zenon_H111 zenon_H2fa zenon_H10 zenon_H5. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.13/1.34 apply (zenon_L390_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.13/1.34 apply (zenon_L474_); trivial. % 1.13/1.34 exact (zenon_H5 zenon_H6). % 1.13/1.34 (* end of lemma zenon_L559_ *) % 1.13/1.34 assert (zenon_L560_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp16)) -> (ndr1_0) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H273 zenon_H5 zenon_H10 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H11 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H9 zenon_H68. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.13/1.34 apply (zenon_L559_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.13/1.34 exact (zenon_H9 zenon_Ha). % 1.13/1.34 exact (zenon_H68 zenon_H69). % 1.13/1.34 (* end of lemma zenon_L560_ *) % 1.13/1.34 assert (zenon_L561_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H62 zenon_H68 zenon_H9 zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H5 zenon_H273 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H3. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 1.13/1.34 apply (zenon_L560_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 1.13/1.34 apply (zenon_L19_); trivial. % 1.13/1.34 exact (zenon_H3 zenon_H4). % 1.13/1.34 (* end of lemma zenon_L561_ *) % 1.13/1.34 assert (zenon_L562_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H54 zenon_H273 zenon_H68 zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H59 zenon_H5a zenon_H5b zenon_H3 zenon_H62. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.34 apply (zenon_L561_); trivial. % 1.13/1.34 apply (zenon_L20_); trivial. % 1.13/1.34 (* end of lemma zenon_L562_ *) % 1.13/1.34 assert (zenon_L563_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H234 zenon_H1 zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H53. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.34 apply (zenon_L383_); trivial. % 1.13/1.34 apply (zenon_L214_); trivial. % 1.13/1.34 (* end of lemma zenon_L563_ *) % 1.13/1.34 assert (zenon_L564_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H53 zenon_H303 zenon_H250 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.34 apply (zenon_L126_); trivial. % 1.13/1.34 apply (zenon_L504_); trivial. % 1.13/1.34 (* end of lemma zenon_L564_ *) % 1.13/1.34 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hdd zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H256 zenon_H255 zenon_H254. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.34 apply (zenon_L28_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.34 apply (zenon_L192_); trivial. % 1.13/1.34 apply (zenon_L51_); trivial. % 1.13/1.34 (* end of lemma zenon_L565_ *) % 1.13/1.34 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H25d zenon_H134 zenon_H79 zenon_H7a zenon_H7b zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.34 apply (zenon_L28_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.34 apply (zenon_L192_); trivial. % 1.13/1.34 apply (zenon_L489_); trivial. % 1.13/1.34 apply (zenon_L565_); trivial. % 1.13/1.34 (* end of lemma zenon_L566_ *) % 1.13/1.34 assert (zenon_L567_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.34 apply (zenon_L564_); trivial. % 1.13/1.34 apply (zenon_L566_); trivial. % 1.13/1.34 (* end of lemma zenon_L567_ *) % 1.13/1.34 assert (zenon_L568_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.34 apply (zenon_L25_); trivial. % 1.13/1.34 apply (zenon_L567_); trivial. % 1.13/1.34 (* end of lemma zenon_L568_ *) % 1.13/1.34 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c2_1 (a364)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H13a zenon_H52 zenon_H232 zenon_H2d8 zenon_H2d7 zenon_H2d6 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.34 apply (zenon_L145_); trivial. % 1.13/1.34 apply (zenon_L397_); trivial. % 1.13/1.34 (* end of lemma zenon_L569_ *) % 1.13/1.34 assert (zenon_L570_ : ((ndr1_0)/\((c2_1 (a364))/\((~(c0_1 (a364)))/\(~(c1_1 (a364)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H30c zenon_H217 zenon_H136 zenon_H1e3 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H212 zenon_H4b zenon_H160 zenon_H227 zenon_H148 zenon_H52 zenon_H232 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H207 zenon_H19d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.13/1.34 apply (zenon_L401_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.34 apply (zenon_L244_); trivial. % 1.13/1.34 apply (zenon_L569_); trivial. % 1.13/1.34 (* end of lemma zenon_L570_ *) % 1.13/1.34 assert (zenon_L571_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.34 apply (zenon_L106_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.34 apply (zenon_L473_); trivial. % 1.13/1.34 exact (zenon_Haf zenon_Hb0). % 1.13/1.34 (* end of lemma zenon_L571_ *) % 1.13/1.34 assert (zenon_L572_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H84 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L571_); trivial. % 1.13/1.34 apply (zenon_L493_); trivial. % 1.13/1.34 (* end of lemma zenon_L572_ *) % 1.13/1.34 assert (zenon_L573_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H87 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.34 apply (zenon_L25_); trivial. % 1.13/1.34 apply (zenon_L572_); trivial. % 1.13/1.34 (* end of lemma zenon_L573_ *) % 1.13/1.34 assert (zenon_L574_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> (~(hskp17)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H98 zenon_H95 zenon_H92 zenon_H6a zenon_H68 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H87. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_L573_); trivial. % 1.13/1.34 apply (zenon_L35_); trivial. % 1.13/1.34 (* end of lemma zenon_L574_ *) % 1.13/1.34 assert (zenon_L575_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H141 zenon_H52 zenon_Hd0 zenon_H21a zenon_H9f zenon_Ha1 zenon_H204 zenon_H1f1 zenon_Hdb zenon_H23 zenon_H1e2 zenon_H1e3 zenon_H53 zenon_H4b zenon_H1ff zenon_H203 zenon_H87 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H68 zenon_H6a zenon_H95 zenon_H98. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.34 apply (zenon_L574_); trivial. % 1.13/1.34 apply (zenon_L152_); trivial. % 1.13/1.34 (* end of lemma zenon_L575_ *) % 1.13/1.34 assert (zenon_L576_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H98 zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H5 zenon_H261 zenon_H53 zenon_H6a zenon_H68 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H87. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_L573_); trivial. % 1.13/1.34 apply (zenon_L215_); trivial. % 1.13/1.34 (* end of lemma zenon_L576_ *) % 1.13/1.34 assert (zenon_L577_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H13d zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L571_); trivial. % 1.13/1.34 apply (zenon_L219_); trivial. % 1.13/1.34 (* end of lemma zenon_L577_ *) % 1.13/1.34 assert (zenon_L578_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c1_1 X109))))))\/((hskp29)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H19f zenon_H140 zenon_H137 zenon_H261 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H98 zenon_H95 zenon_H6a zenon_H68 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H87 zenon_H203 zenon_H1ff zenon_H4b zenon_H53 zenon_H1e3 zenon_H1e2 zenon_H23 zenon_Hdb zenon_H1f1 zenon_H204 zenon_Ha1 zenon_H21a zenon_Hd0 zenon_H52 zenon_H141. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.34 apply (zenon_L575_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.34 apply (zenon_L576_); trivial. % 1.13/1.34 apply (zenon_L577_); trivial. % 1.13/1.34 (* end of lemma zenon_L578_ *) % 1.13/1.34 assert (zenon_L579_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hdd zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6d zenon_H6e zenon_H6f zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.34 apply (zenon_L28_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.34 apply (zenon_L197_); trivial. % 1.13/1.34 apply (zenon_L51_); trivial. % 1.13/1.34 (* end of lemma zenon_L579_ *) % 1.13/1.34 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H84 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L571_); trivial. % 1.13/1.34 apply (zenon_L579_); trivial. % 1.13/1.34 (* end of lemma zenon_L580_ *) % 1.13/1.34 assert (zenon_L581_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H87 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.34 apply (zenon_L25_); trivial. % 1.13/1.34 apply (zenon_L580_); trivial. % 1.13/1.34 (* end of lemma zenon_L581_ *) % 1.13/1.34 assert (zenon_L582_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H19f zenon_H137 zenon_H87 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H23 zenon_H109 zenon_H230 zenon_H52 zenon_H98. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_L581_); trivial. % 1.13/1.34 apply (zenon_L239_); trivial. % 1.13/1.34 apply (zenon_L113_); trivial. % 1.13/1.34 (* end of lemma zenon_L582_ *) % 1.13/1.34 assert (zenon_L583_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H4d zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H173 zenon_H174 zenon_H175 zenon_H230 zenon_H109 zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2fa zenon_H12d zenon_H232. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L554_); trivial. % 1.13/1.34 apply (zenon_L122_); trivial. % 1.13/1.34 (* end of lemma zenon_L583_ *) % 1.13/1.34 assert (zenon_L584_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H10 zenon_H12d. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L479_); trivial. % 1.13/1.34 apply (zenon_L122_); trivial. % 1.13/1.34 (* end of lemma zenon_L584_ *) % 1.13/1.34 assert (zenon_L585_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H13d zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_Hcd. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L481_); trivial. % 1.13/1.34 apply (zenon_L122_); trivial. % 1.13/1.34 (* end of lemma zenon_L585_ *) % 1.13/1.34 assert (zenon_L586_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H13a zenon_H137 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12c zenon_Hcd zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.34 apply (zenon_L584_); trivial. % 1.13/1.34 apply (zenon_L585_); trivial. % 1.13/1.34 (* end of lemma zenon_L586_ *) % 1.13/1.34 assert (zenon_L587_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H19f zenon_H136 zenon_H137 zenon_Hb1 zenon_H12c zenon_Hcd zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H173 zenon_H174 zenon_H175 zenon_H1cc zenon_H134 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H76 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H212 zenon_H53 zenon_H54 zenon_H227 zenon_H230 zenon_H109 zenon_H1c1 zenon_H232 zenon_H148. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.34 apply (zenon_L178_); trivial. % 1.13/1.34 apply (zenon_L586_); trivial. % 1.13/1.34 (* end of lemma zenon_L587_ *) % 1.13/1.34 assert (zenon_L588_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H273 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H10 zenon_H102 zenon_H9 zenon_H68. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.13/1.34 apply (zenon_L474_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.13/1.34 exact (zenon_H9 zenon_Ha). % 1.13/1.34 exact (zenon_H68 zenon_H69). % 1.13/1.34 (* end of lemma zenon_L588_ *) % 1.13/1.34 assert (zenon_L589_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(hskp6)) -> (~(hskp24)) -> (ndr1_0) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp4)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1a6 zenon_H8b zenon_H8a zenon_H89 zenon_H68 zenon_H9 zenon_H10 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H273 zenon_Hb. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.34 apply (zenon_L33_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.34 apply (zenon_L588_); trivial. % 1.13/1.34 exact (zenon_Hb zenon_Hc). % 1.13/1.34 (* end of lemma zenon_L589_ *) % 1.13/1.34 assert (zenon_L590_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp21)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_H64 zenon_Hf1 zenon_H10 zenon_H89 zenon_H8a zenon_H8b zenon_H273 zenon_H68 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.34 apply (zenon_L589_); trivial. % 1.13/1.34 apply (zenon_L251_); trivial. % 1.13/1.34 (* end of lemma zenon_L590_ *) % 1.13/1.34 assert (zenon_L591_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H98 zenon_H1a6 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H273 zenon_Hf1 zenon_H281 zenon_H280 zenon_H27f zenon_H6a zenon_H68 zenon_Hd zenon_Hb zenon_H3 zenon_H82 zenon_H54 zenon_H87. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_L87_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.34 apply (zenon_L590_); trivial. % 1.13/1.34 apply (zenon_L86_); trivial. % 1.13/1.34 (* end of lemma zenon_L591_ *) % 1.13/1.34 assert (zenon_L592_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H94 zenon_H52 zenon_H9b zenon_H99 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_H273 zenon_H68 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H87. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.34 apply (zenon_L590_); trivial. % 1.13/1.34 apply (zenon_L30_); trivial. % 1.13/1.34 apply (zenon_L38_); trivial. % 1.13/1.34 (* end of lemma zenon_L592_ *) % 1.13/1.34 assert (zenon_L593_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H19d zenon_H76 zenon_H99 zenon_H9b zenon_H52 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_Hd zenon_H68 zenon_H6a zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_H273 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1a6 zenon_H98. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.34 apply (zenon_L591_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.34 apply (zenon_L39_); trivial. % 1.13/1.34 apply (zenon_L592_); trivial. % 1.13/1.34 (* end of lemma zenon_L593_ *) % 1.13/1.34 assert (zenon_L594_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_He2 zenon_H1 zenon_H234 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H87. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.34 apply (zenon_L257_); trivial. % 1.13/1.34 apply (zenon_L167_); trivial. % 1.13/1.34 (* end of lemma zenon_L594_ *) % 1.13/1.34 assert (zenon_L595_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (~(hskp22)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H88 zenon_H250. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H58 | zenon_intro zenon_H304 ]. % 1.13/1.34 apply (zenon_L19_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H33 | zenon_intro zenon_H251 ]. % 1.13/1.34 apply (zenon_L290_); trivial. % 1.13/1.34 exact (zenon_H250 zenon_H251). % 1.13/1.34 (* end of lemma zenon_L595_ *) % 1.13/1.34 assert (zenon_L596_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp22)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1a6 zenon_H250 zenon_H27f zenon_H280 zenon_H281 zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_Hb. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.34 apply (zenon_L595_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.34 apply (zenon_L104_); trivial. % 1.13/1.34 exact (zenon_Hb zenon_Hc). % 1.13/1.34 (* end of lemma zenon_L596_ *) % 1.13/1.34 assert (zenon_L597_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H281 zenon_H280 zenon_H27f zenon_H6d zenon_H6e zenon_H6f zenon_Hb zenon_H1a6 zenon_H12d zenon_H10 zenon_H163 zenon_H164 zenon_H165 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H59 zenon_H5a zenon_H5b zenon_H250 zenon_H303 zenon_H53. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.34 apply (zenon_L505_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.34 apply (zenon_L596_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.34 apply (zenon_L51_); trivial. % 1.13/1.34 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.34 (* end of lemma zenon_L597_ *) % 1.13/1.34 assert (zenon_L598_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H145 zenon_H52 zenon_H171 zenon_H260 zenon_H230 zenon_H109 zenon_H53 zenon_H303 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H1a6 zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H87. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.34 apply (zenon_L257_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.34 apply (zenon_L273_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.34 apply (zenon_L597_); trivial. % 1.13/1.34 apply (zenon_L193_); trivial. % 1.13/1.34 (* end of lemma zenon_L598_ *) % 1.13/1.34 assert (zenon_L599_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp4)) -> (~(hskp21)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp29)) -> (~(hskp30)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H30a zenon_Hb zenon_H64 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_H9d zenon_Had. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H78 | zenon_intro zenon_H30b ]. % 1.13/1.34 apply (zenon_L250_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H9e | zenon_intro zenon_Hae ]. % 1.13/1.34 exact (zenon_H9d zenon_H9e). % 1.13/1.34 exact (zenon_Had zenon_Hae). % 1.13/1.34 (* end of lemma zenon_L599_ *) % 1.13/1.34 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hc7 zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.34 apply (zenon_L272_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.34 apply (zenon_L475_); trivial. % 1.13/1.34 apply (zenon_L59_); trivial. % 1.13/1.34 (* end of lemma zenon_L600_ *) % 1.13/1.34 assert (zenon_L601_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp21)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(hskp29)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hcd zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_Hf1 zenon_Hb zenon_H64 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H9d zenon_H30a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.34 apply (zenon_L599_); trivial. % 1.13/1.34 apply (zenon_L600_); trivial. % 1.13/1.34 (* end of lemma zenon_L601_ *) % 1.13/1.34 assert (zenon_L602_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp12)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1a6 zenon_H9f zenon_H163 zenon_H164 zenon_H165 zenon_H79 zenon_H7a zenon_H16c zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_Hb. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.34 apply (zenon_L540_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.34 apply (zenon_L104_); trivial. % 1.13/1.34 exact (zenon_Hb zenon_Hc). % 1.13/1.34 (* end of lemma zenon_L602_ *) % 1.13/1.34 assert (zenon_L603_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp10)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp8)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H84 zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H16c zenon_H9f zenon_H1a6 zenon_H205 zenon_H163 zenon_H164 zenon_H165 zenon_H27f zenon_H280 zenon_H281 zenon_H297 zenon_H1b3. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.34 apply (zenon_L602_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.34 apply (zenon_L285_); trivial. % 1.13/1.34 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.34 (* end of lemma zenon_L603_ *) % 1.13/1.34 assert (zenon_L604_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H136 zenon_H137 zenon_H205 zenon_H297 zenon_H16c zenon_H9f zenon_Hcd zenon_H132 zenon_H12c zenon_H30a zenon_H10c zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H87 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H303 zenon_H53 zenon_H109 zenon_H230 zenon_H260 zenon_H171 zenon_H148. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.35 apply (zenon_L594_); trivial. % 1.13/1.35 apply (zenon_L598_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.35 apply (zenon_L487_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.35 apply (zenon_L257_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L273_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.35 apply (zenon_L601_); trivial. % 1.13/1.35 apply (zenon_L150_); trivial. % 1.13/1.35 apply (zenon_L603_); trivial. % 1.13/1.35 (* end of lemma zenon_L604_ *) % 1.13/1.35 assert (zenon_L605_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp22)) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hd0 zenon_H2cb zenon_H153 zenon_H250 zenon_He2 zenon_H1 zenon_H234. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.35 apply (zenon_L166_); trivial. % 1.13/1.35 apply (zenon_L384_); trivial. % 1.13/1.35 (* end of lemma zenon_L605_ *) % 1.13/1.35 assert (zenon_L606_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp4)) -> (~(hskp21)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hdd zenon_H2a1 zenon_Hb zenon_H64 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_H256 zenon_H255 zenon_H254. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.35 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.35 apply (zenon_L250_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.35 apply (zenon_L192_); trivial. % 1.13/1.35 apply (zenon_L51_); trivial. % 1.13/1.35 (* end of lemma zenon_L606_ *) % 1.13/1.35 assert (zenon_L607_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp21)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H25d zenon_H134 zenon_Hf1 zenon_Hb zenon_H64 zenon_H281 zenon_H280 zenon_H27f zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.35 apply (zenon_L250_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.35 apply (zenon_L192_); trivial. % 1.13/1.35 apply (zenon_L489_); trivial. % 1.13/1.35 apply (zenon_L606_); trivial. % 1.13/1.35 (* end of lemma zenon_L607_ *) % 1.13/1.35 assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_H1 zenon_He2 zenon_H153 zenon_H2cb zenon_Hd0. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_L605_); trivial. % 1.13/1.35 apply (zenon_L566_); trivial. % 1.13/1.35 (* end of lemma zenon_L608_ *) % 1.13/1.35 assert (zenon_L609_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H87 zenon_Hd0 zenon_H2cb zenon_H153 zenon_He2 zenon_H1 zenon_H234 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H134 zenon_H260. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_L605_); trivial. % 1.13/1.35 apply (zenon_L607_); trivial. % 1.13/1.35 apply (zenon_L608_); trivial. % 1.13/1.35 (* end of lemma zenon_L609_ *) % 1.13/1.35 assert (zenon_L610_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (~(hskp17)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H2b6 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H88 zenon_H92. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H120 | zenon_intro zenon_H2b7 ]. % 1.13/1.35 apply (zenon_L272_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H33 | zenon_intro zenon_H93 ]. % 1.13/1.35 apply (zenon_L290_); trivial. % 1.13/1.35 exact (zenon_H92 zenon_H93). % 1.13/1.35 (* end of lemma zenon_L610_ *) % 1.13/1.35 assert (zenon_L611_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp17)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1a6 zenon_H92 zenon_H27f zenon_H280 zenon_H281 zenon_H2b6 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_Hb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.35 apply (zenon_L610_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.35 apply (zenon_L104_); trivial. % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L611_ *) % 1.13/1.35 assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp10)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp8)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H16e zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H2b6 zenon_H92 zenon_H1a6 zenon_H205 zenon_H27f zenon_H280 zenon_H281 zenon_H297 zenon_H1b3. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.35 apply (zenon_L611_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.35 apply (zenon_L285_); trivial. % 1.13/1.35 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.35 (* end of lemma zenon_L612_ *) % 1.13/1.35 assert (zenon_L613_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H171 zenon_H1b5 zenon_H1b3 zenon_H205 zenon_H297 zenon_H2b6 zenon_H92 zenon_H6d zenon_H6e zenon_H6f zenon_H1a6 zenon_H260 zenon_H134 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H87. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L609_); trivial. % 1.13/1.35 apply (zenon_L612_); trivial. % 1.13/1.35 (* end of lemma zenon_L613_ *) % 1.13/1.35 assert (zenon_L614_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H2a1 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H256 zenon_H255 zenon_H254 zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.35 apply (zenon_L263_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.35 apply (zenon_L192_); trivial. % 1.13/1.35 apply (zenon_L489_); trivial. % 1.13/1.35 (* end of lemma zenon_L614_ *) % 1.13/1.35 assert (zenon_L615_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a397))) -> (c1_1 (a397)) -> (c2_1 (a397)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp16)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H293 zenon_H78 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H114 zenon_H113 zenon_H12d zenon_H254 zenon_H255 zenon_H256 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_H5. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.13/1.35 apply (zenon_L249_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.35 apply (zenon_L614_); trivial. % 1.13/1.35 exact (zenon_H5 zenon_H6). % 1.13/1.35 (* end of lemma zenon_L615_ *) % 1.13/1.35 assert (zenon_L616_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(hskp21)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H25d zenon_H134 zenon_H64 zenon_Hb zenon_Hf1 zenon_H293 zenon_H5 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.35 apply (zenon_L615_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.35 apply (zenon_L192_); trivial. % 1.13/1.35 apply (zenon_L489_); trivial. % 1.13/1.35 apply (zenon_L606_); trivial. % 1.13/1.35 (* end of lemma zenon_L616_ *) % 1.13/1.35 assert (zenon_L617_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H87 zenon_Hd0 zenon_H2cb zenon_H153 zenon_He2 zenon_H1 zenon_H234 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H5 zenon_H293 zenon_Hf1 zenon_Hb zenon_H134 zenon_H260. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_L605_); trivial. % 1.13/1.35 apply (zenon_L616_); trivial. % 1.13/1.35 apply (zenon_L608_); trivial. % 1.13/1.35 (* end of lemma zenon_L617_ *) % 1.13/1.35 assert (zenon_L618_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp31)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(hskp16)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H297 zenon_H2b8 zenon_H10c zenon_Ha3 zenon_Ha4 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H5 zenon_H2c7 zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_H205. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_He6 | zenon_intro zenon_H298 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H128 | zenon_intro zenon_H2c8 ]. % 1.13/1.35 apply (zenon_L66_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2b9 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.13/1.35 apply (zenon_L127_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.13/1.35 apply (zenon_L104_); trivial. % 1.13/1.35 exact (zenon_H5 zenon_H6). % 1.13/1.35 exact (zenon_H2b8 zenon_H2b9). % 1.13/1.35 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H162 | zenon_intro zenon_H206 ]. % 1.13/1.35 apply (zenon_L81_); trivial. % 1.13/1.35 exact (zenon_H205 zenon_H206). % 1.13/1.35 (* end of lemma zenon_L618_ *) % 1.13/1.35 assert (zenon_L619_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (c3_1 (a410)) -> (c2_1 (a410)) -> (c0_1 (a410)) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1a6 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H2bc zenon_H2bb zenon_H2ba zenon_H10 zenon_Hb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.35 apply (zenon_L290_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.35 apply (zenon_L327_); trivial. % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L619_ *) % 1.13/1.35 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp24)\/(hskp10))) -> (~(hskp4)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp24)) -> (~(hskp10)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H2c3 zenon_H30f zenon_Hb zenon_H27f zenon_H280 zenon_H281 zenon_H1a6 zenon_H9 zenon_H205. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H33 | zenon_intro zenon_H310 ]. % 1.13/1.35 apply (zenon_L619_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_Ha | zenon_intro zenon_H206 ]. % 1.13/1.35 exact (zenon_H9 zenon_Ha). % 1.13/1.35 exact (zenon_H205 zenon_H206). % 1.13/1.35 (* end of lemma zenon_L620_ *) % 1.13/1.35 assert (zenon_L621_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp13)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1a6 zenon_He2 zenon_H27f zenon_H280 zenon_H281 zenon_H79 zenon_H7a zenon_H212 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_Hb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.35 apply (zenon_L304_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.35 apply (zenon_L104_); trivial. % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L621_ *) % 1.13/1.35 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp10)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp8)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H84 zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H212 zenon_He2 zenon_H1a6 zenon_H205 zenon_H163 zenon_H164 zenon_H165 zenon_H27f zenon_H280 zenon_H281 zenon_H297 zenon_H1b3. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.35 apply (zenon_L621_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.35 apply (zenon_L285_); trivial. % 1.13/1.35 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.35 (* end of lemma zenon_L622_ *) % 1.13/1.35 assert (zenon_L623_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H171 zenon_H1b5 zenon_H1b3 zenon_H205 zenon_H297 zenon_H2b6 zenon_H92 zenon_H6d zenon_H6e zenon_H6f zenon_Hb zenon_H1a6 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L273_); trivial. % 1.13/1.35 apply (zenon_L612_); trivial. % 1.13/1.35 (* end of lemma zenon_L623_ *) % 1.13/1.35 assert (zenon_L624_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp21)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hcd zenon_Hf1 zenon_Hb zenon_H64 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H12d zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.35 apply (zenon_L45_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf4 ]. % 1.13/1.35 apply (zenon_L485_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc ]. % 1.13/1.35 exact (zenon_H64 zenon_H65). % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L624_ *) % 1.13/1.35 assert (zenon_L625_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (ndr1_0) -> (c0_1 (a355)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H114 zenon_H113 zenon_H112 zenon_H10 zenon_H2fa zenon_H111 zenon_H2ee zenon_H2f0. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.13/1.35 apply (zenon_L63_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.13/1.35 apply (zenon_L64_); trivial. % 1.13/1.35 apply (zenon_L474_); trivial. % 1.13/1.35 (* end of lemma zenon_L625_ *) % 1.13/1.35 assert (zenon_L626_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H3d zenon_H132 zenon_Hd3 zenon_Hd4 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H112 zenon_H113 zenon_H114 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H1e2 zenon_H1e0 zenon_Ha3 zenon_Ha4. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.35 apply (zenon_L332_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.35 apply (zenon_L625_); trivial. % 1.13/1.35 apply (zenon_L129_); trivial. % 1.13/1.35 (* end of lemma zenon_L626_ *) % 1.13/1.35 assert (zenon_L627_ : ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a418)) -> (~(c3_1 (a418))) -> (~(c2_1 (a418))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H10 zenon_H2b8. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H128 | zenon_intro zenon_H2c8 ]. % 1.13/1.35 apply (zenon_L473_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2b9 ]. % 1.13/1.35 apply (zenon_L132_); trivial. % 1.13/1.35 exact (zenon_H2b8 zenon_H2b9). % 1.13/1.35 (* end of lemma zenon_L627_ *) % 1.13/1.35 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp24)\/(hskp10))) -> (~(hskp10)) -> (~(hskp24)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1f0 zenon_H2c6 zenon_H30f zenon_H205 zenon_H9 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_H1a6 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H2c7. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.13/1.35 apply (zenon_L627_); trivial. % 1.13/1.35 apply (zenon_L620_); trivial. % 1.13/1.35 (* end of lemma zenon_L628_ *) % 1.13/1.35 assert (zenon_L629_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp24)\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H13d zenon_H141 zenon_H87 zenon_H212 zenon_He2 zenon_Hcd zenon_Hf1 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_Hb1 zenon_H204 zenon_H2c6 zenon_H30f zenon_H2c7 zenon_H132 zenon_H1e2 zenon_H301 zenon_H114 zenon_H113 zenon_H112 zenon_H53 zenon_H82 zenon_H54 zenon_H134 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H2b6 zenon_H297 zenon_H205 zenon_H1b3 zenon_H1b5 zenon_H171. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.35 apply (zenon_L623_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L273_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_L624_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.35 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.35 apply (zenon_L272_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.35 apply (zenon_L502_); trivial. % 1.13/1.35 apply (zenon_L129_); trivial. % 1.13/1.35 apply (zenon_L626_); trivial. % 1.13/1.35 apply (zenon_L628_); trivial. % 1.13/1.35 apply (zenon_L251_); trivial. % 1.13/1.35 apply (zenon_L622_); trivial. % 1.13/1.35 (* end of lemma zenon_L629_ *) % 1.13/1.35 assert (zenon_L630_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H145 zenon_H171 zenon_H87 zenon_H205 zenon_H297 zenon_H212 zenon_He2 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_Hb zenon_H1a6 zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H303 zenon_H53 zenon_H2a1 zenon_H114 zenon_H113 zenon_Hf1 zenon_H260 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L273_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_L597_); trivial. % 1.13/1.35 apply (zenon_L607_); trivial. % 1.13/1.35 apply (zenon_L622_); trivial. % 1.13/1.35 (* end of lemma zenon_L630_ *) % 1.13/1.35 assert (zenon_L631_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp16)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H5 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.35 apply (zenon_L272_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.35 apply (zenon_L478_); trivial. % 1.13/1.35 apply (zenon_L59_); trivial. % 1.13/1.35 (* end of lemma zenon_L631_ *) % 1.13/1.35 assert (zenon_L632_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H113 zenon_H114 zenon_Hd1 zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.35 apply (zenon_L272_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.35 apply (zenon_L118_); trivial. % 1.13/1.35 apply (zenon_L59_); trivial. % 1.13/1.35 (* end of lemma zenon_L632_ *) % 1.13/1.35 assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp4)) -> (~(hskp21)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H25d zenon_H2a1 zenon_Hb zenon_H64 zenon_Hf1 zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H113 zenon_H114 zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.35 apply (zenon_L250_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.35 apply (zenon_L192_); trivial. % 1.13/1.35 apply (zenon_L632_); trivial. % 1.13/1.35 (* end of lemma zenon_L633_ *) % 1.13/1.35 assert (zenon_L634_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp22)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hd0 zenon_H2cb zenon_H153 zenon_H250 zenon_H30a zenon_H7b zenon_H7a zenon_H79 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132 zenon_Hcd. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.35 apply (zenon_L544_); trivial. % 1.13/1.35 apply (zenon_L600_); trivial. % 1.13/1.35 apply (zenon_L384_); trivial. % 1.13/1.35 (* end of lemma zenon_L634_ *) % 1.13/1.35 assert (zenon_L635_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H25d zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H113 zenon_H114 zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.35 apply (zenon_L28_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.35 apply (zenon_L192_); trivial. % 1.13/1.35 apply (zenon_L632_); trivial. % 1.13/1.35 (* end of lemma zenon_L635_ *) % 1.13/1.35 assert (zenon_L636_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H84 zenon_H260 zenon_H2a1 zenon_H114 zenon_H113 zenon_Hcd zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H281 zenon_H280 zenon_H27f zenon_H30a zenon_H153 zenon_H2cb zenon_Hd0. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_L634_); trivial. % 1.13/1.35 apply (zenon_L635_); trivial. % 1.13/1.35 (* end of lemma zenon_L636_ *) % 1.13/1.35 assert (zenon_L637_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H87 zenon_Hd0 zenon_H2cb zenon_H153 zenon_H30a zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132 zenon_Hcd zenon_H113 zenon_H114 zenon_H2a1 zenon_H260. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.35 apply (zenon_L601_); trivial. % 1.13/1.35 apply (zenon_L384_); trivial. % 1.13/1.35 apply (zenon_L633_); trivial. % 1.13/1.35 apply (zenon_L636_); trivial. % 1.13/1.35 (* end of lemma zenon_L637_ *) % 1.13/1.35 assert (zenon_L638_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp28)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H1b zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H163 zenon_H164 zenon_H165 zenon_H301 zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.35 apply (zenon_L272_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.35 apply (zenon_L502_); trivial. % 1.13/1.35 apply (zenon_L59_); trivial. % 1.13/1.35 (* end of lemma zenon_L638_ *) % 1.13/1.35 assert (zenon_L639_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hcd zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.35 apply (zenon_L45_); trivial. % 1.13/1.35 apply (zenon_L600_); trivial. % 1.13/1.35 (* end of lemma zenon_L639_ *) % 1.13/1.35 assert (zenon_L640_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1a6 zenon_H157 zenon_H7a zenon_H79 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H10 zenon_Hb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.35 apply (zenon_L303_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.35 apply (zenon_L104_); trivial. % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L640_ *) % 1.13/1.35 assert (zenon_L641_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp24)\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c0_1 (a369)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H13a zenon_H137 zenon_H141 zenon_H52 zenon_H227 zenon_H12d zenon_Hb1 zenon_H204 zenon_H2c6 zenon_H30f zenon_H2c7 zenon_H301 zenon_H112 zenon_H1e2 zenon_H53 zenon_H134 zenon_H260 zenon_H2a1 zenon_H114 zenon_H113 zenon_Hcd zenon_H12c zenon_H30a zenon_H2cb zenon_Hd0 zenon_H54 zenon_H82 zenon_Hf1 zenon_H76 zenon_H87 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H2b6 zenon_H297 zenon_H205 zenon_H1b3 zenon_H1b5 zenon_H171 zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.35 apply (zenon_L631_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.35 apply (zenon_L623_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.35 apply (zenon_L257_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L637_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_L624_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.35 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.35 apply (zenon_L638_); trivial. % 1.13/1.35 apply (zenon_L626_); trivial. % 1.13/1.35 apply (zenon_L628_); trivial. % 1.13/1.35 apply (zenon_L251_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_L639_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.35 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.13/1.35 apply (zenon_L15_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.35 apply (zenon_L640_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.35 apply (zenon_L51_); trivial. % 1.13/1.35 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.35 apply (zenon_L156_); trivial. % 1.13/1.35 (* end of lemma zenon_L641_ *) % 1.13/1.35 assert (zenon_L642_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp17))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp24)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H135 zenon_H136 zenon_H52 zenon_H227 zenon_H30a zenon_H76 zenon_H137 zenon_Hcd zenon_H12c zenon_Hb1 zenon_H204 zenon_H132 zenon_H1e2 zenon_H301 zenon_H53 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H171 zenon_H1b5 zenon_H1b3 zenon_H205 zenon_H297 zenon_H2b6 zenon_H6d zenon_H6e zenon_H6f zenon_H1a6 zenon_H260 zenon_H134 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H2a1 zenon_H234 zenon_H2cb zenon_Hd0 zenon_H87 zenon_H293 zenon_H54 zenon_H82 zenon_H2c7 zenon_H10c zenon_H30f zenon_H2c6 zenon_H212 zenon_H141 zenon_H303 zenon_H148. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.35 apply (zenon_L613_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L617_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.35 apply (zenon_L618_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.35 apply (zenon_L285_); trivial. % 1.13/1.35 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.35 apply (zenon_L620_); trivial. % 1.13/1.35 apply (zenon_L251_); trivial. % 1.13/1.35 apply (zenon_L622_); trivial. % 1.13/1.35 apply (zenon_L629_); trivial. % 1.13/1.35 apply (zenon_L630_); trivial. % 1.13/1.35 apply (zenon_L641_); trivial. % 1.13/1.35 (* end of lemma zenon_L642_ *) % 1.13/1.35 assert (zenon_L643_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H82 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10 zenon_Hb3 zenon_Hb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.13/1.35 apply (zenon_L263_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.13/1.35 apply (zenon_L232_); trivial. % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L643_ *) % 1.13/1.35 assert (zenon_L644_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp28)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp22)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp28))) -> (~(hskp2)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H21a zenon_H44 zenon_H43 zenon_H42 zenon_H1b zenon_H82 zenon_H281 zenon_H280 zenon_H27f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10 zenon_Hb zenon_H1a6 zenon_H250 zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H6f zenon_H6e zenon_H6d zenon_H311 zenon_Hdb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H41 | zenon_intro zenon_H21b ]. % 1.13/1.35 apply (zenon_L15_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hdc ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H312 ]. % 1.13/1.35 apply (zenon_L596_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H33 | zenon_intro zenon_H1c ]. % 1.13/1.35 apply (zenon_L643_); trivial. % 1.13/1.35 exact (zenon_H1b zenon_H1c). % 1.13/1.35 exact (zenon_Hdb zenon_Hdc). % 1.13/1.35 (* end of lemma zenon_L644_ *) % 1.13/1.35 assert (zenon_L645_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (ndr1_0) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp28))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H53 zenon_H10 zenon_H42 zenon_H43 zenon_H44 zenon_H311 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H82 zenon_H303 zenon_H250 zenon_H281 zenon_H280 zenon_H27f zenon_H5b zenon_H5a zenon_H59 zenon_H6d zenon_H6e zenon_H6f zenon_Hb zenon_H1a6 zenon_Hdb zenon_H21a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.35 apply (zenon_L644_); trivial. % 1.13/1.35 apply (zenon_L504_); trivial. % 1.13/1.35 (* end of lemma zenon_L645_ *) % 1.13/1.35 assert (zenon_L646_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.35 apply (zenon_L631_); trivial. % 1.13/1.35 apply (zenon_L113_); trivial. % 1.13/1.35 (* end of lemma zenon_L646_ *) % 1.13/1.35 assert (zenon_L647_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp16)) -> (ndr1_0) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H273 zenon_H5 zenon_H10 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10c zenon_H9 zenon_H68. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.13/1.35 apply (zenon_L478_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.13/1.35 exact (zenon_H9 zenon_Ha). % 1.13/1.35 exact (zenon_H68 zenon_H69). % 1.13/1.35 (* end of lemma zenon_L647_ *) % 1.13/1.35 assert (zenon_L648_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H84 zenon_H54 zenon_H82 zenon_Hb zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H68 zenon_H273. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.35 apply (zenon_L647_); trivial. % 1.13/1.35 apply (zenon_L29_); trivial. % 1.13/1.35 (* end of lemma zenon_L648_ *) % 1.13/1.35 assert (zenon_L649_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H273 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_L25_); trivial. % 1.13/1.35 apply (zenon_L648_); trivial. % 1.13/1.35 (* end of lemma zenon_L649_ *) % 1.13/1.35 assert (zenon_L650_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H273 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_Hb zenon_H82 zenon_H54 zenon_H87. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.35 apply (zenon_L649_); trivial. % 1.13/1.35 apply (zenon_L90_); trivial. % 1.13/1.35 (* end of lemma zenon_L650_ *) % 1.13/1.35 assert (zenon_L651_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_Hcd zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H281 zenon_H280 zenon_H27f zenon_H30a zenon_H153 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_L25_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_L634_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_L639_); trivial. % 1.13/1.35 apply (zenon_L565_); trivial. % 1.13/1.35 (* end of lemma zenon_L651_ *) % 1.13/1.35 assert (zenon_L652_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H13a zenon_H137 zenon_H260 zenon_H134 zenon_H2a1 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_Hcd zenon_H132 zenon_H12c zenon_H281 zenon_H280 zenon_H27f zenon_H30a zenon_H2cb zenon_Hd0 zenon_H16c zenon_H9f zenon_H171 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.35 apply (zenon_L650_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.35 apply (zenon_L651_); trivial. % 1.13/1.35 apply (zenon_L542_); trivial. % 1.13/1.35 apply (zenon_L90_); trivial. % 1.13/1.35 (* end of lemma zenon_L652_ *) % 1.13/1.35 assert (zenon_L653_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp21)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_H64 zenon_Hb zenon_Hf1 zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.35 apply (zenon_L222_); trivial. % 1.13/1.35 apply (zenon_L251_); trivial. % 1.13/1.35 (* end of lemma zenon_L653_ *) % 1.13/1.35 assert (zenon_L654_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp22)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp6)) -> (~(hskp24)) -> (ndr1_0) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1a6 zenon_H250 zenon_H27f zenon_H280 zenon_H281 zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H68 zenon_H9 zenon_H10 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H273 zenon_Hb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.13/1.35 apply (zenon_L595_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.13/1.35 apply (zenon_L588_); trivial. % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L654_ *) % 1.13/1.35 assert (zenon_L655_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H54 zenon_H82 zenon_H7b zenon_H7a zenon_H79 zenon_H303 zenon_H250 zenon_H281 zenon_H280 zenon_H27f zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H273 zenon_H68 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.35 apply (zenon_L654_); trivial. % 1.13/1.35 apply (zenon_L29_); trivial. % 1.13/1.35 (* end of lemma zenon_L655_ *) % 1.13/1.35 assert (zenon_L656_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H25d zenon_H134 zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_L571_); trivial. % 1.13/1.35 apply (zenon_L565_); trivial. % 1.13/1.35 (* end of lemma zenon_L656_ *) % 1.13/1.35 assert (zenon_L657_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_H1a6 zenon_Hb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H68 zenon_H273 zenon_H59 zenon_H5a zenon_H5b zenon_H27f zenon_H280 zenon_H281 zenon_H303 zenon_H82 zenon_H54. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.35 apply (zenon_L655_); trivial. % 1.13/1.35 apply (zenon_L656_); trivial. % 1.13/1.35 (* end of lemma zenon_L657_ *) % 1.13/1.35 assert (zenon_L658_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H145 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H12d zenon_H1a6 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H303 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.35 apply (zenon_L653_); trivial. % 1.13/1.35 apply (zenon_L657_); trivial. % 1.13/1.35 (* end of lemma zenon_L658_ *) % 1.13/1.35 assert (zenon_L659_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H148 zenon_H260 zenon_H134 zenon_H2a1 zenon_H12d zenon_H1a6 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H303 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H87 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54 zenon_H234 zenon_He2 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.35 apply (zenon_L594_); trivial. % 1.13/1.35 apply (zenon_L658_); trivial. % 1.13/1.35 (* end of lemma zenon_L659_ *) % 1.13/1.35 assert (zenon_L660_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H14c zenon_H14b zenon_H14a zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.35 apply (zenon_L88_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.35 apply (zenon_L76_); trivial. % 1.13/1.35 apply (zenon_L489_); trivial. % 1.13/1.35 (* end of lemma zenon_L660_ *) % 1.13/1.35 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H135 zenon_H134 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1cc. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.35 apply (zenon_L660_); trivial. % 1.13/1.35 apply (zenon_L122_); trivial. % 1.13/1.35 (* end of lemma zenon_L661_ *) % 1.13/1.35 assert (zenon_L662_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H2ee zenon_H2f0 zenon_H20 zenon_H21 zenon_H22 zenon_H1c1 zenon_H11 zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.35 apply (zenon_L272_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.35 apply (zenon_L531_); trivial. % 1.13/1.35 apply (zenon_L390_); trivial. % 1.13/1.35 (* end of lemma zenon_L662_ *) % 1.13/1.35 assert (zenon_L663_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp11)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H13d zenon_H62 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H5b zenon_H5a zenon_H59 zenon_H3. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 1.13/1.35 apply (zenon_L662_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 1.13/1.35 apply (zenon_L19_); trivial. % 1.13/1.35 exact (zenon_H3 zenon_H4). % 1.13/1.35 (* end of lemma zenon_L663_ *) % 1.13/1.35 assert (zenon_L664_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H145 zenon_H137 zenon_H27f zenon_H280 zenon_H281 zenon_H1c1 zenon_H132 zenon_H62 zenon_H3 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H68 zenon_H273 zenon_H54. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.35 apply (zenon_L562_); trivial. % 1.13/1.35 apply (zenon_L663_); trivial. % 1.13/1.35 (* end of lemma zenon_L664_ *) % 1.13/1.35 assert (zenon_L665_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H148 zenon_H137 zenon_H27f zenon_H280 zenon_H281 zenon_H1c1 zenon_H132 zenon_H62 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H68 zenon_H273 zenon_H54 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_He2 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.35 apply (zenon_L229_); trivial. % 1.13/1.35 apply (zenon_L664_); trivial. % 1.13/1.35 (* end of lemma zenon_L665_ *) % 1.13/1.35 assert (zenon_L666_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp29)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hcd zenon_H132 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H1e3 zenon_H281 zenon_H280 zenon_H27f zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H9d zenon_H30a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H78 | zenon_intro zenon_H30b ]. % 1.13/1.35 apply (zenon_L306_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H9e | zenon_intro zenon_Hae ]. % 1.13/1.35 exact (zenon_H9d zenon_H9e). % 1.13/1.35 exact (zenon_Had zenon_Hae). % 1.13/1.35 apply (zenon_L600_); trivial. % 1.13/1.35 (* end of lemma zenon_L666_ *) % 1.13/1.35 assert (zenon_L667_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H13a zenon_H137 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H30a zenon_H12c zenon_Hcd zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53 zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.35 apply (zenon_L631_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.35 apply (zenon_L145_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.35 apply (zenon_L666_); trivial. % 1.13/1.35 apply (zenon_L150_); trivial. % 1.13/1.35 (* end of lemma zenon_L667_ *) % 1.13/1.35 assert (zenon_L668_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H136 zenon_H30a zenon_H12c zenon_Hcd zenon_H1e3 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53 zenon_H54 zenon_H273 zenon_H68 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H62 zenon_H132 zenon_H1c1 zenon_H281 zenon_H280 zenon_H27f zenon_H137 zenon_H148. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.35 apply (zenon_L665_); trivial. % 1.13/1.35 apply (zenon_L667_); trivial. % 1.13/1.35 (* end of lemma zenon_L668_ *) % 1.13/1.35 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H3d zenon_H2a1 zenon_H256 zenon_H255 zenon_H254 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.36 apply (zenon_L289_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.36 apply (zenon_L192_); trivial. % 1.13/1.36 apply (zenon_L292_); trivial. % 1.13/1.36 (* end of lemma zenon_L669_ *) % 1.13/1.36 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H25d zenon_H53 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L126_); trivial. % 1.13/1.36 apply (zenon_L669_); trivial. % 1.13/1.36 (* end of lemma zenon_L670_ *) % 1.13/1.36 assert (zenon_L671_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H260 zenon_H53 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23 zenon_H234 zenon_H1 zenon_He2 zenon_H153 zenon_H2cb zenon_Hd0. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.36 apply (zenon_L605_); trivial. % 1.13/1.36 apply (zenon_L670_); trivial. % 1.13/1.36 (* end of lemma zenon_L671_ *) % 1.13/1.36 assert (zenon_L672_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H260 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.36 apply (zenon_L564_); trivial. % 1.13/1.36 apply (zenon_L670_); trivial. % 1.13/1.36 (* end of lemma zenon_L672_ *) % 1.13/1.36 assert (zenon_L673_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H19f zenon_H136 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132 zenon_H137 zenon_H171 zenon_H205 zenon_H297 zenon_H1e3 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H261 zenon_H2a1 zenon_H53 zenon_H260 zenon_H1c1 zenon_H109 zenon_H230 zenon_H52 zenon_H303 zenon_H148. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.36 apply (zenon_L671_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L126_); trivial. % 1.13/1.36 apply (zenon_L468_); trivial. % 1.13/1.36 apply (zenon_L198_); trivial. % 1.13/1.36 apply (zenon_L113_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_L672_); trivial. % 1.13/1.36 apply (zenon_L198_); trivial. % 1.13/1.36 apply (zenon_L113_); trivial. % 1.13/1.36 apply (zenon_L646_); trivial. % 1.13/1.36 (* end of lemma zenon_L673_ *) % 1.13/1.36 assert (zenon_L674_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H4d zenon_H171 zenon_H230 zenon_H109 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H297 zenon_H205 zenon_H1b3 zenon_H1b5 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.36 apply (zenon_L273_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H41 | zenon_intro zenon_H231 ]. % 1.13/1.36 apply (zenon_L15_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H22c | zenon_intro zenon_H10a ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.36 apply (zenon_L174_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.36 apply (zenon_L285_); trivial. % 1.13/1.36 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.36 exact (zenon_H109 zenon_H10a). % 1.13/1.36 (* end of lemma zenon_L674_ *) % 1.13/1.36 assert (zenon_L675_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H52 zenon_H171 zenon_H230 zenon_H109 zenon_H297 zenon_H205 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H2a1 zenon_H261 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H1b3 zenon_H1b5 zenon_H53. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_L295_); trivial. % 1.13/1.36 apply (zenon_L674_); trivial. % 1.13/1.36 (* end of lemma zenon_L675_ *) % 1.13/1.36 assert (zenon_L676_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp28)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H1b zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H163 zenon_H164 zenon_H165 zenon_H301 zenon_H11 zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.36 apply (zenon_L272_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.36 apply (zenon_L502_); trivial. % 1.13/1.36 apply (zenon_L390_); trivial. % 1.13/1.36 (* end of lemma zenon_L676_ *) % 1.13/1.36 assert (zenon_L677_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H16e zenon_H53 zenon_H3e zenon_H132 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H281 zenon_H280 zenon_H27f zenon_H59 zenon_H5a zenon_H5b zenon_H3 zenon_H62. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 1.13/1.36 apply (zenon_L676_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 1.13/1.36 apply (zenon_L19_); trivial. % 1.13/1.36 exact (zenon_H3 zenon_H4). % 1.13/1.36 apply (zenon_L14_); trivial. % 1.13/1.36 (* end of lemma zenon_L677_ *) % 1.13/1.36 assert (zenon_L678_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H145 zenon_H171 zenon_H53 zenon_H3e zenon_H132 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H3 zenon_H62 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.36 apply (zenon_L273_); trivial. % 1.13/1.36 apply (zenon_L677_); trivial. % 1.13/1.36 (* end of lemma zenon_L678_ *) % 1.13/1.36 assert (zenon_L679_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H16e zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H27f zenon_H280 zenon_H281 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L638_); trivial. % 1.13/1.36 apply (zenon_L144_); trivial. % 1.13/1.36 (* end of lemma zenon_L679_ *) % 1.13/1.36 assert (zenon_L680_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H13a zenon_H171 zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.36 apply (zenon_L273_); trivial. % 1.13/1.36 apply (zenon_L679_); trivial. % 1.13/1.36 (* end of lemma zenon_L680_ *) % 1.13/1.36 assert (zenon_L681_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H136 zenon_H1e3 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H62 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H132 zenon_H171 zenon_H148. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.36 apply (zenon_L229_); trivial. % 1.13/1.36 apply (zenon_L678_); trivial. % 1.13/1.36 apply (zenon_L680_); trivial. % 1.13/1.36 (* end of lemma zenon_L681_ *) % 1.13/1.36 assert (zenon_L682_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1c3 zenon_H217 zenon_H140 zenon_H212 zenon_H227 zenon_H16c zenon_H136 zenon_H1e3 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H62 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132 zenon_H171 zenon_H148 zenon_H303 zenon_H230 zenon_H109 zenon_H1c1 zenon_H260 zenon_H2a1 zenon_H261 zenon_H293 zenon_H2cb zenon_H297 zenon_H137 zenon_H10c zenon_H19d. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.36 apply (zenon_L681_); trivial. % 1.13/1.36 apply (zenon_L673_); trivial. % 1.13/1.36 apply (zenon_L302_); trivial. % 1.13/1.36 (* end of lemma zenon_L682_ *) % 1.13/1.36 assert (zenon_L683_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H136 zenon_H137 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H30a zenon_H12c zenon_Hcd zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132 zenon_H87 zenon_H17e zenon_H17c zenon_H27f zenon_H280 zenon_H281 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H68 zenon_H6a zenon_H98. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.36 apply (zenon_L305_); trivial. % 1.13/1.36 apply (zenon_L667_); trivial. % 1.13/1.36 (* end of lemma zenon_L683_ *) % 1.13/1.36 assert (zenon_L684_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> (ndr1_0) -> False). % 1.13/1.36 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1e2 zenon_H1e0 zenon_Ha3 zenon_Ha4 zenon_H10. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.36 apply (zenon_L272_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.36 apply (zenon_L106_); trivial. % 1.13/1.36 apply (zenon_L129_); trivial. % 1.13/1.36 (* end of lemma zenon_L684_ *) % 1.13/1.36 assert (zenon_L685_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> (~(hskp25)) -> (~(hskp2)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H204 zenon_H1f1 zenon_H1ee zenon_Hdb zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H1e2 zenon_Ha3 zenon_Ha4 zenon_H132. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.13/1.36 apply (zenon_L684_); trivial. % 1.13/1.36 apply (zenon_L134_); trivial. % 1.13/1.36 (* end of lemma zenon_L685_ *) % 1.13/1.36 assert (zenon_L686_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (c0_1 (a417)) -> (~(c3_1 (a417))) -> (~(c1_1 (a417))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp8)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H308 zenon_H1f7 zenon_H1f6 zenon_H1f5 zenon_H10 zenon_H9d zenon_H1b3. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H158 | zenon_intro zenon_H309 ]. % 1.13/1.36 apply (zenon_L135_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H9e | zenon_intro zenon_H1b4 ]. % 1.13/1.36 exact (zenon_H9d zenon_H9e). % 1.13/1.36 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.36 (* end of lemma zenon_L686_ *) % 1.13/1.36 assert (zenon_L687_ : ((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp8)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1fe zenon_Hd0 zenon_H21a zenon_Hdb zenon_H44 zenon_H43 zenon_H42 zenon_H1b3 zenon_H308. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H10. zenon_intro zenon_H200. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1f7. zenon_intro zenon_H201. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1f5. zenon_intro zenon_H1f6. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.36 apply (zenon_L686_); trivial. % 1.13/1.36 apply (zenon_L150_); trivial. % 1.13/1.36 (* end of lemma zenon_L687_ *) % 1.13/1.36 assert (zenon_L688_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp8)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H4d zenon_H203 zenon_Hd0 zenon_H21a zenon_H1b3 zenon_H308 zenon_H132 zenon_Ha4 zenon_Ha3 zenon_H1e2 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H281 zenon_H280 zenon_H27f zenon_Hdb zenon_H1f1 zenon_H204. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fe ]. % 1.13/1.36 apply (zenon_L685_); trivial. % 1.13/1.36 apply (zenon_L687_); trivial. % 1.13/1.36 (* end of lemma zenon_L688_ *) % 1.13/1.36 assert (zenon_L689_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp8)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H94 zenon_H52 zenon_H203 zenon_Hd0 zenon_H21a zenon_H1b3 zenon_H308 zenon_H132 zenon_Ha4 zenon_Ha3 zenon_H1e2 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H281 zenon_H280 zenon_H27f zenon_Hdb zenon_H1f1 zenon_H204 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H5 zenon_H261 zenon_H53. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_L212_); trivial. % 1.13/1.36 apply (zenon_L688_); trivial. % 1.13/1.36 (* end of lemma zenon_L689_ *) % 1.13/1.36 assert (zenon_L690_ : ((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp16))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp16)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1fe zenon_H313 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H10. zenon_intro zenon_H200. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1f7. zenon_intro zenon_H201. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1f5. zenon_intro zenon_H1f6. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H158 | zenon_intro zenon_H314 ]. % 1.13/1.36 apply (zenon_L135_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H6 ]. % 1.13/1.36 apply (zenon_L112_); trivial. % 1.13/1.36 exact (zenon_H5 zenon_H6). % 1.13/1.36 (* end of lemma zenon_L690_ *) % 1.13/1.36 assert (zenon_L691_ : ((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H142 zenon_H203 zenon_H313 zenon_H5 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H132 zenon_H1e2 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H281 zenon_H280 zenon_H27f zenon_Hdb zenon_H1f1 zenon_H204. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fe ]. % 1.13/1.36 apply (zenon_L685_); trivial. % 1.13/1.36 apply (zenon_L690_); trivial. % 1.13/1.36 (* end of lemma zenon_L691_ *) % 1.13/1.36 assert (zenon_L692_ : ((ndr1_0)/\((c3_1 (a361))/\((~(c1_1 (a361)))/\(~(c2_1 (a361)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H315 zenon_H1c6 zenon_H313 zenon_H10c zenon_H1e3 zenon_H30a zenon_H136 zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H273 zenon_H68 zenon_H62 zenon_H54 zenon_H148 zenon_H141 zenon_H203 zenon_H308 zenon_H1e2 zenon_H1f1 zenon_H204 zenon_H261 zenon_H87 zenon_H134 zenon_H1b5 zenon_H1c1 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H6a zenon_H95 zenon_H98 zenon_Hcd zenon_H1b1 zenon_H12c zenon_Hb1 zenon_H137 zenon_H19d. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.36 apply (zenon_L312_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.36 apply (zenon_L574_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.36 apply (zenon_L573_); trivial. % 1.13/1.36 apply (zenon_L689_); trivial. % 1.13/1.36 apply (zenon_L486_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.36 apply (zenon_L668_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.36 apply (zenon_L581_); trivial. % 1.13/1.36 apply (zenon_L35_); trivial. % 1.13/1.36 apply (zenon_L691_); trivial. % 1.13/1.36 apply (zenon_L113_); trivial. % 1.13/1.36 (* end of lemma zenon_L692_ *) % 1.13/1.36 assert (zenon_L693_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp8)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H89 zenon_H8a zenon_H8b zenon_H1a6 zenon_Haf zenon_H10 zenon_H114 zenon_H113 zenon_H112 zenon_H12d zenon_H1b3. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.36 apply (zenon_L105_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.36 apply (zenon_L120_); trivial. % 1.13/1.36 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.36 (* end of lemma zenon_L693_ *) % 1.13/1.36 assert (zenon_L694_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H94 zenon_H134 zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H1b3 zenon_H1b5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.36 apply (zenon_L693_); trivial. % 1.13/1.36 apply (zenon_L110_); trivial. % 1.13/1.36 (* end of lemma zenon_L694_ *) % 1.13/1.36 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H135 zenon_H98 zenon_H134 zenon_H1a6 zenon_H12d zenon_H1b3 zenon_H1b5 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H4b zenon_H4e zenon_H52. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.36 apply (zenon_L32_); trivial. % 1.13/1.36 apply (zenon_L694_); trivial. % 1.13/1.36 (* end of lemma zenon_L695_ *) % 1.13/1.36 assert (zenon_L696_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H19d zenon_H140 zenon_H98 zenon_H134 zenon_H1a6 zenon_H12d zenon_H1b5 zenon_H87 zenon_H82 zenon_H76 zenon_H68 zenon_H6a zenon_H4b zenon_H4e zenon_H52 zenon_H1b3 zenon_H2b4 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.36 apply (zenon_L322_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.36 apply (zenon_L323_); trivial. % 1.13/1.36 apply (zenon_L695_); trivial. % 1.13/1.36 (* end of lemma zenon_L696_ *) % 1.13/1.36 assert (zenon_L697_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (ndr1_0) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp4)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H82 zenon_H7b zenon_H7a zenon_H79 zenon_H68 zenon_H9 zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H10 zenon_H5 zenon_H273 zenon_Hb. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.13/1.36 apply (zenon_L28_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.13/1.36 apply (zenon_L560_); trivial. % 1.13/1.36 exact (zenon_Hb zenon_Hc). % 1.13/1.36 (* end of lemma zenon_L697_ *) % 1.13/1.36 assert (zenon_L698_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H84 zenon_H54 zenon_H273 zenon_H68 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_Hb zenon_H82. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.36 apply (zenon_L697_); trivial. % 1.13/1.36 apply (zenon_L29_); trivial. % 1.13/1.36 (* end of lemma zenon_L698_ *) % 1.13/1.36 assert (zenon_L699_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H87 zenon_H54 zenon_H273 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_Hb zenon_H82 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.36 apply (zenon_L25_); trivial. % 1.13/1.36 apply (zenon_L698_); trivial. % 1.13/1.36 (* end of lemma zenon_L699_ *) % 1.13/1.36 assert (zenon_L700_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H94 zenon_H54 zenon_H53 zenon_H261 zenon_H5 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H273 zenon_H68 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.36 apply (zenon_L589_); trivial. % 1.13/1.36 apply (zenon_L416_); trivial. % 1.13/1.36 (* end of lemma zenon_L700_ *) % 1.13/1.36 assert (zenon_L701_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H137 zenon_H1c1 zenon_H87 zenon_H273 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H82 zenon_H68 zenon_H6a zenon_H1a6 zenon_H261 zenon_H98 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.36 apply (zenon_L322_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.36 apply (zenon_L699_); trivial. % 1.13/1.36 apply (zenon_L700_); trivial. % 1.13/1.36 apply (zenon_L113_); trivial. % 1.13/1.36 (* end of lemma zenon_L701_ *) % 1.13/1.36 assert (zenon_L702_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H52 zenon_H4e zenon_Hb zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_He2 zenon_H212 zenon_H53 zenon_H54. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_L358_); trivial. % 1.13/1.36 apply (zenon_L17_); trivial. % 1.13/1.36 (* end of lemma zenon_L702_ *) % 1.13/1.36 assert (zenon_L703_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H3d zenon_H132 zenon_Hd3 zenon_Hd4 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H112 zenon_H113 zenon_H114 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.36 apply (zenon_L332_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.36 apply (zenon_L625_); trivial. % 1.13/1.36 apply (zenon_L59_); trivial. % 1.13/1.36 (* end of lemma zenon_L703_ *) % 1.13/1.36 assert (zenon_L704_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.13/1.36 do 0 intro. intros zenon_Hdd zenon_H54 zenon_H53 zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H112 zenon_H113 zenon_H114 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.36 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.36 apply (zenon_L27_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L320_); trivial. % 1.13/1.36 apply (zenon_L703_); trivial. % 1.13/1.36 (* end of lemma zenon_L704_ *) % 1.13/1.36 assert (zenon_L705_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp21)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H134 zenon_H54 zenon_H53 zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H112 zenon_H113 zenon_H114 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1d zenon_H76 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H64 zenon_Hb zenon_Hf1 zenon_Hcd. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.36 apply (zenon_L624_); trivial. % 1.13/1.36 apply (zenon_L704_); trivial. % 1.13/1.36 (* end of lemma zenon_L705_ *) % 1.13/1.36 assert (zenon_L706_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H87 zenon_H82 zenon_Hcd zenon_Hf1 zenon_Hb zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H12d zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H76 zenon_H1d zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H114 zenon_H113 zenon_H112 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132 zenon_H53 zenon_H54 zenon_H134. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.36 apply (zenon_L705_); trivial. % 1.13/1.36 apply (zenon_L30_); trivial. % 1.13/1.36 (* end of lemma zenon_L706_ *) % 1.13/1.36 assert (zenon_L707_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H13d zenon_H52 zenon_H4e zenon_H4b zenon_H134 zenon_H54 zenon_H53 zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H112 zenon_H113 zenon_H114 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H76 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_Hb zenon_Hf1 zenon_Hcd zenon_H82 zenon_H87. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_L706_); trivial. % 1.13/1.36 apply (zenon_L17_); trivial. % 1.13/1.36 (* end of lemma zenon_L707_ *) % 1.13/1.36 assert (zenon_L708_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a365)) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (~(hskp16)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28)))))) -> (c2_1 (a363)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H132 zenon_H34 zenon_H36 zenon_H35 zenon_H5 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10c zenon_H10 zenon_H1b8 zenon_H27 zenon_H1ba. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.36 apply (zenon_L324_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.36 apply (zenon_L478_); trivial. % 1.13/1.36 apply (zenon_L455_); trivial. % 1.13/1.36 (* end of lemma zenon_L708_ *) % 1.13/1.36 assert (zenon_L709_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp16)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H3d zenon_H1e3 zenon_H1ba zenon_H1b8 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H5 zenon_H132 zenon_Hfb zenon_Hfa zenon_Hf9. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.13/1.36 apply (zenon_L708_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.13/1.36 apply (zenon_L59_); trivial. % 1.13/1.36 apply (zenon_L13_); trivial. % 1.13/1.36 (* end of lemma zenon_L709_ *) % 1.13/1.36 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp29)) -> (~(hskp10)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H2c3 zenon_H318 zenon_H9d zenon_H205. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H102 | zenon_intro zenon_H319 ]. % 1.13/1.36 apply (zenon_L327_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H9e | zenon_intro zenon_H206 ]. % 1.13/1.36 exact (zenon_H9d zenon_H9e). % 1.13/1.36 exact (zenon_H205 zenon_H206). % 1.13/1.36 (* end of lemma zenon_L710_ *) % 1.13/1.36 assert (zenon_L711_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a418))) -> (~(c3_1 (a418))) -> (c0_1 (a418)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H2c6 zenon_H318 zenon_H205 zenon_H9d zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H2c7. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.13/1.36 apply (zenon_L627_); trivial. % 1.13/1.36 apply (zenon_L710_); trivial. % 1.13/1.36 (* end of lemma zenon_L711_ *) % 1.13/1.36 assert (zenon_L712_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H273 zenon_H114 zenon_H113 zenon_H112 zenon_Hbd zenon_H10 zenon_H9 zenon_H68. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.13/1.36 apply (zenon_L64_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.13/1.36 exact (zenon_H9 zenon_Ha). % 1.13/1.36 exact (zenon_H68 zenon_H69). % 1.13/1.36 (* end of lemma zenon_L712_ *) % 1.13/1.36 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.13/1.36 do 0 intro. intros zenon_Hcc zenon_Hc8 zenon_H8b zenon_H8a zenon_H89 zenon_H273 zenon_H114 zenon_H113 zenon_H112 zenon_H9 zenon_H68. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.13/1.36 apply (zenon_L33_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.13/1.36 apply (zenon_L46_); trivial. % 1.13/1.36 apply (zenon_L712_); trivial. % 1.13/1.36 (* end of lemma zenon_L713_ *) % 1.13/1.36 assert (zenon_L714_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp24)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1f0 zenon_Hd0 zenon_Hc8 zenon_H112 zenon_H113 zenon_H114 zenon_H9 zenon_H68 zenon_H273 zenon_H8b zenon_H8a zenon_H89 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H205 zenon_H318 zenon_H2c6. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.36 apply (zenon_L711_); trivial. % 1.13/1.36 apply (zenon_L713_); trivial. % 1.13/1.36 (* end of lemma zenon_L714_ *) % 1.13/1.36 assert (zenon_L715_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp24)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H204 zenon_Hd0 zenon_Hc8 zenon_H112 zenon_H113 zenon_H114 zenon_H9 zenon_H68 zenon_H273 zenon_H8b zenon_H8a zenon_H89 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H205 zenon_H318 zenon_H2c6 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H1e2 zenon_Ha3 zenon_Ha4 zenon_H1e3 zenon_H53. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.13/1.36 apply (zenon_L131_); trivial. % 1.13/1.36 apply (zenon_L714_); trivial. % 1.13/1.36 (* end of lemma zenon_L715_ *) % 1.13/1.36 assert (zenon_L716_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H94 zenon_H52 zenon_H9b zenon_H99 zenon_H204 zenon_Hd0 zenon_Hc8 zenon_H112 zenon_H113 zenon_H114 zenon_H68 zenon_H273 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H205 zenon_H318 zenon_H2c6 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e2 zenon_Ha3 zenon_Ha4 zenon_H1e3 zenon_H53 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H5 zenon_H261 zenon_H54. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.36 apply (zenon_L715_); trivial. % 1.13/1.36 apply (zenon_L416_); trivial. % 1.13/1.36 apply (zenon_L38_); trivial. % 1.13/1.36 (* end of lemma zenon_L716_ *) % 1.13/1.36 assert (zenon_L717_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (~(hskp26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c0_1 (a399))) -> (~(c3_1 (a399))) -> (c1_1 (a399)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H53 zenon_H1e3 zenon_Ha4 zenon_Ha3 zenon_H1e0 zenon_H1e2 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L320_); trivial. % 1.13/1.36 apply (zenon_L130_); trivial. % 1.13/1.36 (* end of lemma zenon_L717_ *) % 1.13/1.36 assert (zenon_L718_ : ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (c3_1 (a410)) -> (c2_1 (a410)) -> (c0_1 (a410)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H11 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H10 zenon_H5. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10d ]. % 1.13/1.36 apply (zenon_L390_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H6 ]. % 1.13/1.36 apply (zenon_L327_); trivial. % 1.13/1.36 exact (zenon_H5 zenon_H6). % 1.13/1.36 (* end of lemma zenon_L718_ *) % 1.13/1.36 assert (zenon_L719_ : ((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp16)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp28)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H2c3 zenon_H1f zenon_H5 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1b. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.36 apply (zenon_L718_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.36 apply (zenon_L319_); trivial. % 1.13/1.36 exact (zenon_H1b zenon_H1c). % 1.13/1.36 (* end of lemma zenon_L719_ *) % 1.13/1.36 assert (zenon_L720_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a418))) -> (~(c3_1 (a418))) -> (c0_1 (a418)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H2c6 zenon_H1f zenon_H1b zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H5 zenon_H10c zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H2c7. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.13/1.36 apply (zenon_L627_); trivial. % 1.13/1.36 apply (zenon_L719_); trivial. % 1.13/1.36 (* end of lemma zenon_L720_ *) % 1.13/1.36 assert (zenon_L721_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a372)) -> (c1_1 (a372)) -> (c0_1 (a372)) -> (ndr1_0) -> (c0_1 (a373)) -> (c1_1 (a373)) -> (c3_1 (a373)) -> False). % 1.13/1.36 do 0 intro. intros zenon_Hc8 zenon_H157 zenon_H7a zenon_H79 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H10 zenon_Hbe zenon_Hbf zenon_Hc0. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.13/1.36 apply (zenon_L303_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.13/1.36 apply (zenon_L46_); trivial. % 1.13/1.36 apply (zenon_L47_); trivial. % 1.13/1.36 (* end of lemma zenon_L721_ *) % 1.13/1.36 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.13/1.36 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_H212 zenon_He2 zenon_H36 zenon_H35 zenon_H34 zenon_H79 zenon_H7a zenon_Hc8 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.13/1.36 apply (zenon_L45_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.13/1.36 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.13/1.36 apply (zenon_L721_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.13/1.36 apply (zenon_L13_); trivial. % 1.13/1.36 exact (zenon_He2 zenon_He3). % 1.13/1.36 (* end of lemma zenon_L722_ *) % 1.13/1.36 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1f0 zenon_H53 zenon_Hd0 zenon_Hcd zenon_H212 zenon_He2 zenon_H79 zenon_H7a zenon_Hc8 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1 zenon_H205 zenon_H318 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10c zenon_H5 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H2c6. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L720_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.36 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.36 apply (zenon_L711_); trivial. % 1.13/1.36 apply (zenon_L722_); trivial. % 1.13/1.36 (* end of lemma zenon_L723_ *) % 1.13/1.36 assert (zenon_L724_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp23)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H3d zenon_H1cc zenon_He2 zenon_H160 zenon_H1cf zenon_H1ce zenon_H4b zenon_H212 zenon_H14c zenon_H14b zenon_H14a zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_Haf. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.36 apply (zenon_L360_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.36 apply (zenon_L76_); trivial. % 1.13/1.36 apply (zenon_L489_); trivial. % 1.13/1.36 (* end of lemma zenon_L724_ *) % 1.13/1.36 assert (zenon_L725_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H140 zenon_H136 zenon_H1e3 zenon_H134 zenon_H1f zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1cc zenon_H53 zenon_H227 zenon_H52 zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.36 apply (zenon_L323_); trivial. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L126_); trivial. % 1.13/1.36 apply (zenon_L724_); trivial. % 1.13/1.36 apply (zenon_L435_); trivial. % 1.13/1.36 apply (zenon_L516_); trivial. % 1.13/1.36 apply (zenon_L520_); trivial. % 1.13/1.36 (* end of lemma zenon_L725_ *) % 1.13/1.36 assert (zenon_L726_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp16)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H12d zenon_H5 zenon_H11 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.36 apply (zenon_L559_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.36 apply (zenon_L473_); trivial. % 1.13/1.36 exact (zenon_Haf zenon_Hb0). % 1.13/1.36 (* end of lemma zenon_L726_ *) % 1.13/1.36 assert (zenon_L727_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp23)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.36 do 0 intro. intros zenon_H1f zenon_Haf zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H5 zenon_H12d zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.36 apply (zenon_L726_); trivial. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.36 apply (zenon_L319_); trivial. % 1.13/1.36 exact (zenon_H1b zenon_H1c). % 1.13/1.36 (* end of lemma zenon_L727_ *) % 1.13/1.36 assert (zenon_L728_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H53 zenon_H3e zenon_H3 zenon_H12d zenon_Haf zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.36 apply (zenon_L727_); trivial. % 1.13/1.36 apply (zenon_L14_); trivial. % 1.13/1.36 (* end of lemma zenon_L728_ *) % 1.13/1.36 assert (zenon_L729_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H134 zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H10 zenon_H12d zenon_H3 zenon_H3e zenon_H53. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.36 apply (zenon_L728_); trivial. % 1.13/1.36 apply (zenon_L436_); trivial. % 1.13/1.36 (* end of lemma zenon_L729_ *) % 1.13/1.36 assert (zenon_L730_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H13d zenon_H134 zenon_H53 zenon_H3e zenon_H3 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.36 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.36 apply (zenon_L532_); trivial. % 1.13/1.36 apply (zenon_L436_); trivial. % 1.13/1.36 (* end of lemma zenon_L730_ *) % 1.13/1.36 assert (zenon_L731_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.36 do 0 intro. intros zenon_H137 zenon_H1c1 zenon_H53 zenon_H3e zenon_H3 zenon_H12d zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H1ce zenon_H1cf zenon_H134. % 1.13/1.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_L729_); trivial. % 1.13/1.37 apply (zenon_L730_); trivial. % 1.13/1.37 (* end of lemma zenon_L731_ *) % 1.13/1.37 assert (zenon_L732_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp16)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(hskp3)) -> False). % 1.13/1.37 do 0 intro. intros zenon_H160 zenon_H5 zenon_H1a2 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H14b zenon_H14c zenon_H14a zenon_H10 zenon_H157 zenon_H4b. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.13/1.37 apply (zenon_L391_); trivial. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.13/1.37 apply (zenon_L79_); trivial. % 1.13/1.37 exact (zenon_H4b zenon_H4c). % 1.13/1.37 (* end of lemma zenon_L732_ *) % 1.13/1.37 assert (zenon_L733_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.13/1.37 do 0 intro. intros zenon_H212 zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H5 zenon_H160 zenon_H36 zenon_H35 zenon_H34 zenon_H10 zenon_He2. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.13/1.37 apply (zenon_L732_); trivial. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.13/1.37 apply (zenon_L13_); trivial. % 1.13/1.37 exact (zenon_He2 zenon_He3). % 1.13/1.37 (* end of lemma zenon_L733_ *) % 1.13/1.37 assert (zenon_L734_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp13)) -> False). % 1.13/1.37 do 0 intro. intros zenon_H3d zenon_H232 zenon_H44 zenon_H43 zenon_H42 zenon_H1cf zenon_H1ce zenon_H212 zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H5 zenon_H160 zenon_He2. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.13/1.37 apply (zenon_L15_); trivial. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.13/1.37 apply (zenon_L360_); trivial. % 1.13/1.37 apply (zenon_L733_); trivial. % 1.13/1.37 (* end of lemma zenon_L734_ *) % 1.13/1.37 assert (zenon_L735_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H53 zenon_H1e3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H12d zenon_Haf zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.37 apply (zenon_L727_); trivial. % 1.13/1.37 apply (zenon_L144_); trivial. % 1.13/1.37 (* end of lemma zenon_L735_ *) % 1.13/1.37 assert (zenon_L736_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c2_1 (a358)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_Hdd zenon_H53 zenon_H1e3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d0 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc. % 1.13/1.37 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.37 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.37 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.37 apply (zenon_L433_); trivial. % 1.13/1.37 apply (zenon_L144_); trivial. % 1.13/1.37 (* end of lemma zenon_L736_ *) % 1.13/1.37 assert (zenon_L737_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H134 zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H10 zenon_H12d zenon_H1ce zenon_H1cf zenon_H1d0 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L735_); trivial. % 1.13/1.37 apply (zenon_L736_); trivial. % 1.13/1.37 (* end of lemma zenon_L737_ *) % 1.13/1.37 assert (zenon_L738_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H134. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_L737_); trivial. % 1.13/1.37 apply (zenon_L113_); trivial. % 1.13/1.37 (* end of lemma zenon_L738_ *) % 1.13/1.37 assert (zenon_L739_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H87 zenon_H54 zenon_H53 zenon_H17e zenon_H17c zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.37 apply (zenon_L27_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.37 apply (zenon_L320_); trivial. % 1.13/1.37 apply (zenon_L403_); trivial. % 1.13/1.37 (* end of lemma zenon_L739_ *) % 1.13/1.37 assert (zenon_L740_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H54 zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H10 zenon_H68 zenon_H273. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.37 apply (zenon_L647_); trivial. % 1.13/1.37 apply (zenon_L421_); trivial. % 1.13/1.37 (* end of lemma zenon_L740_ *) % 1.13/1.37 assert (zenon_L741_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13a zenon_H137 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H1c1 zenon_H12c zenon_H1b1 zenon_Hcd zenon_H273 zenon_H68 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H53 zenon_H54. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_L740_); trivial. % 1.13/1.37 apply (zenon_L486_); trivial. % 1.13/1.37 (* end of lemma zenon_L741_ *) % 1.13/1.37 assert (zenon_L742_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H25d zenon_H134 zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H3 zenon_H3e zenon_H53. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L728_); trivial. % 1.13/1.37 apply (zenon_L565_); trivial. % 1.13/1.37 (* end of lemma zenon_L742_ *) % 1.13/1.37 assert (zenon_L743_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H3 zenon_H3e zenon_H53 zenon_H234 zenon_H1 zenon_He2 zenon_H153 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.37 apply (zenon_L605_); trivial. % 1.13/1.37 apply (zenon_L742_); trivial. % 1.13/1.37 (* end of lemma zenon_L743_ *) % 1.13/1.37 assert (zenon_L744_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H54 zenon_H53 zenon_H3e zenon_H3 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_Hcd zenon_H273 zenon_H68 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H79 zenon_H7a zenon_H7b zenon_H30a zenon_H250 zenon_H153 zenon_H2cb zenon_Hd0. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.37 apply (zenon_L548_); trivial. % 1.13/1.37 apply (zenon_L321_); trivial. % 1.13/1.37 (* end of lemma zenon_L744_ *) % 1.13/1.37 assert (zenon_L745_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H25d zenon_H134 zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2f0 zenon_H2ee zenon_H22 zenon_H21 zenon_H20 zenon_H2fa zenon_H12d. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L532_); trivial. % 1.13/1.37 apply (zenon_L565_); trivial. % 1.13/1.37 (* end of lemma zenon_L745_ *) % 1.13/1.37 assert (zenon_L746_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H153 zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3 zenon_H3e zenon_H53 zenon_H54 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.37 apply (zenon_L744_); trivial. % 1.13/1.37 apply (zenon_L745_); trivial. % 1.13/1.37 (* end of lemma zenon_L746_ *) % 1.13/1.37 assert (zenon_L747_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13d zenon_H98 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3 zenon_H3e zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H16c zenon_H9f zenon_H17c zenon_H17e zenon_H171. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.37 apply (zenon_L746_); trivial. % 1.13/1.37 apply (zenon_L542_); trivial. % 1.13/1.37 apply (zenon_L90_); trivial. % 1.13/1.37 (* end of lemma zenon_L747_ *) % 1.13/1.37 assert (zenon_L748_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H137 zenon_H1c1 zenon_H30a zenon_H12c zenon_H273 zenon_Hcd zenon_H54 zenon_H171 zenon_H17e zenon_H17c zenon_H9f zenon_H16c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H53 zenon_H3e zenon_H3 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H98. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.37 apply (zenon_L743_); trivial. % 1.13/1.37 apply (zenon_L542_); trivial. % 1.13/1.37 apply (zenon_L90_); trivial. % 1.13/1.37 apply (zenon_L747_); trivial. % 1.13/1.37 (* end of lemma zenon_L748_ *) % 1.13/1.37 assert (zenon_L749_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H55 zenon_H53 zenon_H303 zenon_H250 zenon_H5b zenon_H5a zenon_H59 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.37 apply (zenon_L320_); trivial. % 1.13/1.37 apply (zenon_L504_); trivial. % 1.13/1.37 (* end of lemma zenon_L749_ *) % 1.13/1.37 assert (zenon_L750_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H54 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_Hcd zenon_H273 zenon_H68 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H79 zenon_H7a zenon_H7b zenon_H30a zenon_H250 zenon_H153 zenon_H2cb zenon_Hd0. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.37 apply (zenon_L548_); trivial. % 1.13/1.37 apply (zenon_L749_); trivial. % 1.13/1.37 (* end of lemma zenon_L750_ *) % 1.13/1.37 assert (zenon_L751_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H153 zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H54 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.37 apply (zenon_L750_); trivial. % 1.13/1.37 apply (zenon_L745_); trivial. % 1.13/1.37 (* end of lemma zenon_L751_ *) % 1.13/1.37 assert (zenon_L752_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13d zenon_H98 zenon_H17e zenon_H17c zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H2d1 zenon_H171. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.13/1.37 apply (zenon_L751_); trivial. % 1.13/1.37 apply (zenon_L373_); trivial. % 1.13/1.37 apply (zenon_L90_); trivial. % 1.13/1.37 (* end of lemma zenon_L752_ *) % 1.13/1.37 assert (zenon_L753_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13a zenon_H137 zenon_H98 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H3 zenon_H3e zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H16c zenon_H9f zenon_H17c zenon_H17e zenon_H171 zenon_H273 zenon_H68 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H53 zenon_H54. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_L740_); trivial. % 1.13/1.37 apply (zenon_L747_); trivial. % 1.13/1.37 (* end of lemma zenon_L753_ *) % 1.13/1.37 assert (zenon_L754_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H140 zenon_H52 zenon_H232 zenon_H227 zenon_H23 zenon_H148 zenon_H303 zenon_H2d1 zenon_H62 zenon_H98 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H3 zenon_H3e zenon_H53 zenon_H234 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H16c zenon_H17c zenon_H17e zenon_H171 zenon_H54 zenon_Hcd zenon_H273 zenon_H12c zenon_H30a zenon_H1c1 zenon_H137 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H136. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.37 apply (zenon_L748_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_L562_); trivial. % 1.13/1.37 apply (zenon_L752_); trivial. % 1.13/1.37 apply (zenon_L753_); trivial. % 1.13/1.37 apply (zenon_L376_); trivial. % 1.13/1.37 (* end of lemma zenon_L754_ *) % 1.13/1.37 assert (zenon_L755_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H53 zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_He2 zenon_H1 zenon_H234 zenon_H12d zenon_Haf zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.37 apply (zenon_L727_); trivial. % 1.13/1.37 apply (zenon_L382_); trivial. % 1.13/1.37 (* end of lemma zenon_L755_ *) % 1.13/1.37 assert (zenon_L756_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H84 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H234 zenon_H1 zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H53. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L755_); trivial. % 1.13/1.37 apply (zenon_L579_); trivial. % 1.13/1.37 (* end of lemma zenon_L756_ *) % 1.13/1.37 assert (zenon_L757_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H87 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H234 zenon_H1 zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H53 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_L756_); trivial. % 1.13/1.37 (* end of lemma zenon_L757_ *) % 1.13/1.37 assert (zenon_L758_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a418)) -> (~(c3_1 (a418))) -> (~(c2_1 (a418))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H3d zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_He2 zenon_H212 zenon_H2c7 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H205 zenon_H318 zenon_H2c6. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.37 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.13/1.37 apply (zenon_L711_); trivial. % 1.13/1.37 apply (zenon_L381_); trivial. % 1.13/1.37 (* end of lemma zenon_L758_ *) % 1.13/1.37 assert (zenon_L759_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H1f0 zenon_H53 zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_He2 zenon_H212 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H205 zenon_H318 zenon_H2c6 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.37 apply (zenon_L126_); trivial. % 1.13/1.37 apply (zenon_L758_); trivial. % 1.13/1.37 (* end of lemma zenon_L759_ *) % 1.13/1.37 assert (zenon_L760_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H204 zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_He2 zenon_H212 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H205 zenon_H318 zenon_H2c6 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H1e2 zenon_Ha3 zenon_Ha4 zenon_H1e3 zenon_H53. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.13/1.37 apply (zenon_L131_); trivial. % 1.13/1.37 apply (zenon_L759_); trivial. % 1.13/1.37 (* end of lemma zenon_L760_ *) % 1.13/1.37 assert (zenon_L761_ : ((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H142 zenon_H52 zenon_H232 zenon_H160 zenon_H4b zenon_H5b zenon_H5a zenon_H59 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H6d zenon_H6e zenon_H6f zenon_H5 zenon_H10c zenon_H227 zenon_H53 zenon_H1e3 zenon_H1e2 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2c6 zenon_H318 zenon_H205 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H2c7 zenon_H212 zenon_He2 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H204. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.37 apply (zenon_L760_); trivial. % 1.13/1.37 apply (zenon_L393_); trivial. % 1.13/1.37 (* end of lemma zenon_L761_ *) % 1.13/1.37 assert (zenon_L762_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H273 zenon_H68 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H53 zenon_H54. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_L740_); trivial. % 1.13/1.37 apply (zenon_L113_); trivial. % 1.13/1.37 (* end of lemma zenon_L762_ *) % 1.13/1.37 assert (zenon_L763_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H54 zenon_H53 zenon_H303 zenon_H250 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H273 zenon_H68 zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H59 zenon_H5a zenon_H5b zenon_H3 zenon_H62. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.13/1.37 apply (zenon_L561_); trivial. % 1.13/1.37 apply (zenon_L749_); trivial. % 1.13/1.37 (* end of lemma zenon_L763_ *) % 1.13/1.37 assert (zenon_L764_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_Haf zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.37 apply (zenon_L727_); trivial. % 1.13/1.37 apply (zenon_L142_); trivial. % 1.13/1.37 (* end of lemma zenon_L764_ *) % 1.13/1.37 assert (zenon_L765_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H25d zenon_H134 zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L764_); trivial. % 1.13/1.37 apply (zenon_L565_); trivial. % 1.13/1.37 (* end of lemma zenon_L765_ *) % 1.13/1.37 assert (zenon_L766_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H54 zenon_H53 zenon_H303 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H273 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H59 zenon_H5a zenon_H5b zenon_H3 zenon_H62 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.13/1.37 apply (zenon_L763_); trivial. % 1.13/1.37 apply (zenon_L765_); trivial. % 1.13/1.37 apply (zenon_L90_); trivial. % 1.13/1.37 (* end of lemma zenon_L766_ *) % 1.13/1.37 assert (zenon_L767_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H2d1 zenon_H171 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H12d zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H62 zenon_H3 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H273 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H303 zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_L766_); trivial. % 1.13/1.37 apply (zenon_L752_); trivial. % 1.13/1.37 (* end of lemma zenon_L767_ *) % 1.13/1.37 assert (zenon_L768_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H84 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L764_); trivial. % 1.13/1.37 apply (zenon_L579_); trivial. % 1.13/1.37 (* end of lemma zenon_L768_ *) % 1.13/1.37 assert (zenon_L769_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H84 zenon_H134 zenon_H2a1 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H1ce zenon_H1cf zenon_H1d0 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L735_); trivial. % 1.13/1.37 apply (zenon_L579_); trivial. % 1.13/1.37 (* end of lemma zenon_L769_ *) % 1.13/1.37 assert (zenon_L770_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13a zenon_H137 zenon_H87 zenon_H134 zenon_H2a1 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H53 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_L769_); trivial. % 1.13/1.37 apply (zenon_L90_); trivial. % 1.13/1.37 apply (zenon_L113_); trivial. % 1.13/1.37 (* end of lemma zenon_L770_ *) % 1.13/1.37 assert (zenon_L771_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H19f zenon_H136 zenon_H1e3 zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H53 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1c1 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2a1 zenon_H134 zenon_H87 zenon_H137. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.37 apply (zenon_L25_); trivial. % 1.13/1.37 apply (zenon_L768_); trivial. % 1.13/1.37 apply (zenon_L90_); trivial. % 1.13/1.37 apply (zenon_L113_); trivial. % 1.13/1.37 apply (zenon_L770_); trivial. % 1.13/1.37 (* end of lemma zenon_L771_ *) % 1.13/1.37 assert (zenon_L772_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H214 zenon_H19d zenon_H136 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H137 zenon_H1c1 zenon_H30a zenon_H12c zenon_H273 zenon_Hcd zenon_H54 zenon_H171 zenon_H17e zenon_H17c zenon_H16c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H53 zenon_H3e zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H98 zenon_H303 zenon_H62 zenon_H212 zenon_H2d1 zenon_H148 zenon_H52 zenon_H227 zenon_H23 zenon_H140. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.13/1.37 apply (zenon_L748_); trivial. % 1.13/1.37 apply (zenon_L767_); trivial. % 1.13/1.37 apply (zenon_L753_); trivial. % 1.13/1.37 apply (zenon_L209_); trivial. % 1.13/1.37 apply (zenon_L771_); trivial. % 1.13/1.37 (* end of lemma zenon_L772_ *) % 1.13/1.37 assert (zenon_L773_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H19f zenon_H137 zenon_Hb1 zenon_H12c zenon_H1b1 zenon_Hcd zenon_H87 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1c1 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H68 zenon_H6a zenon_H273 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H261 zenon_H53 zenon_H54 zenon_H98. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_L573_); trivial. % 1.13/1.37 apply (zenon_L417_); trivial. % 1.13/1.37 apply (zenon_L486_); trivial. % 1.13/1.37 (* end of lemma zenon_L773_ *) % 1.13/1.37 assert (zenon_L774_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H137 zenon_H87 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H6a zenon_H261 zenon_H98 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.37 apply (zenon_L424_); trivial. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.37 apply (zenon_L581_); trivial. % 1.13/1.37 apply (zenon_L417_); trivial. % 1.13/1.37 apply (zenon_L113_); trivial. % 1.13/1.37 (* end of lemma zenon_L774_ *) % 1.13/1.37 assert (zenon_L775_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H140 zenon_H134 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1cc zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.37 apply (zenon_L323_); trivial. % 1.13/1.37 apply (zenon_L661_); trivial. % 1.13/1.37 (* end of lemma zenon_L775_ *) % 1.13/1.37 assert (zenon_L776_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H13d zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L532_); trivial. % 1.13/1.37 apply (zenon_L122_); trivial. % 1.13/1.37 (* end of lemma zenon_L776_ *) % 1.13/1.37 assert (zenon_L777_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H137 zenon_H1c1 zenon_H53 zenon_H3e zenon_H3 zenon_H12d zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.37 apply (zenon_L728_); trivial. % 1.13/1.37 apply (zenon_L122_); trivial. % 1.13/1.37 apply (zenon_L776_); trivial. % 1.13/1.37 (* end of lemma zenon_L777_ *) % 1.13/1.37 assert (zenon_L778_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.37 do 0 intro. intros zenon_H145 zenon_H137 zenon_H134 zenon_H1cc zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H232 zenon_H52. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.13/1.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.37 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.13/1.37 apply (zenon_L165_); trivial. % 1.13/1.37 apply (zenon_L393_); trivial. % 1.13/1.37 apply (zenon_L776_); trivial. % 1.13/1.37 (* end of lemma zenon_L778_ *) % 1.13/1.37 assert (zenon_L779_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (c2_1 (a364)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp23)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp10)) -> False). % 1.13/1.37 do 0 intro. intros zenon_H3d zenon_H207 zenon_H5 zenon_H12d zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2ee zenon_H2f0 zenon_H2d7 zenon_H2d6 zenon_H2d8 zenon_H1c1 zenon_H6e zenon_H6f zenon_H6d zenon_Haf zenon_H293 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H205. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H192 | zenon_intro zenon_H208 ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.13/1.38 apply (zenon_L399_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.13/1.38 apply (zenon_L472_); trivial. % 1.13/1.38 apply (zenon_L112_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.13/1.38 apply (zenon_L66_); trivial. % 1.13/1.38 exact (zenon_Haf zenon_Hb0). % 1.13/1.38 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.13/1.38 apply (zenon_L13_); trivial. % 1.13/1.38 exact (zenon_H5 zenon_H6). % 1.13/1.38 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H27 | zenon_intro zenon_H206 ]. % 1.13/1.38 apply (zenon_L125_); trivial. % 1.13/1.38 exact (zenon_H205 zenon_H206). % 1.13/1.38 (* end of lemma zenon_L779_ *) % 1.13/1.38 assert (zenon_L780_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H10 zenon_H12d zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.38 apply (zenon_L764_); trivial. % 1.13/1.38 apply (zenon_L122_); trivial. % 1.13/1.38 (* end of lemma zenon_L780_ *) % 1.13/1.38 assert (zenon_L781_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H10 zenon_H12d zenon_H1ce zenon_H1cf zenon_H1d0 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.38 apply (zenon_L735_); trivial. % 1.13/1.38 apply (zenon_L122_); trivial. % 1.13/1.38 (* end of lemma zenon_L781_ *) % 1.13/1.38 assert (zenon_L782_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L781_); trivial. % 1.13/1.38 apply (zenon_L776_); trivial. % 1.13/1.38 (* end of lemma zenon_L782_ *) % 1.13/1.38 assert (zenon_L783_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H214 zenon_H136 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H212 zenon_H53 zenon_H1c1 zenon_H137. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L780_); trivial. % 1.13/1.38 apply (zenon_L776_); trivial. % 1.13/1.38 apply (zenon_L782_); trivial. % 1.13/1.38 (* end of lemma zenon_L783_ *) % 1.13/1.38 assert (zenon_L784_ : ((ndr1_0)/\((c2_1 (a364))/\((~(c0_1 (a364)))/\(~(c1_1 (a364)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H30c zenon_H217 zenon_H136 zenon_H1e3 zenon_H212 zenon_H137 zenon_H1c1 zenon_H53 zenon_H3e zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134 zenon_H293 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H207 zenon_H19d. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.38 apply (zenon_L777_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.38 apply (zenon_L727_); trivial. % 1.13/1.38 apply (zenon_L779_); trivial. % 1.13/1.38 apply (zenon_L122_); trivial. % 1.13/1.38 apply (zenon_L113_); trivial. % 1.13/1.38 apply (zenon_L783_); trivial. % 1.13/1.38 (* end of lemma zenon_L784_ *) % 1.13/1.38 assert (zenon_L785_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H19d zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hf1 zenon_H76 zenon_H87 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.38 apply (zenon_L322_); trivial. % 1.13/1.38 apply (zenon_L258_); trivial. % 1.13/1.38 (* end of lemma zenon_L785_ *) % 1.13/1.38 assert (zenon_L786_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp16)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35)))))) -> (ndr1_0) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> False). % 1.13/1.38 do 0 intro. intros zenon_H132 zenon_H281 zenon_H280 zenon_H27f zenon_H5 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H11 zenon_H10 zenon_H1b8 zenon_H1ba zenon_H1b9. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.13/1.38 apply (zenon_L272_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.13/1.38 apply (zenon_L559_); trivial. % 1.13/1.38 apply (zenon_L390_); trivial. % 1.13/1.38 (* end of lemma zenon_L786_ *) % 1.13/1.38 assert (zenon_L787_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp16)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.13/1.38 do 0 intro. intros zenon_H1f zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H5 zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.38 apply (zenon_L786_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.38 apply (zenon_L319_); trivial. % 1.13/1.38 exact (zenon_H1b zenon_H1c). % 1.13/1.38 (* end of lemma zenon_L787_ *) % 1.13/1.38 assert (zenon_L788_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H53 zenon_H82 zenon_Hb zenon_H293 zenon_H132 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.38 apply (zenon_L787_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.13/1.38 apply (zenon_L289_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.13/1.38 apply (zenon_L786_); trivial. % 1.13/1.38 exact (zenon_Hb zenon_Hc). % 1.13/1.38 (* end of lemma zenon_L788_ *) % 1.13/1.38 assert (zenon_L789_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H13d zenon_H53 zenon_H3e zenon_H3 zenon_H132 zenon_H2ee zenon_H2f0 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H281 zenon_H280 zenon_H27f zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.13/1.38 apply (zenon_L662_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.13/1.38 apply (zenon_L319_); trivial. % 1.13/1.38 exact (zenon_H1b zenon_H1c). % 1.13/1.38 apply (zenon_L14_); trivial. % 1.13/1.38 (* end of lemma zenon_L789_ *) % 1.13/1.38 assert (zenon_L790_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H53 zenon_H82 zenon_Hb zenon_H293 zenon_H132 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H281 zenon_H280 zenon_H27f zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1c1 zenon_H3e zenon_H137. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L788_); trivial. % 1.13/1.38 apply (zenon_L789_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L788_); trivial. % 1.13/1.38 apply (zenon_L113_); trivial. % 1.13/1.38 (* end of lemma zenon_L790_ *) % 1.13/1.38 assert (zenon_L791_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H1c6 zenon_H137 zenon_H1c1 zenon_H273 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H1a6 zenon_H261 zenon_H54 zenon_H53 zenon_H3e zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_Hb zenon_Hd zenon_H2b4 zenon_H52 zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H76 zenon_H82 zenon_H87 zenon_H17c zenon_H17e zenon_H98 zenon_H140 zenon_H19d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.13/1.38 apply (zenon_L445_); trivial. % 1.13/1.38 apply (zenon_L701_); trivial. % 1.13/1.38 (* end of lemma zenon_L791_ *) % 1.13/1.38 assert (zenon_L792_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H94 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_Hb zenon_H1a6 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.38 apply (zenon_L571_); trivial. % 1.13/1.38 apply (zenon_L110_); trivial. % 1.13/1.38 (* end of lemma zenon_L792_ *) % 1.13/1.38 assert (zenon_L793_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H135 zenon_H98 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.38 apply (zenon_L443_); trivial. % 1.13/1.38 apply (zenon_L792_); trivial. % 1.13/1.38 (* end of lemma zenon_L793_ *) % 1.13/1.38 assert (zenon_L794_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H19d zenon_H140 zenon_H98 zenon_H134 zenon_H1b5 zenon_H1a6 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H87 zenon_H82 zenon_Hb zenon_H76 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52 zenon_H1b3 zenon_H2b4 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.38 apply (zenon_L424_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.38 apply (zenon_L323_); trivial. % 1.13/1.38 apply (zenon_L793_); trivial. % 1.13/1.38 (* end of lemma zenon_L794_ *) % 1.13/1.38 assert (zenon_L795_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp7)) -> False). % 1.13/1.38 do 0 intro. intros zenon_H17e zenon_H5 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H14a zenon_H14b zenon_H14c zenon_H173 zenon_H174 zenon_H175 zenon_H1cc zenon_H17c. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.13/1.38 apply (zenon_L88_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.13/1.38 apply (zenon_L88_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.13/1.38 apply (zenon_L76_); trivial. % 1.13/1.38 apply (zenon_L291_); trivial. % 1.13/1.38 exact (zenon_H17c zenon_H17d). % 1.13/1.38 (* end of lemma zenon_L795_ *) % 1.13/1.38 assert (zenon_L796_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H19f zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H173 zenon_H174 zenon_H175 zenon_H1cc zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H14c zenon_H14b zenon_H14a zenon_H17c zenon_H17e. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L795_); trivial. % 1.13/1.38 apply (zenon_L113_); trivial. % 1.13/1.38 (* end of lemma zenon_L796_ *) % 1.13/1.38 assert (zenon_L797_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H137 zenon_H1c1 zenon_H173 zenon_H174 zenon_H175 zenon_H1cc zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H14c zenon_H14b zenon_H14a zenon_H17c zenon_H17e zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.38 apply (zenon_L322_); trivial. % 1.13/1.38 apply (zenon_L796_); trivial. % 1.13/1.38 (* end of lemma zenon_L797_ *) % 1.13/1.38 assert (zenon_L798_ : ((ndr1_0)/\((c3_1 (a361))/\((~(c1_1 (a361)))/\(~(c2_1 (a361)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H315 zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.38 apply (zenon_L571_); trivial. % 1.13/1.38 apply (zenon_L122_); trivial. % 1.13/1.38 (* end of lemma zenon_L798_ *) % 1.13/1.38 assert (zenon_L799_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.13/1.38 do 0 intro. intros zenon_Hdd zenon_H1b1 zenon_H1b3 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H68. % 1.13/1.38 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.13/1.38 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.13/1.38 apply (zenon_L492_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.13/1.38 apply (zenon_L492_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.13/1.38 apply (zenon_L284_); trivial. % 1.13/1.38 exact (zenon_H1b3 zenon_H1b4). % 1.13/1.38 exact (zenon_H68 zenon_H69). % 1.13/1.38 (* end of lemma zenon_L799_ *) % 1.13/1.38 assert (zenon_L800_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H84 zenon_H134 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H68 zenon_H1b1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.13/1.38 apply (zenon_L491_); trivial. % 1.13/1.38 apply (zenon_L799_); trivial. % 1.13/1.38 (* end of lemma zenon_L800_ *) % 1.13/1.38 assert (zenon_L801_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H87 zenon_H134 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H66 zenon_H68 zenon_H6a. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.13/1.38 apply (zenon_L25_); trivial. % 1.13/1.38 apply (zenon_L800_); trivial. % 1.13/1.38 (* end of lemma zenon_L801_ *) % 1.13/1.38 assert (zenon_L802_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H53 zenon_H2a1 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H261 zenon_H293 zenon_H132 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.13/1.38 apply (zenon_L787_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.13/1.38 apply (zenon_L289_); trivial. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.13/1.38 apply (zenon_L467_); trivial. % 1.13/1.38 apply (zenon_L292_); trivial. % 1.13/1.38 (* end of lemma zenon_L802_ *) % 1.13/1.38 assert (zenon_L803_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H53 zenon_H2a1 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H261 zenon_H293 zenon_H132 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H281 zenon_H280 zenon_H27f zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1c1 zenon_H3e zenon_H137. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L802_); trivial. % 1.13/1.38 apply (zenon_L789_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L802_); trivial. % 1.13/1.38 apply (zenon_L113_); trivial. % 1.13/1.38 (* end of lemma zenon_L803_ *) % 1.13/1.38 assert (zenon_L804_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1b1 zenon_H68 zenon_H1b3 zenon_H1b5 zenon_H6d zenon_H6e zenon_H6f zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_L631_); trivial. % 1.13/1.38 apply (zenon_L296_); trivial. % 1.13/1.38 (* end of lemma zenon_L804_ *) % 1.13/1.38 assert (zenon_L805_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H19f zenon_H136 zenon_H137 zenon_H1b1 zenon_H1b3 zenon_H1b5 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132 zenon_H87 zenon_H17e zenon_H17c zenon_H27f zenon_H280 zenon_H281 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H68 zenon_H6a zenon_H98. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.13/1.38 apply (zenon_L305_); trivial. % 1.13/1.38 apply (zenon_L804_); trivial. % 1.13/1.38 (* end of lemma zenon_L805_ *) % 1.13/1.38 assert (zenon_L806_ : ((ndr1_0)/\((c3_1 (a361))/\((~(c1_1 (a361)))/\(~(c2_1 (a361)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.13/1.38 do 0 intro. intros zenon_H315 zenon_H1c6 zenon_H293 zenon_H1e3 zenon_H132 zenon_H54 zenon_H53 zenon_H3e zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H68 zenon_H273 zenon_H2b4 zenon_H98 zenon_H261 zenon_H6a zenon_H1b1 zenon_H1b5 zenon_H1c1 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H134 zenon_H87 zenon_H137 zenon_H140 zenon_H19d. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.13/1.38 apply (zenon_L424_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.13/1.38 apply (zenon_L323_); trivial. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.13/1.38 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.13/1.38 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.13/1.38 apply (zenon_L801_); trivial. % 1.13/1.38 apply (zenon_L417_); trivial. % 1.13/1.38 apply (zenon_L577_); trivial. % 1.13/1.38 apply (zenon_L460_); trivial. % 1.13/1.38 (* end of lemma zenon_L806_ *) % 1.13/1.38 assert (zenon_L807_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (c3_1 (a353)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hd1 zenon_H10 zenon_H31a zenon_H31b zenon_H31c. % 1.22/1.38 generalize (zenon_Hd1 (a353)). zenon_intro zenon_H31d. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H31d); [ zenon_intro zenon_Hf | zenon_intro zenon_H31e ]. % 1.22/1.38 exact (zenon_Hf zenon_H10). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H320 | zenon_intro zenon_H31f ]. % 1.22/1.38 exact (zenon_H31a zenon_H320). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H322 | zenon_intro zenon_H321 ]. % 1.22/1.38 exact (zenon_H322 zenon_H31b). % 1.22/1.38 exact (zenon_H321 zenon_H31c). % 1.22/1.38 (* end of lemma zenon_L807_ *) % 1.22/1.38 assert (zenon_L808_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a353)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H162 zenon_H10 zenon_H31a zenon_Hd1 zenon_H31b. % 1.22/1.38 generalize (zenon_H162 (a353)). zenon_intro zenon_H323. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H323); [ zenon_intro zenon_Hf | zenon_intro zenon_H324 ]. % 1.22/1.38 exact (zenon_Hf zenon_H10). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H320 | zenon_intro zenon_H325 ]. % 1.22/1.38 exact (zenon_H31a zenon_H320). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H31c | zenon_intro zenon_H322 ]. % 1.22/1.38 apply (zenon_L807_); trivial. % 1.22/1.38 exact (zenon_H322 zenon_H31b). % 1.22/1.38 (* end of lemma zenon_L808_ *) % 1.22/1.38 assert (zenon_L809_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (~(hskp2)) -> (~(hskp19)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hde zenon_H31b zenon_H31a zenon_H10 zenon_H162 zenon_Hdb zenon_H1d. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd1 | zenon_intro zenon_He1 ]. % 1.22/1.38 apply (zenon_L808_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1e ]. % 1.22/1.38 exact (zenon_Hdb zenon_Hdc). % 1.22/1.38 exact (zenon_H1d zenon_H1e). % 1.22/1.38 (* end of lemma zenon_L809_ *) % 1.22/1.38 assert (zenon_L810_ : (forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H326 zenon_H10 zenon_H31a zenon_H327 zenon_H31b. % 1.22/1.38 generalize (zenon_H326 (a353)). zenon_intro zenon_H328. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H328); [ zenon_intro zenon_Hf | zenon_intro zenon_H329 ]. % 1.22/1.38 exact (zenon_Hf zenon_H10). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H320 | zenon_intro zenon_H32a ]. % 1.22/1.38 exact (zenon_H31a zenon_H320). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H32b | zenon_intro zenon_H322 ]. % 1.22/1.38 exact (zenon_H32b zenon_H327). % 1.22/1.38 exact (zenon_H322 zenon_H31b). % 1.22/1.38 (* end of lemma zenon_L810_ *) % 1.22/1.38 assert (zenon_L811_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1d7 zenon_H10 zenon_H31a zenon_Hd1 zenon_H31b zenon_H327. % 1.22/1.38 generalize (zenon_H1d7 (a353)). zenon_intro zenon_H32c. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H32c); [ zenon_intro zenon_Hf | zenon_intro zenon_H32d ]. % 1.22/1.38 exact (zenon_Hf zenon_H10). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H320 | zenon_intro zenon_H32e ]. % 1.22/1.38 exact (zenon_H31a zenon_H320). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31c | zenon_intro zenon_H32b ]. % 1.22/1.38 apply (zenon_L807_); trivial. % 1.22/1.38 exact (zenon_H32b zenon_H327). % 1.22/1.38 (* end of lemma zenon_L811_ *) % 1.22/1.38 assert (zenon_L812_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp19)) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H32f zenon_H1d zenon_Hdb zenon_Hde zenon_H1d7 zenon_H10 zenon_H31a zenon_H31b zenon_H327. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H162 | zenon_intro zenon_H330 ]. % 1.22/1.38 apply (zenon_L809_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H326 | zenon_intro zenon_Hd1 ]. % 1.22/1.38 apply (zenon_L810_); trivial. % 1.22/1.38 apply (zenon_L811_); trivial. % 1.22/1.38 (* end of lemma zenon_L812_ *) % 1.22/1.38 assert (zenon_L813_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a417))/\((~(c1_1 (a417)))/\(~(c3_1 (a417))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp3)\/(hskp19))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> (~(hskp19)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/((hskp2)\/(hskp25))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H203 zenon_H1ff zenon_H4b zenon_H32f zenon_H327 zenon_H10 zenon_H31a zenon_H31b zenon_Hdb zenon_H1d zenon_Hde zenon_H1f1. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fe ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1f4 ]. % 1.22/1.38 apply (zenon_L812_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1ef ]. % 1.22/1.38 exact (zenon_Hdb zenon_Hdc). % 1.22/1.38 exact (zenon_H1ee zenon_H1ef). % 1.22/1.38 apply (zenon_L136_); trivial. % 1.22/1.38 (* end of lemma zenon_L813_ *) % 1.22/1.38 assert (zenon_L814_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a353)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1d7 zenon_H10 zenon_H31a zenon_H224 zenon_H327. % 1.22/1.38 generalize (zenon_H1d7 (a353)). zenon_intro zenon_H32c. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H32c); [ zenon_intro zenon_Hf | zenon_intro zenon_H32d ]. % 1.22/1.38 exact (zenon_Hf zenon_H10). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H320 | zenon_intro zenon_H32e ]. % 1.22/1.38 exact (zenon_H31a zenon_H320). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31c | zenon_intro zenon_H32b ]. % 1.22/1.38 generalize (zenon_H224 (a353)). zenon_intro zenon_H331. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H331); [ zenon_intro zenon_Hf | zenon_intro zenon_H332 ]. % 1.22/1.38 exact (zenon_Hf zenon_H10). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H320 | zenon_intro zenon_H333 ]. % 1.22/1.38 exact (zenon_H31a zenon_H320). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_H32b | zenon_intro zenon_H321 ]. % 1.22/1.38 exact (zenon_H32b zenon_H327). % 1.22/1.38 exact (zenon_H321 zenon_H31c). % 1.22/1.38 exact (zenon_H32b zenon_H327). % 1.22/1.38 (* end of lemma zenon_L814_ *) % 1.22/1.38 assert (zenon_L815_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (c0_1 (a353)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H334 zenon_H44 zenon_H43 zenon_H42 zenon_H327 zenon_H224 zenon_H31a zenon_H10 zenon_H180. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H41 | zenon_intro zenon_H335 ]. % 1.22/1.38 apply (zenon_L15_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H181 ]. % 1.22/1.38 apply (zenon_L814_); trivial. % 1.22/1.38 exact (zenon_H180 zenon_H181). % 1.22/1.38 (* end of lemma zenon_L815_ *) % 1.22/1.38 assert (zenon_L816_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c1_1 (a353)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp1)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H4d zenon_H227 zenon_H1cc zenon_H4b zenon_H1ce zenon_H1cf zenon_H160 zenon_H14c zenon_H14b zenon_H14a zenon_H31b zenon_H334 zenon_H327 zenon_H31a zenon_H180. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.22/1.38 apply (zenon_L15_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H41 | zenon_intro zenon_H335 ]. % 1.22/1.38 apply (zenon_L15_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H181 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.38 apply (zenon_L155_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.38 apply (zenon_L76_); trivial. % 1.22/1.38 apply (zenon_L811_); trivial. % 1.22/1.38 exact (zenon_H180 zenon_H181). % 1.22/1.38 apply (zenon_L815_); trivial. % 1.22/1.38 (* end of lemma zenon_L816_ *) % 1.22/1.38 assert (zenon_L817_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H52 zenon_H227 zenon_H1cc zenon_H327 zenon_H31b zenon_H31a zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H180 zenon_H334 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L202_); trivial. % 1.22/1.38 apply (zenon_L816_); trivial. % 1.22/1.38 (* end of lemma zenon_L817_ *) % 1.22/1.38 assert (zenon_L818_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H13a zenon_H52 zenon_H227 zenon_H1cc zenon_H327 zenon_H31b zenon_H31a zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H180 zenon_H334 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L145_); trivial. % 1.22/1.38 apply (zenon_L816_); trivial. % 1.22/1.38 (* end of lemma zenon_L818_ *) % 1.22/1.38 assert (zenon_L819_ : ((ndr1_0)/\((~(c1_1 (a360)))/\((~(c2_1 (a360)))/\(~(c3_1 (a360)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H29b zenon_H19d zenon_H136 zenon_H1e3 zenon_H54 zenon_H212 zenon_H76 zenon_H53 zenon_H3e zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H334 zenon_H180 zenon_H160 zenon_H4b zenon_H31a zenon_H31b zenon_H327 zenon_H1cc zenon_H227 zenon_H52. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.38 apply (zenon_L817_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L165_); trivial. % 1.22/1.38 apply (zenon_L816_); trivial. % 1.22/1.38 apply (zenon_L818_); trivial. % 1.22/1.38 (* end of lemma zenon_L819_ *) % 1.22/1.38 assert (zenon_L820_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp1)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H4d zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H334 zenon_H327 zenon_H31a zenon_H180. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.38 apply (zenon_L15_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.38 apply (zenon_L88_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.22/1.38 apply (zenon_L15_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.22/1.38 apply (zenon_L213_); trivial. % 1.22/1.38 apply (zenon_L815_); trivial. % 1.22/1.38 (* end of lemma zenon_L820_ *) % 1.22/1.38 assert (zenon_L821_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H327 zenon_H31a zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L202_); trivial. % 1.22/1.38 apply (zenon_L820_); trivial. % 1.22/1.38 (* end of lemma zenon_L821_ *) % 1.22/1.38 assert (zenon_L822_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H2e7 zenon_H157 zenon_H7a zenon_H79 zenon_H256 zenon_H255 zenon_H254 zenon_H10 zenon_H1. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H88 | zenon_intro zenon_H2e8 ]. % 1.22/1.38 apply (zenon_L303_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H22c | zenon_intro zenon_H2 ]. % 1.22/1.38 apply (zenon_L192_); trivial. % 1.22/1.38 exact (zenon_H1 zenon_H2). % 1.22/1.38 (* end of lemma zenon_L822_ *) % 1.22/1.38 assert (zenon_L823_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H25d zenon_H53 zenon_H212 zenon_He2 zenon_H79 zenon_H7a zenon_H1 zenon_H2e7 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.38 apply (zenon_L126_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.22/1.38 apply (zenon_L822_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.22/1.38 apply (zenon_L13_); trivial. % 1.22/1.38 exact (zenon_He2 zenon_He3). % 1.22/1.38 (* end of lemma zenon_L823_ *) % 1.22/1.38 assert (zenon_L824_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H87 zenon_H260 zenon_H53 zenon_H212 zenon_H2e7 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23 zenon_H234 zenon_H1 zenon_He2 zenon_H153 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.38 apply (zenon_L25_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.38 apply (zenon_L605_); trivial. % 1.22/1.38 apply (zenon_L823_); trivial. % 1.22/1.38 (* end of lemma zenon_L824_ *) % 1.22/1.38 assert (zenon_L825_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_H16c zenon_H9f zenon_H165 zenon_H164 zenon_H163 zenon_H79 zenon_H7a zenon_Hc8 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.38 apply (zenon_L45_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.38 apply (zenon_L721_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.38 apply (zenon_L81_); trivial. % 1.22/1.38 exact (zenon_H9f zenon_Ha0). % 1.22/1.38 (* end of lemma zenon_L825_ *) % 1.22/1.38 assert (zenon_L826_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hdd zenon_H32f zenon_H165 zenon_H164 zenon_H163 zenon_H31b zenon_H327 zenon_H31a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H162 | zenon_intro zenon_H330 ]. % 1.22/1.38 apply (zenon_L81_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H326 | zenon_intro zenon_Hd1 ]. % 1.22/1.38 apply (zenon_L810_); trivial. % 1.22/1.38 apply (zenon_L51_); trivial. % 1.22/1.38 (* end of lemma zenon_L826_ *) % 1.22/1.38 assert (zenon_L827_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H84 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H234 zenon_H1 zenon_He2 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_Hc8 zenon_H163 zenon_H164 zenon_H165 zenon_H9f zenon_H16c zenon_Hcd zenon_Hd0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.38 apply (zenon_L166_); trivial. % 1.22/1.38 apply (zenon_L825_); trivial. % 1.22/1.38 apply (zenon_L826_); trivial. % 1.22/1.38 (* end of lemma zenon_L827_ *) % 1.22/1.38 assert (zenon_L828_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H52 zenon_H21a zenon_Hdb zenon_H87 zenon_H260 zenon_H53 zenon_H212 zenon_H2e7 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a zenon_Hcd zenon_H16c zenon_H9f zenon_Hc8 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.38 apply (zenon_L824_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.38 apply (zenon_L25_); trivial. % 1.22/1.38 apply (zenon_L827_); trivial. % 1.22/1.38 apply (zenon_L167_); trivial. % 1.22/1.38 (* end of lemma zenon_L828_ *) % 1.22/1.38 assert (zenon_L829_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp19)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59 zenon_Hde zenon_H31b zenon_H31a zenon_H10 zenon_Hdb zenon_H1d. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.38 apply (zenon_L88_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.38 apply (zenon_L19_); trivial. % 1.22/1.38 apply (zenon_L809_); trivial. % 1.22/1.38 (* end of lemma zenon_L829_ *) % 1.22/1.38 assert (zenon_L830_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H145 zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H327 zenon_H227 zenon_H173 zenon_H174 zenon_H175 zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H2d1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L829_); trivial. % 1.22/1.38 apply (zenon_L820_); trivial. % 1.22/1.38 (* end of lemma zenon_L830_ *) % 1.22/1.38 assert (zenon_L831_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H13a zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H327 zenon_H31a zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L145_); trivial. % 1.22/1.38 apply (zenon_L820_); trivial. % 1.22/1.38 (* end of lemma zenon_L831_ *) % 1.22/1.38 assert (zenon_L832_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H32f zenon_H165 zenon_H164 zenon_H163 zenon_H31b zenon_H327 zenon_H31a zenon_H111 zenon_H10 zenon_H114 zenon_H113. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H162 | zenon_intro zenon_H330 ]. % 1.22/1.38 apply (zenon_L81_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H326 | zenon_intro zenon_Hd1 ]. % 1.22/1.38 apply (zenon_L810_); trivial. % 1.22/1.38 apply (zenon_L118_); trivial. % 1.22/1.38 (* end of lemma zenon_L832_ *) % 1.22/1.38 assert (zenon_L833_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(hskp23)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H12d zenon_H113 zenon_H114 zenon_H31a zenon_H327 zenon_H31b zenon_H163 zenon_H164 zenon_H165 zenon_H32f zenon_H6e zenon_H6f zenon_H6d zenon_H10 zenon_He6 zenon_Haf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.22/1.38 apply (zenon_L832_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.22/1.38 apply (zenon_L66_); trivial. % 1.22/1.38 exact (zenon_Haf zenon_Hb0). % 1.22/1.38 (* end of lemma zenon_L833_ *) % 1.22/1.38 assert (zenon_L834_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H16e zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H114 zenon_H113 zenon_H32f zenon_H205 zenon_H297. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_He6 | zenon_intro zenon_H298 ]. % 1.22/1.38 apply (zenon_L833_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H162 | zenon_intro zenon_H206 ]. % 1.22/1.38 apply (zenon_L81_); trivial. % 1.22/1.38 exact (zenon_H205 zenon_H206). % 1.22/1.38 apply (zenon_L826_); trivial. % 1.22/1.38 (* end of lemma zenon_L834_ *) % 1.22/1.38 assert (zenon_L835_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H114 zenon_H113 zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_H66 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2e7 zenon_H212 zenon_H53 zenon_H260 zenon_H87. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.38 apply (zenon_L824_); trivial. % 1.22/1.38 apply (zenon_L834_); trivial. % 1.22/1.38 (* end of lemma zenon_L835_ *) % 1.22/1.38 assert (zenon_L836_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H260 zenon_H2e7 zenon_H8b zenon_H8a zenon_H89 zenon_H234 zenon_H1 zenon_He2 zenon_H153 zenon_H2cb zenon_Hd0. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.38 apply (zenon_L605_); trivial. % 1.22/1.38 apply (zenon_L406_); trivial. % 1.22/1.38 (* end of lemma zenon_L836_ *) % 1.22/1.38 assert (zenon_L837_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H94 zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H114 zenon_H113 zenon_H32f zenon_H205 zenon_H297 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2e7 zenon_H260. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.38 apply (zenon_L836_); trivial. % 1.22/1.38 apply (zenon_L834_); trivial. % 1.22/1.38 (* end of lemma zenon_L837_ *) % 1.22/1.38 assert (zenon_L838_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c0_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H98 zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H114 zenon_H113 zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2e7 zenon_H212 zenon_H53 zenon_H260 zenon_H87 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H112 zenon_H232 zenon_H52. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L835_); trivial. % 1.22/1.38 apply (zenon_L214_); trivial. % 1.22/1.38 apply (zenon_L837_); trivial. % 1.22/1.38 (* end of lemma zenon_L838_ *) % 1.22/1.38 assert (zenon_L839_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57)))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(hskp23)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H12d zenon_H5b zenon_H5a zenon_H59 zenon_H158 zenon_H6e zenon_H6f zenon_H6d zenon_H10 zenon_He6 zenon_Haf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.22/1.38 apply (zenon_L537_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.22/1.38 apply (zenon_L66_); trivial. % 1.22/1.38 exact (zenon_Haf zenon_Hb0). % 1.22/1.38 (* end of lemma zenon_L839_ *) % 1.22/1.38 assert (zenon_L840_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a353))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a353)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp23)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp3)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H160 zenon_H1cf zenon_H1ce zenon_H172 zenon_H205 zenon_H10 zenon_H31a zenon_Hd1 zenon_H31b zenon_H12d zenon_H5b zenon_H5a zenon_H59 zenon_H6e zenon_H6f zenon_H6d zenon_Haf zenon_H297 zenon_H4b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.22/1.38 apply (zenon_L154_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_He6 | zenon_intro zenon_H298 ]. % 1.22/1.38 apply (zenon_L839_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H162 | zenon_intro zenon_H206 ]. % 1.22/1.38 apply (zenon_L808_); trivial. % 1.22/1.38 exact (zenon_H205 zenon_H206). % 1.22/1.38 exact (zenon_H4b zenon_H4c). % 1.22/1.38 (* end of lemma zenon_L840_ *) % 1.22/1.38 assert (zenon_L841_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp23)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp3)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H256 zenon_H255 zenon_H254 zenon_H160 zenon_H1cf zenon_H1ce zenon_H172 zenon_H205 zenon_H10 zenon_H31a zenon_H31b zenon_H12d zenon_H5b zenon_H5a zenon_H59 zenon_H6e zenon_H6f zenon_H6d zenon_Haf zenon_H297 zenon_H4b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.22/1.38 apply (zenon_L28_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.22/1.38 apply (zenon_L192_); trivial. % 1.22/1.38 apply (zenon_L840_); trivial. % 1.22/1.38 (* end of lemma zenon_L841_ *) % 1.22/1.38 assert (zenon_L842_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H297 zenon_H205 zenon_H31b zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H4b zenon_H160 zenon_H1b5 zenon_H1b3 zenon_H173 zenon_H174 zenon_H175 zenon_He2 zenon_H212 zenon_H2d1 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.38 apply (zenon_L25_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.38 apply (zenon_L564_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.38 apply (zenon_L126_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.38 apply (zenon_L841_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.38 apply (zenon_L19_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.38 apply (zenon_L380_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.38 apply (zenon_L808_); trivial. % 1.22/1.38 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.38 apply (zenon_L565_); trivial. % 1.22/1.38 (* end of lemma zenon_L842_ *) % 1.22/1.38 assert (zenon_L843_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H6a zenon_H68 zenon_H66 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2d1 zenon_H212 zenon_He2 zenon_H175 zenon_H174 zenon_H173 zenon_H1b3 zenon_H1b5 zenon_H160 zenon_H4b zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H31b zenon_H205 zenon_H297 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.38 apply (zenon_L842_); trivial. % 1.22/1.38 apply (zenon_L214_); trivial. % 1.22/1.38 (* end of lemma zenon_L843_ *) % 1.22/1.38 assert (zenon_L844_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (~(hskp8)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1b5 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H20 zenon_H21 zenon_H22 zenon_H1c1 zenon_H31b zenon_H31a zenon_H10 zenon_H162 zenon_H1b3. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.39 apply (zenon_L218_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.39 apply (zenon_L808_); trivial. % 1.22/1.39 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.39 (* end of lemma zenon_L844_ *) % 1.22/1.39 assert (zenon_L845_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp8)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H13d zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59 zenon_H1b5 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H31b zenon_H31a zenon_H1b3. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.39 apply (zenon_L88_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L19_); trivial. % 1.22/1.39 apply (zenon_L844_); trivial. % 1.22/1.39 (* end of lemma zenon_L845_ *) % 1.22/1.39 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H135 zenon_H136 zenon_H334 zenon_H180 zenon_H1e3 zenon_H98 zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2e7 zenon_H212 zenon_H53 zenon_H260 zenon_H87 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52 zenon_H261 zenon_H2a1 zenon_H4b zenon_H160 zenon_H1b5 zenon_H1b3 zenon_H2d1 zenon_H303 zenon_H1c1 zenon_H137 zenon_H148. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L838_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L843_); trivial. % 1.22/1.39 apply (zenon_L215_); trivial. % 1.22/1.39 apply (zenon_L845_); trivial. % 1.22/1.39 apply (zenon_L831_); trivial. % 1.22/1.39 (* end of lemma zenon_L846_ *) % 1.22/1.39 assert (zenon_L847_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H214 zenon_H136 zenon_H1e3 zenon_H53 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H31a zenon_H327 zenon_H180 zenon_H334 zenon_H232 zenon_H52. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.39 apply (zenon_L143_); trivial. % 1.22/1.39 apply (zenon_L820_); trivial. % 1.22/1.39 apply (zenon_L831_); trivial. % 1.22/1.39 (* end of lemma zenon_L847_ *) % 1.22/1.39 assert (zenon_L848_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp15)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H2e7 zenon_H157 zenon_H7a zenon_H79 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H1. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H88 | zenon_intro zenon_H2e8 ]. % 1.22/1.39 apply (zenon_L303_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H22c | zenon_intro zenon_H2 ]. % 1.22/1.39 apply (zenon_L197_); trivial. % 1.22/1.39 exact (zenon_H1 zenon_H2). % 1.22/1.39 (* end of lemma zenon_L848_ *) % 1.22/1.39 assert (zenon_L849_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6d zenon_H6e zenon_H6f zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H162 zenon_H10 zenon_H31a zenon_H31b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.22/1.39 apply (zenon_L28_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.22/1.39 apply (zenon_L197_); trivial. % 1.22/1.39 apply (zenon_L808_); trivial. % 1.22/1.39 (* end of lemma zenon_L849_ *) % 1.22/1.39 assert (zenon_L850_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp12)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H84 zenon_H16c zenon_H1 zenon_H2e7 zenon_H31b zenon_H31a zenon_H1c1 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H6f zenon_H6e zenon_H6d zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2a1 zenon_H9f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.39 apply (zenon_L848_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.39 apply (zenon_L849_); trivial. % 1.22/1.39 exact (zenon_H9f zenon_Ha0). % 1.22/1.39 (* end of lemma zenon_L850_ *) % 1.22/1.39 assert (zenon_L851_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H87 zenon_H16c zenon_H9f zenon_H31a zenon_H31b zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H1 zenon_H2e7 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.39 apply (zenon_L25_); trivial. % 1.22/1.39 apply (zenon_L850_); trivial. % 1.22/1.39 (* end of lemma zenon_L851_ *) % 1.22/1.39 assert (zenon_L852_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H2e7 zenon_H1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2a1 zenon_H31b zenon_H31a zenon_H9f zenon_H16c zenon_H87. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L851_); trivial. % 1.22/1.39 apply (zenon_L90_); trivial. % 1.22/1.39 (* end of lemma zenon_L852_ *) % 1.22/1.39 assert (zenon_L853_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H84 zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59 zenon_H2a1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6d zenon_H6e zenon_H6f zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H31a zenon_H31b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.39 apply (zenon_L88_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L19_); trivial. % 1.22/1.39 apply (zenon_L849_); trivial. % 1.22/1.39 (* end of lemma zenon_L853_ *) % 1.22/1.39 assert (zenon_L854_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H87 zenon_H2d1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H31a zenon_H31b zenon_H2a1 zenon_H5b zenon_H5a zenon_H59 zenon_H175 zenon_H174 zenon_H173 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.39 apply (zenon_L25_); trivial. % 1.22/1.39 apply (zenon_L853_); trivial. % 1.22/1.39 (* end of lemma zenon_L854_ *) % 1.22/1.39 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H145 zenon_H137 zenon_H87 zenon_H2d1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H31a zenon_H31b zenon_H2a1 zenon_H175 zenon_H174 zenon_H173 zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H23 zenon_H227 zenon_H10c zenon_H4b zenon_H160 zenon_H232 zenon_H52 zenon_H98. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L854_); trivial. % 1.22/1.39 apply (zenon_L394_); trivial. % 1.22/1.39 apply (zenon_L113_); trivial. % 1.22/1.39 (* end of lemma zenon_L855_ *) % 1.22/1.39 assert (zenon_L856_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H148 zenon_H137 zenon_H2d1 zenon_H53 zenon_H261 zenon_H23 zenon_H227 zenon_H10c zenon_H4b zenon_H160 zenon_H232 zenon_H52 zenon_H87 zenon_H16c zenon_H9f zenon_H31a zenon_H31b zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2e7 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L852_); trivial. % 1.22/1.39 apply (zenon_L855_); trivial. % 1.22/1.39 (* end of lemma zenon_L856_ *) % 1.22/1.39 assert (zenon_L857_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c2_1 (a369))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H145 zenon_H137 zenon_H87 zenon_H2d1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H31a zenon_H31b zenon_H2a1 zenon_H175 zenon_H174 zenon_H173 zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H23 zenon_H227 zenon_H113 zenon_H112 zenon_H114 zenon_H232 zenon_H52 zenon_H98. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L854_); trivial. % 1.22/1.39 apply (zenon_L215_); trivial. % 1.22/1.39 apply (zenon_L113_); trivial. % 1.22/1.39 (* end of lemma zenon_L857_ *) % 1.22/1.39 assert (zenon_L858_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c2_1 (a369))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H148 zenon_H137 zenon_H87 zenon_H2d1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H31a zenon_H31b zenon_H2a1 zenon_H68 zenon_H6a zenon_H261 zenon_H98 zenon_H53 zenon_Hd0 zenon_H2cf zenon_H2cd zenon_H173 zenon_H174 zenon_H175 zenon_H212 zenon_He2 zenon_H234 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H113 zenon_H112 zenon_H114 zenon_H232 zenon_H52. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L563_); trivial. % 1.22/1.39 apply (zenon_L857_); trivial. % 1.22/1.39 (* end of lemma zenon_L858_ *) % 1.22/1.39 assert (zenon_L859_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H135 zenon_H136 zenon_H334 zenon_H180 zenon_H327 zenon_H1e3 zenon_H52 zenon_H232 zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H234 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H53 zenon_H98 zenon_H261 zenon_H6a zenon_H68 zenon_H2a1 zenon_H31b zenon_H31a zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2d1 zenon_H87 zenon_H137 zenon_H148. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.39 apply (zenon_L858_); trivial. % 1.22/1.39 apply (zenon_L831_); trivial. % 1.22/1.39 (* end of lemma zenon_L859_ *) % 1.22/1.39 assert (zenon_L860_ : ((ndr1_0)/\((c2_1 (a364))/\((~(c0_1 (a364)))/\(~(c1_1 (a364)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H30c zenon_H217 zenon_H136 zenon_H1e3 zenon_H212 zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H327 zenon_H31a zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H207 zenon_H19d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.39 apply (zenon_L821_); trivial. % 1.22/1.39 apply (zenon_L400_); trivial. % 1.22/1.39 apply (zenon_L847_); trivial. % 1.22/1.39 (* end of lemma zenon_L860_ *) % 1.22/1.39 assert (zenon_L861_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a364))/\((~(c0_1 (a364)))/\(~(c1_1 (a364))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1c3 zenon_H336 zenon_H217 zenon_H207 zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H327 zenon_H31a zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H148 zenon_H137 zenon_H2d1 zenon_H261 zenon_H10c zenon_H4b zenon_H160 zenon_H87 zenon_H16c zenon_H31b zenon_H2a1 zenon_H1c1 zenon_H2e7 zenon_H68 zenon_H6a zenon_H17c zenon_H17e zenon_H98 zenon_Hd0 zenon_H2cf zenon_H212 zenon_H234 zenon_H1e3 zenon_H136 zenon_H140 zenon_H19d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.39 apply (zenon_L821_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.39 apply (zenon_L856_); trivial. % 1.22/1.39 apply (zenon_L859_); trivial. % 1.22/1.39 apply (zenon_L860_); trivial. % 1.22/1.39 (* end of lemma zenon_L861_ *) % 1.22/1.39 assert (zenon_L862_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H205 zenon_H207. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.39 apply (zenon_L217_); trivial. % 1.22/1.39 apply (zenon_L826_); trivial. % 1.22/1.39 (* end of lemma zenon_L862_ *) % 1.22/1.39 assert (zenon_L863_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H94 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H205 zenon_H207 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2e7 zenon_H260. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.39 apply (zenon_L836_); trivial. % 1.22/1.39 apply (zenon_L862_); trivial. % 1.22/1.39 (* end of lemma zenon_L863_ *) % 1.22/1.39 assert (zenon_L864_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp21)) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp1)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H334 zenon_H44 zenon_H43 zenon_H42 zenon_H1b3 zenon_H10 zenon_H31a zenon_H31b zenon_H327 zenon_H1a6 zenon_H64 zenon_H186 zenon_H187 zenon_Hf1 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_H1b5 zenon_H180. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H41 | zenon_intro zenon_H335 ]. % 1.22/1.39 apply (zenon_L15_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H181 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.39 apply (zenon_L339_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.39 apply (zenon_L811_); trivial. % 1.22/1.39 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.39 exact (zenon_H180 zenon_H181). % 1.22/1.39 (* end of lemma zenon_L864_ *) % 1.22/1.39 assert (zenon_L865_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H135 zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.39 apply (zenon_L273_); trivial. % 1.22/1.39 apply (zenon_L834_); trivial. % 1.22/1.39 (* end of lemma zenon_L865_ *) % 1.22/1.39 assert (zenon_L866_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H16e zenon_H87 zenon_H54 zenon_H82 zenon_H1d zenon_H76 zenon_Hf1 zenon_Hb zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H134. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf4 ]. % 1.22/1.39 apply (zenon_L833_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc ]. % 1.22/1.39 exact (zenon_H64 zenon_H65). % 1.22/1.39 exact (zenon_Hb zenon_Hc). % 1.22/1.39 apply (zenon_L826_); trivial. % 1.22/1.39 apply (zenon_L30_); trivial. % 1.22/1.39 (* end of lemma zenon_L866_ *) % 1.22/1.39 assert (zenon_L867_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H171 zenon_H87 zenon_H54 zenon_H82 zenon_H1d zenon_H76 zenon_Hf1 zenon_Hb zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H134 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.39 apply (zenon_L273_); trivial. % 1.22/1.39 apply (zenon_L866_); trivial. % 1.22/1.39 (* end of lemma zenon_L867_ *) % 1.22/1.39 assert (zenon_L868_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H19f zenon_H140 zenon_H52 zenon_H227 zenon_H134 zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_Hb zenon_Hf1 zenon_H76 zenon_H82 zenon_H54 zenon_H87 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H209 zenon_H20a zenon_H20b zenon_H16c zenon_H171. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.39 apply (zenon_L278_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.39 apply (zenon_L867_); trivial. % 1.22/1.39 apply (zenon_L207_); trivial. % 1.22/1.39 (* end of lemma zenon_L868_ *) % 1.22/1.39 assert (zenon_L869_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp8)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H214 zenon_H19d zenon_H140 zenon_H52 zenon_H227 zenon_H134 zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H76 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H16c zenon_H171 zenon_H87 zenon_H184 zenon_H180 zenon_Hd zenon_Hb zenon_Hf1 zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54 zenon_H1b3 zenon_H28d zenon_H19e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.39 apply (zenon_L256_); trivial. % 1.22/1.39 apply (zenon_L868_); trivial. % 1.22/1.39 (* end of lemma zenon_L869_ *) % 1.22/1.39 assert (zenon_L870_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (~(hskp10)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H25d zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H297 zenon_H281 zenon_H280 zenon_H27f zenon_H165 zenon_H164 zenon_H163 zenon_H205. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.22/1.39 apply (zenon_L28_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.22/1.39 apply (zenon_L192_); trivial. % 1.22/1.39 apply (zenon_L285_); trivial. % 1.22/1.39 (* end of lemma zenon_L870_ *) % 1.22/1.39 assert (zenon_L871_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_H87 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H28f zenon_H99 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H186 zenon_H187 zenon_H53 zenon_H261 zenon_H293 zenon_H311 zenon_H303 zenon_H1a6 zenon_Hdb zenon_H21a zenon_H297 zenon_H205 zenon_H2a1 zenon_H260 zenon_H171 zenon_H52. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.39 apply (zenon_L257_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.39 apply (zenon_L273_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.39 apply (zenon_L259_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.39 apply (zenon_L644_); trivial. % 1.22/1.39 apply (zenon_L412_); trivial. % 1.22/1.39 apply (zenon_L870_); trivial. % 1.22/1.39 apply (zenon_L113_); trivial. % 1.22/1.39 (* end of lemma zenon_L871_ *) % 1.22/1.39 assert (zenon_L872_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H19a zenon_H148 zenon_H137 zenon_H1c1 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H28f zenon_H99 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H53 zenon_H261 zenon_H293 zenon_H311 zenon_H303 zenon_H1a6 zenon_H297 zenon_H205 zenon_H2a1 zenon_H260 zenon_H171 zenon_H87 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54 zenon_H234 zenon_He2 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L594_); trivial. % 1.22/1.39 apply (zenon_L871_); trivial. % 1.22/1.39 (* end of lemma zenon_L872_ *) % 1.22/1.39 assert (zenon_L873_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H214 zenon_H19d zenon_H140 zenon_H52 zenon_H227 zenon_H134 zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H76 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H16c zenon_H171 zenon_H87 zenon_H184 zenon_H180 zenon_Hd zenon_Hb zenon_Hf1 zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54 zenon_H28f zenon_H99 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H19e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.39 apply (zenon_L261_); trivial. % 1.22/1.39 apply (zenon_L868_); trivial. % 1.22/1.39 (* end of lemma zenon_L873_ *) % 1.22/1.39 assert (zenon_L874_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H327 zenon_H31a zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H66 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_H82 zenon_H54 zenon_H87. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.39 apply (zenon_L31_); trivial. % 1.22/1.39 apply (zenon_L820_); trivial. % 1.22/1.39 (* end of lemma zenon_L874_ *) % 1.22/1.39 assert (zenon_L875_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H19d zenon_H76 zenon_H227 zenon_H31a zenon_H327 zenon_H180 zenon_H334 zenon_H232 zenon_H52 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_Hd zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.39 apply (zenon_L91_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L874_); trivial. % 1.22/1.39 apply (zenon_L90_); trivial. % 1.22/1.39 (* end of lemma zenon_L875_ *) % 1.22/1.39 assert (zenon_L876_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(hskp11)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H87 zenon_H3 zenon_Hd zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.39 apply (zenon_L653_); trivial. % 1.22/1.39 apply (zenon_L86_); trivial. % 1.22/1.39 (* end of lemma zenon_L876_ *) % 1.22/1.39 assert (zenon_L877_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (c1_1 (a353)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H16c zenon_H20b zenon_H20a zenon_H209 zenon_H31b zenon_Hd1 zenon_H31a zenon_H10 zenon_H9f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.39 apply (zenon_L141_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.39 apply (zenon_L808_); trivial. % 1.22/1.39 exact (zenon_H9f zenon_Ha0). % 1.22/1.39 (* end of lemma zenon_L877_ *) % 1.22/1.39 assert (zenon_L878_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H14c zenon_H14b zenon_H14a zenon_H16c zenon_H20b zenon_H20a zenon_H209 zenon_H31b zenon_H31a zenon_H10 zenon_H9f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.39 apply (zenon_L88_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.39 apply (zenon_L76_); trivial. % 1.22/1.39 apply (zenon_L877_); trivial. % 1.22/1.39 (* end of lemma zenon_L878_ *) % 1.22/1.39 assert (zenon_L879_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp19)) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hdd zenon_H32f zenon_H1d zenon_Hdb zenon_Hde zenon_H31b zenon_H327 zenon_H31a. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H162 | zenon_intro zenon_H330 ]. % 1.22/1.39 apply (zenon_L809_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H326 | zenon_intro zenon_Hd1 ]. % 1.22/1.39 apply (zenon_L810_); trivial. % 1.22/1.39 apply (zenon_L51_); trivial. % 1.22/1.39 (* end of lemma zenon_L879_ *) % 1.22/1.39 assert (zenon_L880_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> (~(hskp19)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H134 zenon_H32f zenon_H327 zenon_H31a zenon_H31b zenon_Hdb zenon_H1d zenon_Hde zenon_H10 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H12d zenon_H112 zenon_H113 zenon_H114 zenon_H1cc. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.39 apply (zenon_L121_); trivial. % 1.22/1.39 apply (zenon_L879_); trivial. % 1.22/1.39 (* end of lemma zenon_L880_ *) % 1.22/1.39 assert (zenon_L881_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H135 zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H227 zenon_H1cc zenon_H12d zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H327 zenon_H32f zenon_H134. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.39 apply (zenon_L880_); trivial. % 1.22/1.39 apply (zenon_L820_); trivial. % 1.22/1.39 (* end of lemma zenon_L881_ *) % 1.22/1.39 assert (zenon_L882_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H214 zenon_H140 zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H227 zenon_H12d zenon_Hde zenon_Hdb zenon_H327 zenon_H32f zenon_H134 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H1cc. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.39 apply (zenon_L878_); trivial. % 1.22/1.39 apply (zenon_L881_); trivial. % 1.22/1.39 (* end of lemma zenon_L882_ *) % 1.22/1.39 assert (zenon_L883_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H98 zenon_H28f zenon_H99 zenon_H6a zenon_H68 zenon_H2e7 zenon_H1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2a1 zenon_H31b zenon_H31a zenon_H9f zenon_H16c zenon_H87. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L851_); trivial. % 1.22/1.39 apply (zenon_L298_); trivial. % 1.22/1.39 (* end of lemma zenon_L883_ *) % 1.22/1.39 assert (zenon_L884_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H261 zenon_H2a1 zenon_H260. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.39 apply (zenon_L672_); trivial. % 1.22/1.39 apply (zenon_L38_); trivial. % 1.22/1.39 (* end of lemma zenon_L884_ *) % 1.22/1.39 assert (zenon_L885_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H260 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H303 zenon_H53 zenon_H99 zenon_H68 zenon_H9b zenon_H52. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.39 apply (zenon_L884_); trivial. % 1.22/1.39 apply (zenon_L113_); trivial. % 1.22/1.39 (* end of lemma zenon_L885_ *) % 1.22/1.39 assert (zenon_L886_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H114 zenon_H113 zenon_H32f zenon_H205 zenon_H297 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H261 zenon_H2a1 zenon_H53 zenon_H260. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.39 apply (zenon_L671_); trivial. % 1.22/1.39 apply (zenon_L834_); trivial. % 1.22/1.39 (* end of lemma zenon_L886_ *) % 1.22/1.39 assert (zenon_L887_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H260 zenon_H53 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H297 zenon_H205 zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H134 zenon_H171. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.39 apply (zenon_L886_); trivial. % 1.22/1.39 apply (zenon_L38_); trivial. % 1.22/1.39 (* end of lemma zenon_L887_ *) % 1.22/1.39 assert (zenon_L888_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1c3 zenon_H217 zenon_H212 zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H148 zenon_H137 zenon_H260 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H303 zenon_H87 zenon_H16c zenon_H31a zenon_H31b zenon_H2a1 zenon_H1c1 zenon_H2e7 zenon_H6a zenon_H28f zenon_H98 zenon_H234 zenon_H2cb zenon_Hd0 zenon_H297 zenon_H32f zenon_H327 zenon_H12d zenon_H134 zenon_H171 zenon_H1e3 zenon_H136 zenon_H140 zenon_H19d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.39 apply (zenon_L288_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L883_); trivial. % 1.22/1.39 apply (zenon_L885_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.39 apply (zenon_L887_); trivial. % 1.22/1.39 apply (zenon_L113_); trivial. % 1.22/1.39 apply (zenon_L885_); trivial. % 1.22/1.39 apply (zenon_L146_); trivial. % 1.22/1.39 apply (zenon_L147_); trivial. % 1.22/1.39 (* end of lemma zenon_L888_ *) % 1.22/1.39 assert (zenon_L889_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H145 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H2d1 zenon_H3 zenon_H1ce zenon_H1cf zenon_H62 zenon_H31a zenon_H31b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.39 apply (zenon_L497_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.39 apply (zenon_L76_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.39 apply (zenon_L497_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L19_); trivial. % 1.22/1.39 apply (zenon_L808_); trivial. % 1.22/1.39 (* end of lemma zenon_L889_ *) % 1.22/1.39 assert (zenon_L890_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H148 zenon_H1cc zenon_H31a zenon_H31b zenon_H2d1 zenon_H14c zenon_H14b zenon_H14a zenon_H62 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_He2 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L229_); trivial. % 1.22/1.39 apply (zenon_L889_); trivial. % 1.22/1.39 (* end of lemma zenon_L890_ *) % 1.22/1.39 assert (zenon_L891_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H13a zenon_H19e zenon_H207 zenon_H205 zenon_H1e3 zenon_H281 zenon_H280 zenon_H27f zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H180 zenon_H184. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.22/1.39 apply (zenon_L307_); trivial. % 1.22/1.39 apply (zenon_L140_); trivial. % 1.22/1.39 (* end of lemma zenon_L891_ *) % 1.22/1.39 assert (zenon_L892_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H136 zenon_H19e zenon_H207 zenon_H205 zenon_H1e3 zenon_H281 zenon_H280 zenon_H27f zenon_H180 zenon_H184 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53 zenon_H62 zenon_H14a zenon_H14b zenon_H14c zenon_H2d1 zenon_H31b zenon_H31a zenon_H1cc zenon_H148. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.39 apply (zenon_L890_); trivial. % 1.22/1.39 apply (zenon_L891_); trivial. % 1.22/1.39 (* end of lemma zenon_L892_ *) % 1.22/1.39 assert (zenon_L893_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19f zenon_H19e zenon_H207 zenon_H205 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H184 zenon_H180 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H137. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.22/1.40 apply (zenon_L266_); trivial. % 1.22/1.40 apply (zenon_L140_); trivial. % 1.22/1.40 (* end of lemma zenon_L893_ *) % 1.22/1.40 assert (zenon_L894_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19a zenon_H52 zenon_H4e zenon_H4b zenon_H28f zenon_H99 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hb zenon_Hf1 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H82 zenon_H54 zenon_H87. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_L267_); trivial. % 1.22/1.40 apply (zenon_L17_); trivial. % 1.22/1.40 (* end of lemma zenon_L894_ *) % 1.22/1.40 assert (zenon_L895_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp16)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp20)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H3d zenon_H155 zenon_H5 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10c zenon_H14c zenon_H14b zenon_H14a zenon_H153. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.22/1.40 apply (zenon_L324_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.22/1.40 apply (zenon_L76_); trivial. % 1.22/1.40 exact (zenon_H153 zenon_H154). % 1.22/1.40 (* end of lemma zenon_L895_ *) % 1.22/1.40 assert (zenon_L896_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H55 zenon_H53 zenon_H155 zenon_H153 zenon_H14c zenon_H14b zenon_H14a zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.40 apply (zenon_L320_); trivial. % 1.22/1.40 apply (zenon_L895_); trivial. % 1.22/1.40 (* end of lemma zenon_L896_ *) % 1.22/1.40 assert (zenon_L897_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H54 zenon_H53 zenon_H155 zenon_H153 zenon_H14c zenon_H14b zenon_H14a zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.40 apply (zenon_L27_); trivial. % 1.22/1.40 apply (zenon_L896_); trivial. % 1.22/1.40 (* end of lemma zenon_L897_ *) % 1.22/1.40 assert (zenon_L898_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H171 zenon_H87 zenon_H82 zenon_Hf1 zenon_Hb zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H134 zenon_H76 zenon_H1d zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H53 zenon_H54. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.40 apply (zenon_L897_); trivial. % 1.22/1.40 apply (zenon_L866_); trivial. % 1.22/1.40 (* end of lemma zenon_L898_ *) % 1.22/1.40 assert (zenon_L899_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H52 zenon_H4e zenon_H4b zenon_H54 zenon_H53 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H134 zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H114 zenon_H113 zenon_H32f zenon_Hb zenon_Hf1 zenon_H82 zenon_H87 zenon_H171. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_L898_); trivial. % 1.22/1.40 apply (zenon_L17_); trivial. % 1.22/1.40 (* end of lemma zenon_L899_ *) % 1.22/1.40 assert (zenon_L900_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp20)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H3d zenon_H155 zenon_Hd3 zenon_Hd4 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H14c zenon_H14b zenon_H14a zenon_H153. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.22/1.40 apply (zenon_L332_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.22/1.40 apply (zenon_L76_); trivial. % 1.22/1.40 exact (zenon_H153 zenon_H154). % 1.22/1.40 (* end of lemma zenon_L900_ *) % 1.22/1.40 assert (zenon_L901_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hdd zenon_H54 zenon_H53 zenon_H155 zenon_H153 zenon_H14c zenon_H14b zenon_H14a zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.40 apply (zenon_L27_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.40 apply (zenon_L320_); trivial. % 1.22/1.40 apply (zenon_L900_); trivial. % 1.22/1.40 (* end of lemma zenon_L901_ *) % 1.22/1.40 assert (zenon_L902_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H171 zenon_H82 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H134 zenon_H76 zenon_H1d zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_Hf1 zenon_Hb zenon_H12c zenon_H114 zenon_H113 zenon_H112 zenon_H22 zenon_H21 zenon_H20 zenon_H12d zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H53 zenon_H54 zenon_H180 zenon_H182 zenon_H184 zenon_H87. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.40 apply (zenon_L27_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.40 apply (zenon_L320_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.22/1.40 apply (zenon_L67_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.22/1.40 apply (zenon_L76_); trivial. % 1.22/1.40 exact (zenon_H153 zenon_H154). % 1.22/1.40 apply (zenon_L901_); trivial. % 1.22/1.40 apply (zenon_L94_); trivial. % 1.22/1.40 apply (zenon_L866_); trivial. % 1.22/1.40 (* end of lemma zenon_L902_ *) % 1.22/1.40 assert (zenon_L903_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H136 zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H171 zenon_H16c zenon_H9f zenon_H10c zenon_H155 zenon_H54 zenon_H53 zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_Hb zenon_H4e zenon_H52. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.40 apply (zenon_L702_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.40 apply (zenon_L897_); trivial. % 1.22/1.40 apply (zenon_L83_); trivial. % 1.22/1.40 apply (zenon_L17_); trivial. % 1.22/1.40 apply (zenon_L113_); trivial. % 1.22/1.40 (* end of lemma zenon_L903_ *) % 1.22/1.40 assert (zenon_L904_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H16e zenon_H54 zenon_H53 zenon_H1e3 zenon_H10c zenon_H5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H1b8 zenon_H1ba zenon_H132 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.40 apply (zenon_L27_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.40 apply (zenon_L320_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.22/1.40 apply (zenon_L324_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.22/1.40 apply (zenon_L832_); trivial. % 1.22/1.40 apply (zenon_L455_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.22/1.40 apply (zenon_L59_); trivial. % 1.22/1.40 apply (zenon_L13_); trivial. % 1.22/1.40 (* end of lemma zenon_L904_ *) % 1.22/1.40 assert (zenon_L905_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c1_1 (a363)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H135 zenon_H136 zenon_H137 zenon_H1c1 zenon_H1b9 zenon_H171 zenon_H1e3 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H1b8 zenon_H1ba zenon_H132 zenon_H10c zenon_H155 zenon_H54 zenon_H53 zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_Hb zenon_H4e zenon_H52. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.40 apply (zenon_L702_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.40 apply (zenon_L897_); trivial. % 1.22/1.40 apply (zenon_L904_); trivial. % 1.22/1.40 apply (zenon_L17_); trivial. % 1.22/1.40 apply (zenon_L113_); trivial. % 1.22/1.40 (* end of lemma zenon_L905_ *) % 1.22/1.40 assert (zenon_L906_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H19e zenon_H293 zenon_H98 zenon_H261 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H273 zenon_H6a zenon_H68 zenon_H180 zenon_H184 zenon_H87 zenon_H1c1 zenon_H137 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.40 apply (zenon_L322_); trivial. % 1.22/1.40 apply (zenon_L428_); trivial. % 1.22/1.40 (* end of lemma zenon_L906_ *) % 1.22/1.40 assert (zenon_L907_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H55 zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H16c zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H160 zenon_H31b zenon_H31a zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.40 apply (zenon_L88_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.40 apply (zenon_L76_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.40 apply (zenon_L80_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.40 apply (zenon_L808_); trivial. % 1.22/1.40 exact (zenon_H9f zenon_Ha0). % 1.22/1.40 (* end of lemma zenon_L907_ *) % 1.22/1.40 assert (zenon_L908_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H52 zenon_H4e zenon_Hb zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H9f zenon_H31b zenon_H31a zenon_H4b zenon_H160 zenon_H1cc zenon_H54. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.40 apply (zenon_L27_); trivial. % 1.22/1.40 apply (zenon_L907_); trivial. % 1.22/1.40 apply (zenon_L17_); trivial. % 1.22/1.40 (* end of lemma zenon_L908_ *) % 1.22/1.40 assert (zenon_L909_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H52 zenon_H9b zenon_H99 zenon_H87 zenon_H260 zenon_H53 zenon_H212 zenon_H2e7 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a zenon_H297 zenon_H205 zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H134 zenon_H171. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_L835_); trivial. % 1.22/1.40 apply (zenon_L38_); trivial. % 1.22/1.40 (* end of lemma zenon_L909_ *) % 1.22/1.40 assert (zenon_L910_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H297 zenon_H205 zenon_H31b zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H4b zenon_H160 zenon_H212 zenon_He2 zenon_H17c zenon_H17e zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.40 apply (zenon_L564_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.40 apply (zenon_L126_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.22/1.40 apply (zenon_L841_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.22/1.40 apply (zenon_L402_); trivial. % 1.22/1.40 exact (zenon_H17c zenon_H17d). % 1.22/1.40 apply (zenon_L565_); trivial. % 1.22/1.40 (* end of lemma zenon_L910_ *) % 1.22/1.40 assert (zenon_L911_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H52 zenon_H9b zenon_H99 zenon_H6a zenon_H68 zenon_H66 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H17e zenon_H17c zenon_He2 zenon_H212 zenon_H160 zenon_H4b zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H31b zenon_H205 zenon_H297 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_L910_); trivial. % 1.22/1.40 apply (zenon_L38_); trivial. % 1.22/1.40 (* end of lemma zenon_L911_ *) % 1.22/1.40 assert (zenon_L912_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H98 zenon_H5 zenon_H261 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H297 zenon_H205 zenon_H31b zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H4b zenon_H160 zenon_H212 zenon_He2 zenon_H17c zenon_H17e zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H68 zenon_H6a zenon_H99 zenon_H9b zenon_H52. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L911_); trivial. % 1.22/1.40 apply (zenon_L343_); trivial. % 1.22/1.40 (* end of lemma zenon_L912_ *) % 1.22/1.40 assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H135 zenon_H136 zenon_H1e3 zenon_H98 zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2e7 zenon_H212 zenon_H53 zenon_H260 zenon_H87 zenon_H99 zenon_H9b zenon_H52 zenon_H261 zenon_H2a1 zenon_H4b zenon_H160 zenon_H17c zenon_H17e zenon_H303 zenon_H1b1 zenon_H28f zenon_H1b3 zenon_H1b5 zenon_H1c1 zenon_H137 zenon_H148. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L909_); trivial. % 1.22/1.40 apply (zenon_L837_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.40 apply (zenon_L912_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L911_); trivial. % 1.22/1.40 apply (zenon_L347_); trivial. % 1.22/1.40 apply (zenon_L146_); trivial. % 1.22/1.40 (* end of lemma zenon_L913_ *) % 1.22/1.40 assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (c2_1 (a358)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H25d zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1cf zenon_H297 zenon_H205 zenon_H31b zenon_H31a zenon_H59 zenon_H5a zenon_H5b zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H4b zenon_H160 zenon_H7b zenon_H7a zenon_H79 zenon_H1d0 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2d1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.40 apply (zenon_L841_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_L19_); trivial. % 1.22/1.40 apply (zenon_L849_); trivial. % 1.22/1.40 apply (zenon_L579_); trivial. % 1.22/1.40 (* end of lemma zenon_L914_ *) % 1.22/1.40 assert (zenon_L915_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H145 zenon_H98 zenon_H28f zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H297 zenon_H205 zenon_H31b zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H4b zenon_H160 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2d1 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H303 zenon_H53 zenon_H68 zenon_H6a zenon_H99 zenon_H9b zenon_H52. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.40 apply (zenon_L564_); trivial. % 1.22/1.40 apply (zenon_L914_); trivial. % 1.22/1.40 apply (zenon_L38_); trivial. % 1.22/1.40 apply (zenon_L298_); trivial. % 1.22/1.40 (* end of lemma zenon_L915_ *) % 1.22/1.40 assert (zenon_L916_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H98 zenon_H95 zenon_H92 zenon_H171 zenon_H134 zenon_H12d zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H114 zenon_H113 zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H2e7 zenon_H212 zenon_H53 zenon_H260 zenon_H87 zenon_H99 zenon_H9b zenon_H52. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L909_); trivial. % 1.22/1.40 apply (zenon_L35_); trivial. % 1.22/1.40 (* end of lemma zenon_L916_ *) % 1.22/1.40 assert (zenon_L917_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c3_1 (a380))) -> (c0_1 (a380)) -> (~(hskp26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c2_1 (a358)) -> (ndr1_0) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H53 zenon_H1e3 zenon_Ha4 zenon_Ha3 zenon_H1e0 zenon_H1e2 zenon_H1d0 zenon_H10 zenon_H42 zenon_H43 zenon_H44 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H6d zenon_H6e zenon_H6f zenon_H5 zenon_H10c zenon_H232. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.40 apply (zenon_L411_); trivial. % 1.22/1.40 apply (zenon_L130_); trivial. % 1.22/1.40 (* end of lemma zenon_L917_ *) % 1.22/1.40 assert (zenon_L918_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp1)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1f0 zenon_H334 zenon_H44 zenon_H43 zenon_H42 zenon_H180. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H41 | zenon_intro zenon_H335 ]. % 1.22/1.40 apply (zenon_L15_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H181 ]. % 1.22/1.40 apply (zenon_L132_); trivial. % 1.22/1.40 exact (zenon_H180 zenon_H181). % 1.22/1.40 (* end of lemma zenon_L918_ *) % 1.22/1.40 assert (zenon_L919_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a358)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H4d zenon_H204 zenon_H334 zenon_H180 zenon_H232 zenon_H10c zenon_H5 zenon_H6f zenon_H6e zenon_H6d zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H1ce zenon_H1cf zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1d0 zenon_H1e2 zenon_Ha3 zenon_Ha4 zenon_H1e3 zenon_H53. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.22/1.40 apply (zenon_L917_); trivial. % 1.22/1.40 apply (zenon_L918_); trivial. % 1.22/1.40 (* end of lemma zenon_L919_ *) % 1.22/1.40 assert (zenon_L920_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (c0_1 (a380)) -> (~(c3_1 (a380))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H52 zenon_H204 zenon_H334 zenon_H180 zenon_H232 zenon_H10c zenon_H5 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1e2 zenon_Ha3 zenon_Ha4 zenon_H1e3 zenon_H87 zenon_H260 zenon_H53 zenon_H212 zenon_H2e7 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a zenon_H297 zenon_H205 zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H134 zenon_H171. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_L835_); trivial. % 1.22/1.40 apply (zenon_L919_); trivial. % 1.22/1.40 (* end of lemma zenon_L920_ *) % 1.22/1.40 assert (zenon_L921_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H94 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H99 zenon_H28f zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H205 zenon_H207. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.40 apply (zenon_L217_); trivial. % 1.22/1.40 apply (zenon_L346_); trivial. % 1.22/1.40 (* end of lemma zenon_L921_ *) % 1.22/1.40 assert (zenon_L922_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19e zenon_H87 zenon_H184 zenon_H180 zenon_H68 zenon_H6a zenon_H207 zenon_H205 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_H28f zenon_H99 zenon_H1b3 zenon_H1b5 zenon_H134 zenon_H98. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L95_); trivial. % 1.22/1.40 apply (zenon_L921_); trivial. % 1.22/1.40 apply (zenon_L140_); trivial. % 1.22/1.40 (* end of lemma zenon_L922_ *) % 1.22/1.40 assert (zenon_L923_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H137 zenon_H87 zenon_H16c zenon_H9f zenon_H31a zenon_H31b zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H1 zenon_H2e7 zenon_H68 zenon_H6a zenon_H273 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H261 zenon_H53 zenon_H54 zenon_H98. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L851_); trivial. % 1.22/1.40 apply (zenon_L417_); trivial. % 1.22/1.40 apply (zenon_L113_); trivial. % 1.22/1.40 (* end of lemma zenon_L923_ *) % 1.22/1.40 assert (zenon_L924_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H3d zenon_H132 zenon_H5 zenon_H10c zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.22/1.40 apply (zenon_L324_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.22/1.40 apply (zenon_L106_); trivial. % 1.22/1.40 apply (zenon_L59_); trivial. % 1.22/1.40 (* end of lemma zenon_L924_ *) % 1.22/1.40 assert (zenon_L925_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H55 zenon_H53 zenon_H132 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.40 apply (zenon_L320_); trivial. % 1.22/1.40 apply (zenon_L924_); trivial. % 1.22/1.40 (* end of lemma zenon_L925_ *) % 1.22/1.40 assert (zenon_L926_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H54 zenon_H53 zenon_H132 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.40 apply (zenon_L222_); trivial. % 1.22/1.40 apply (zenon_L925_); trivial. % 1.22/1.40 (* end of lemma zenon_L926_ *) % 1.22/1.40 assert (zenon_L927_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H132 zenon_H53 zenon_H54. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.40 apply (zenon_L926_); trivial. % 1.22/1.40 apply (zenon_L113_); trivial. % 1.22/1.40 (* end of lemma zenon_L927_ *) % 1.22/1.40 assert (zenon_L928_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H214 zenon_H19d zenon_H136 zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10c zenon_H132 zenon_H212 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.40 apply (zenon_L424_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.40 apply (zenon_L420_); trivial. % 1.22/1.40 apply (zenon_L927_); trivial. % 1.22/1.40 (* end of lemma zenon_L928_ *) % 1.22/1.40 assert (zenon_L929_ : ((ndr1_0)/\((c2_1 (a364))/\((~(c0_1 (a364)))/\(~(c1_1 (a364)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H30c zenon_H217 zenon_H136 zenon_H1e3 zenon_H212 zenon_H54 zenon_H53 zenon_H3e zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H207 zenon_H19d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.40 apply (zenon_L424_); trivial. % 1.22/1.40 apply (zenon_L400_); trivial. % 1.22/1.40 apply (zenon_L423_); trivial. % 1.22/1.40 (* end of lemma zenon_L929_ *) % 1.22/1.40 assert (zenon_L930_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a359))) -> (c1_1 (a353)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H16c zenon_H175 zenon_H174 zenon_H1a2 zenon_H173 zenon_H31b zenon_Hd1 zenon_H31a zenon_H10 zenon_H9f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.40 apply (zenon_L213_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.40 apply (zenon_L808_); trivial. % 1.22/1.40 exact (zenon_H9f zenon_Ha0). % 1.22/1.40 (* end of lemma zenon_L930_ *) % 1.22/1.40 assert (zenon_L931_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a359))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H16c zenon_H175 zenon_H174 zenon_H1a2 zenon_H173 zenon_H31b zenon_H31a zenon_H10 zenon_H9f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.40 apply (zenon_L88_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.40 apply (zenon_L76_); trivial. % 1.22/1.40 apply (zenon_L930_); trivial. % 1.22/1.40 (* end of lemma zenon_L931_ *) % 1.22/1.40 assert (zenon_L932_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H4d zenon_H232 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H16c zenon_H175 zenon_H174 zenon_H173 zenon_H31b zenon_H31a zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.40 apply (zenon_L15_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.40 apply (zenon_L88_); trivial. % 1.22/1.40 apply (zenon_L931_); trivial. % 1.22/1.40 (* end of lemma zenon_L932_ *) % 1.22/1.40 assert (zenon_L933_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H140 zenon_H227 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H173 zenon_H174 zenon_H175 zenon_H1cc zenon_H31a zenon_H31b zenon_H16c zenon_H14c zenon_H14b zenon_H14a zenon_H232 zenon_H52. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_L202_); trivial. % 1.22/1.40 apply (zenon_L932_); trivial. % 1.22/1.40 apply (zenon_L376_); trivial. % 1.22/1.40 (* end of lemma zenon_L933_ *) % 1.22/1.40 assert (zenon_L934_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H135 zenon_H136 zenon_H334 zenon_H180 zenon_H327 zenon_H31a zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H54 zenon_H53 zenon_H212 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H232 zenon_H52. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.40 apply (zenon_L429_); trivial. % 1.22/1.40 apply (zenon_L831_); trivial. % 1.22/1.40 (* end of lemma zenon_L934_ *) % 1.22/1.40 assert (zenon_L935_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19d zenon_H136 zenon_H334 zenon_H180 zenon_H327 zenon_H1e3 zenon_H54 zenon_H212 zenon_H4b zenon_H160 zenon_H1f zenon_H76 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4 zenon_H52 zenon_H232 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3e zenon_H53 zenon_H227 zenon_H140. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.40 apply (zenon_L933_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.40 apply (zenon_L323_); trivial. % 1.22/1.40 apply (zenon_L934_); trivial. % 1.22/1.40 (* end of lemma zenon_L935_ *) % 1.22/1.40 assert (zenon_L936_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp12)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp9)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hcc zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H2cf zenon_H9f zenon_H31a zenon_H31b zenon_H173 zenon_H174 zenon_H175 zenon_H16c zenon_H2cd. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.40 apply (zenon_L88_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.40 apply (zenon_L76_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2d0 ]. % 1.22/1.40 apply (zenon_L930_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H2ce ]. % 1.22/1.40 apply (zenon_L46_); trivial. % 1.22/1.40 exact (zenon_H2cd zenon_H2ce). % 1.22/1.40 (* end of lemma zenon_L936_ *) % 1.22/1.40 assert (zenon_L937_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a353)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H31a zenon_Hd1 zenon_H31b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.40 apply (zenon_L88_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_L19_); trivial. % 1.22/1.40 apply (zenon_L808_); trivial. % 1.22/1.40 (* end of lemma zenon_L937_ *) % 1.22/1.40 assert (zenon_L938_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H145 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H31a zenon_H31b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.40 apply (zenon_L88_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.40 apply (zenon_L76_); trivial. % 1.22/1.40 apply (zenon_L937_); trivial. % 1.22/1.40 (* end of lemma zenon_L938_ *) % 1.22/1.40 assert (zenon_L939_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H148 zenon_H2d1 zenon_H234 zenon_He2 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H2cf zenon_H2cd zenon_H31a zenon_H31b zenon_H9f zenon_H16c zenon_H1cc zenon_Hd0. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.40 apply (zenon_L166_); trivial. % 1.22/1.40 apply (zenon_L936_); trivial. % 1.22/1.40 apply (zenon_L938_); trivial. % 1.22/1.40 (* end of lemma zenon_L939_ *) % 1.22/1.40 assert (zenon_L940_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H13a zenon_H52 zenon_H232 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H9f zenon_H31b zenon_H31a zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.40 apply (zenon_L145_); trivial. % 1.22/1.40 apply (zenon_L932_); trivial. % 1.22/1.40 (* end of lemma zenon_L940_ *) % 1.22/1.40 assert (zenon_L941_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H136 zenon_H52 zenon_H232 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53 zenon_Hd0 zenon_H1cc zenon_H16c zenon_H9f zenon_H31b zenon_H31a zenon_H2cd zenon_H2cf zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H234 zenon_H2d1 zenon_H148. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.40 apply (zenon_L939_); trivial. % 1.22/1.40 apply (zenon_L940_); trivial. % 1.22/1.40 (* end of lemma zenon_L941_ *) % 1.22/1.40 assert (zenon_L942_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a353)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19d zenon_H334 zenon_H180 zenon_H327 zenon_H54 zenon_H212 zenon_H4b zenon_H160 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H76 zenon_H148 zenon_H2d1 zenon_H234 zenon_H2cf zenon_H2cd zenon_Hd0 zenon_H1e3 zenon_H136 zenon_H52 zenon_H232 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3e zenon_H53 zenon_H227 zenon_H140. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.40 apply (zenon_L933_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.40 apply (zenon_L941_); trivial. % 1.22/1.40 apply (zenon_L934_); trivial. % 1.22/1.40 (* end of lemma zenon_L942_ *) % 1.22/1.40 assert (zenon_L943_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (c2_1 (a364)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19d zenon_H207 zenon_H205 zenon_H2d7 zenon_H2d6 zenon_H2d8 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H52 zenon_H232 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H1cc zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3e zenon_H53 zenon_H227 zenon_H140. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.40 apply (zenon_L933_); trivial. % 1.22/1.40 apply (zenon_L400_); trivial. % 1.22/1.40 (* end of lemma zenon_L943_ *) % 1.22/1.40 assert (zenon_L944_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H140 zenon_H52 zenon_H232 zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53 zenon_H10 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H20b zenon_H20a zenon_H209 zenon_H1cc. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.40 apply (zenon_L878_); trivial. % 1.22/1.40 apply (zenon_L376_); trivial. % 1.22/1.40 (* end of lemma zenon_L944_ *) % 1.22/1.40 assert (zenon_L945_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19f zenon_H140 zenon_H171 zenon_H134 zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.40 apply (zenon_L323_); trivial. % 1.22/1.40 apply (zenon_L865_); trivial. % 1.22/1.40 (* end of lemma zenon_L945_ *) % 1.22/1.40 assert (zenon_L946_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H19d zenon_H140 zenon_H171 zenon_H134 zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H1b3 zenon_H2b4 zenon_Hd zenon_Hb zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.41 apply (zenon_L322_); trivial. % 1.22/1.41 apply (zenon_L945_); trivial. % 1.22/1.41 (* end of lemma zenon_L946_ *) % 1.22/1.41 assert (zenon_L947_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a375)) -> (~(c0_1 (a375))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (~(hskp16)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H293 zenon_H187 zenon_H186 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H88 zenon_H5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.22/1.41 apply (zenon_L97_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.22/1.41 apply (zenon_L290_); trivial. % 1.22/1.41 exact (zenon_H5 zenon_H6). % 1.22/1.41 (* end of lemma zenon_L947_ *) % 1.22/1.41 assert (zenon_L948_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hb3 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.22/1.41 apply (zenon_L232_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.22/1.41 apply (zenon_L319_); trivial. % 1.22/1.41 exact (zenon_H1b zenon_H1c). % 1.22/1.41 (* end of lemma zenon_L948_ *) % 1.22/1.41 assert (zenon_L949_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c0_1 (a375))) -> (c3_1 (a375)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hcd zenon_Hc8 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b zenon_H1f zenon_H186 zenon_H187 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.22/1.41 apply (zenon_L947_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.22/1.41 apply (zenon_L948_); trivial. % 1.22/1.41 apply (zenon_L47_); trivial. % 1.22/1.41 (* end of lemma zenon_L949_ *) % 1.22/1.41 assert (zenon_L950_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a375)) -> (~(c0_1 (a375))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H53 zenon_H261 zenon_Hb1 zenon_Haf zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H187 zenon_H186 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hc8 zenon_Hcd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.41 apply (zenon_L949_); trivial. % 1.22/1.41 apply (zenon_L412_); trivial. % 1.22/1.41 (* end of lemma zenon_L950_ *) % 1.22/1.41 assert (zenon_L951_ : ((ndr1_0)/\((c3_1 (a375))/\((~(c0_1 (a375)))/\(~(c1_1 (a375)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H19a zenon_H137 zenon_H1c1 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H53 zenon_H261 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H293 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hc8 zenon_Hcd zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.41 apply (zenon_L273_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_L950_); trivial. % 1.22/1.41 apply (zenon_L826_); trivial. % 1.22/1.41 apply (zenon_L113_); trivial. % 1.22/1.41 (* end of lemma zenon_L951_ *) % 1.22/1.41 assert (zenon_L952_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c2_1 (a369))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H98 zenon_H260 zenon_H2e7 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H134 zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_Hf1 zenon_H171 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H113 zenon_H112 zenon_H114 zenon_H232 zenon_H52. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L443_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.41 apply (zenon_L836_); trivial. % 1.22/1.41 apply (zenon_L866_); trivial. % 1.22/1.41 apply (zenon_L214_); trivial. % 1.22/1.41 (* end of lemma zenon_L952_ *) % 1.22/1.41 assert (zenon_L953_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (~(hskp8)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H89 zenon_H8a zenon_H8b zenon_H1a6 zenon_H31b zenon_H31a zenon_H10 zenon_H162 zenon_H1b3. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.41 apply (zenon_L105_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.41 apply (zenon_L808_); trivial. % 1.22/1.41 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.41 (* end of lemma zenon_L953_ *) % 1.22/1.41 assert (zenon_L954_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp8)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H94 zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59 zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H1a6 zenon_H31b zenon_H31a zenon_H1b3. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.41 apply (zenon_L88_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_L19_); trivial. % 1.22/1.41 apply (zenon_L953_); trivial. % 1.22/1.41 (* end of lemma zenon_L954_ *) % 1.22/1.41 assert (zenon_L955_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c2_1 (a369))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H145 zenon_H98 zenon_H2d1 zenon_H1a6 zenon_H31a zenon_H31b zenon_H1b3 zenon_H1b5 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H113 zenon_H112 zenon_H114 zenon_H232 zenon_H52. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L443_); trivial. % 1.22/1.41 apply (zenon_L954_); trivial. % 1.22/1.41 (* end of lemma zenon_L955_ *) % 1.22/1.41 assert (zenon_L956_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H19f zenon_H140 zenon_H52 zenon_H232 zenon_H334 zenon_H180 zenon_H227 zenon_H155 zenon_H281 zenon_H280 zenon_H27f zenon_H134 zenon_H12d zenon_H327 zenon_H32f zenon_Hb zenon_Hf1 zenon_H76 zenon_H82 zenon_H54 zenon_H87 zenon_H171 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H20b zenon_H20a zenon_H209 zenon_H1cc. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.41 apply (zenon_L878_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_L867_); trivial. % 1.22/1.41 apply (zenon_L820_); trivial. % 1.22/1.41 (* end of lemma zenon_L956_ *) % 1.22/1.41 assert (zenon_L957_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1b1 zenon_H1b3 zenon_H1b5 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H260 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H303 zenon_H53 zenon_H99 zenon_H68 zenon_H9b zenon_H52. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_L884_); trivial. % 1.22/1.41 apply (zenon_L296_); trivial. % 1.22/1.41 (* end of lemma zenon_L957_ *) % 1.22/1.41 assert (zenon_L958_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H148 zenon_H303 zenon_H52 zenon_H9b zenon_H68 zenon_H99 zenon_H260 zenon_H53 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H297 zenon_H205 zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H134 zenon_H171 zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H137. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_L887_); trivial. % 1.22/1.41 apply (zenon_L296_); trivial. % 1.22/1.41 apply (zenon_L957_); trivial. % 1.22/1.41 (* end of lemma zenon_L958_ *) % 1.22/1.41 assert (zenon_L959_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H217 zenon_H136 zenon_H1e3 zenon_H212 zenon_H1d0 zenon_H23 zenon_H227 zenon_H52 zenon_H171 zenon_H53 zenon_H3e zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1cf zenon_H1ce zenon_H297 zenon_H1cc zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H2b4 zenon_H1b3 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H134 zenon_H140 zenon_H19d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.41 apply (zenon_L462_); trivial. % 1.22/1.41 apply (zenon_L945_); trivial. % 1.22/1.41 apply (zenon_L350_); trivial. % 1.22/1.41 (* end of lemma zenon_L959_ *) % 1.22/1.41 assert (zenon_L960_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a369))) -> (c0_1 (a369)) -> (c3_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H52 zenon_H232 zenon_H114 zenon_H112 zenon_H113 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H261 zenon_H2a1 zenon_H260. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_L672_); trivial. % 1.22/1.41 apply (zenon_L214_); trivial. % 1.22/1.41 (* end of lemma zenon_L960_ *) % 1.22/1.41 assert (zenon_L961_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c0_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H148 zenon_H2d1 zenon_H303 zenon_H52 zenon_H232 zenon_H112 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H260 zenon_H53 zenon_H2a1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H297 zenon_H205 zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H134 zenon_H171 zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H68 zenon_H1b1 zenon_H137. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_L886_); trivial. % 1.22/1.41 apply (zenon_L214_); trivial. % 1.22/1.41 apply (zenon_L296_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_L960_); trivial. % 1.22/1.41 apply (zenon_L845_); trivial. % 1.22/1.41 (* end of lemma zenon_L961_ *) % 1.22/1.41 assert (zenon_L962_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (ndr1_0) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H217 zenon_H136 zenon_H1e3 zenon_H212 zenon_H140 zenon_H52 zenon_H232 zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H10 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H297 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H134 zenon_H171 zenon_H19d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.41 apply (zenon_L415_); trivial. % 1.22/1.41 apply (zenon_L945_); trivial. % 1.22/1.41 apply (zenon_L350_); trivial. % 1.22/1.41 (* end of lemma zenon_L962_ *) % 1.22/1.41 assert (zenon_L963_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H88 zenon_H10 zenon_H27f zenon_H280 zenon_H281. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H27 | zenon_intro zenon_H1e4 ]. % 1.22/1.41 apply (zenon_L125_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H33 ]. % 1.22/1.41 apply (zenon_L59_); trivial. % 1.22/1.41 apply (zenon_L290_); trivial. % 1.22/1.41 (* end of lemma zenon_L963_ *) % 1.22/1.41 assert (zenon_L964_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(hskp28)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hc7 zenon_Hc8 zenon_H281 zenon_H280 zenon_H27f zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H1b zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.22/1.41 apply (zenon_L963_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.22/1.41 apply (zenon_L948_); trivial. % 1.22/1.41 apply (zenon_L47_); trivial. % 1.22/1.41 (* end of lemma zenon_L964_ *) % 1.22/1.41 assert (zenon_L965_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hcd zenon_Hc8 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b zenon_H1f zenon_H1ce zenon_H1cf zenon_H1d0 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H27f zenon_H280 zenon_H281 zenon_H1e3 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_L964_); trivial. % 1.22/1.41 (* end of lemma zenon_L965_ *) % 1.22/1.41 assert (zenon_L966_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(hskp16)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H3d zenon_H261 zenon_H281 zenon_H280 zenon_H27f zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H5. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H88 | zenon_intro zenon_H262 ]. % 1.22/1.41 apply (zenon_L963_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.22/1.41 apply (zenon_L13_); trivial. % 1.22/1.41 exact (zenon_H5 zenon_H6). % 1.22/1.41 (* end of lemma zenon_L966_ *) % 1.22/1.41 assert (zenon_L967_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H53 zenon_H261 zenon_H5 zenon_Hb1 zenon_Haf zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1e3 zenon_H281 zenon_H280 zenon_H27f zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hc8 zenon_Hcd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.41 apply (zenon_L965_); trivial. % 1.22/1.41 apply (zenon_L966_); trivial. % 1.22/1.41 (* end of lemma zenon_L967_ *) % 1.22/1.41 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H53 zenon_H261 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hc8 zenon_Hcd zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.41 apply (zenon_L273_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_L967_); trivial. % 1.22/1.41 apply (zenon_L826_); trivial. % 1.22/1.41 apply (zenon_L113_); trivial. % 1.22/1.41 (* end of lemma zenon_L968_ *) % 1.22/1.41 assert (zenon_L969_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (~(hskp28)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (c0_1 (a373)) -> (c1_1 (a373)) -> (c3_1 (a373)) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hc8 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H1b zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1f zenon_H10 zenon_Hbe zenon_Hbf zenon_Hc0. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.22/1.41 apply (zenon_L290_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.22/1.41 apply (zenon_L948_); trivial. % 1.22/1.41 apply (zenon_L47_); trivial. % 1.22/1.41 (* end of lemma zenon_L969_ *) % 1.22/1.41 assert (zenon_L970_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp28)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp13)) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hc7 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H1f zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1b zenon_H27f zenon_H280 zenon_H281 zenon_Hc8 zenon_He2. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.22/1.41 apply (zenon_L141_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.22/1.41 apply (zenon_L969_); trivial. % 1.22/1.41 exact (zenon_He2 zenon_He3). % 1.22/1.41 (* end of lemma zenon_L970_ *) % 1.22/1.41 assert (zenon_L971_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hcd zenon_H212 zenon_He2 zenon_H27f zenon_H280 zenon_H281 zenon_H1f zenon_H1b zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hc8 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_L970_); trivial. % 1.22/1.41 (* end of lemma zenon_L971_ *) % 1.22/1.41 assert (zenon_L972_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H53 zenon_Hb1 zenon_Haf zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_Hc8 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H281 zenon_H280 zenon_H27f zenon_He2 zenon_H212 zenon_Hcd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.41 apply (zenon_L971_); trivial. % 1.22/1.41 apply (zenon_L142_); trivial. % 1.22/1.41 (* end of lemma zenon_L972_ *) % 1.22/1.41 assert (zenon_L973_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hcd zenon_H212 zenon_He2 zenon_H27f zenon_H280 zenon_H281 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hc8 zenon_H20b zenon_H20a zenon_H209 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H53. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_L972_); trivial. % 1.22/1.41 apply (zenon_L826_); trivial. % 1.22/1.41 (* end of lemma zenon_L973_ *) % 1.22/1.41 assert (zenon_L974_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H19f zenon_H136 zenon_H137 zenon_H1c1 zenon_H261 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H53 zenon_Hb1 zenon_H209 zenon_H20a zenon_H20b zenon_Hc8 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H212 zenon_Hcd zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.41 apply (zenon_L273_); trivial. % 1.22/1.41 apply (zenon_L973_); trivial. % 1.22/1.41 apply (zenon_L968_); trivial. % 1.22/1.41 (* end of lemma zenon_L974_ *) % 1.22/1.41 assert (zenon_L975_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H214 zenon_H19d zenon_H136 zenon_H137 zenon_H1c1 zenon_H261 zenon_H1e3 zenon_H155 zenon_H281 zenon_H280 zenon_H27f zenon_Hb1 zenon_Hc8 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H212 zenon_Hcd zenon_H327 zenon_H32f zenon_H134 zenon_H171 zenon_H1cc zenon_H31a zenon_H31b zenon_H16c zenon_H14c zenon_H14b zenon_H14a zenon_H175 zenon_H174 zenon_H173 zenon_H53 zenon_H3e zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H232 zenon_H52 zenon_H140. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.41 apply (zenon_L944_); trivial. % 1.22/1.41 apply (zenon_L974_); trivial. % 1.22/1.41 (* end of lemma zenon_L975_ *) % 1.22/1.41 assert (zenon_L976_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H12d zenon_H102 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.22/1.41 apply (zenon_L474_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.22/1.41 apply (zenon_L473_); trivial. % 1.22/1.41 exact (zenon_Haf zenon_Hb0). % 1.22/1.41 (* end of lemma zenon_L976_ *) % 1.22/1.41 assert (zenon_L977_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp4)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1a6 zenon_H8b zenon_H8a zenon_H89 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_Hb. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.22/1.41 apply (zenon_L33_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.22/1.41 apply (zenon_L976_); trivial. % 1.22/1.41 exact (zenon_Hb zenon_Hc). % 1.22/1.41 (* end of lemma zenon_L977_ *) % 1.22/1.41 assert (zenon_L978_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H89 zenon_H8a zenon_H8b zenon_H5 zenon_H261 zenon_H53. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.41 apply (zenon_L503_); trivial. % 1.22/1.41 apply (zenon_L211_); trivial. % 1.22/1.41 apply (zenon_L826_); trivial. % 1.22/1.41 (* end of lemma zenon_L978_ *) % 1.22/1.41 assert (zenon_L979_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H94 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H5 zenon_H261 zenon_H53 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2e7 zenon_H260. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.41 apply (zenon_L836_); trivial. % 1.22/1.41 apply (zenon_L978_); trivial. % 1.22/1.41 (* end of lemma zenon_L979_ *) % 1.22/1.41 assert (zenon_L980_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H98 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H5 zenon_H261 zenon_H53 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2e7 zenon_H260 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H4b zenon_H4e zenon_H52. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L32_); trivial. % 1.22/1.41 apply (zenon_L979_); trivial. % 1.22/1.41 (* end of lemma zenon_L980_ *) % 1.22/1.41 assert (zenon_L981_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp21)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H89 zenon_H8a zenon_H8b zenon_H1a6 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H64 zenon_Hb zenon_Hf1 zenon_Hcd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_L624_); trivial. % 1.22/1.41 apply (zenon_L110_); trivial. % 1.22/1.41 (* end of lemma zenon_L981_ *) % 1.22/1.41 assert (zenon_L982_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_H1d zenon_H76 zenon_Hcd zenon_Hf1 zenon_Hb zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H12d zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H1a6 zenon_H8b zenon_H8a zenon_H89 zenon_H1b3 zenon_H1b5 zenon_H134. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.41 apply (zenon_L981_); trivial. % 1.22/1.41 apply (zenon_L30_); trivial. % 1.22/1.41 (* end of lemma zenon_L982_ *) % 1.22/1.41 assert (zenon_L983_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H94 zenon_H52 zenon_H4e zenon_H4b zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_Hb zenon_Hf1 zenon_Hcd zenon_H76 zenon_H82 zenon_H54 zenon_H87. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_L982_); trivial. % 1.22/1.41 apply (zenon_L17_); trivial. % 1.22/1.41 (* end of lemma zenon_L983_ *) % 1.22/1.41 assert (zenon_L984_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13d zenon_H98 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hb1 zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_Hf1 zenon_Hcd zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H4b zenon_H4e zenon_H52. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L32_); trivial. % 1.22/1.41 apply (zenon_L983_); trivial. % 1.22/1.41 (* end of lemma zenon_L984_ *) % 1.22/1.41 assert (zenon_L985_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H137 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hb1 zenon_H12c zenon_Hf1 zenon_Hcd zenon_H52 zenon_H4e zenon_H4b zenon_H6a zenon_H68 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_H82 zenon_H54 zenon_H87 zenon_H260 zenon_H2e7 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H53 zenon_H261 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171 zenon_H98. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_L980_); trivial. % 1.22/1.41 apply (zenon_L984_); trivial. % 1.22/1.41 (* end of lemma zenon_L985_ *) % 1.22/1.41 assert (zenon_L986_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp21)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H54 zenon_H160 zenon_H4b zenon_H12d zenon_Haf zenon_H5b zenon_H5a zenon_H59 zenon_H64 zenon_Hb zenon_Hf1 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.41 apply (zenon_L27_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L9_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf4 ]. % 1.22/1.41 apply (zenon_L839_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc ]. % 1.22/1.41 exact (zenon_H64 zenon_H65). % 1.22/1.41 exact (zenon_Hb zenon_Hc). % 1.22/1.41 exact (zenon_H4b zenon_H4c). % 1.22/1.41 (* end of lemma zenon_L986_ *) % 1.22/1.41 assert (zenon_L987_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H87 zenon_H82 zenon_H54 zenon_H160 zenon_H4b zenon_H12d zenon_H5b zenon_H5a zenon_H59 zenon_Hb zenon_Hf1 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_H1d zenon_H76 zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H327 zenon_H32f zenon_H134. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_L986_); trivial. % 1.22/1.41 apply (zenon_L879_); trivial. % 1.22/1.41 apply (zenon_L30_); trivial. % 1.22/1.41 (* end of lemma zenon_L987_ *) % 1.22/1.41 assert (zenon_L988_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H145 zenon_H52 zenon_H4e zenon_H134 zenon_H32f zenon_H327 zenon_H31a zenon_H31b zenon_Hdb zenon_Hde zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hf1 zenon_Hb zenon_H12d zenon_H4b zenon_H160 zenon_H54 zenon_H82 zenon_H87. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_L987_); trivial. % 1.22/1.41 apply (zenon_L17_); trivial. % 1.22/1.41 (* end of lemma zenon_L988_ *) % 1.22/1.41 assert (zenon_L989_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H52 zenon_H4e zenon_Hb zenon_H4b zenon_H12d zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H327 zenon_H32f zenon_H134. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_L479_); trivial. % 1.22/1.41 apply (zenon_L879_); trivial. % 1.22/1.41 apply (zenon_L17_); trivial. % 1.22/1.41 (* end of lemma zenon_L989_ *) % 1.22/1.41 assert (zenon_L990_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H19f zenon_H136 zenon_H10c zenon_H137 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hb1 zenon_H12c zenon_Hf1 zenon_Hcd zenon_H52 zenon_H4e zenon_H4b zenon_H6a zenon_H68 zenon_H76 zenon_Hb zenon_H82 zenon_H54 zenon_H87 zenon_H260 zenon_H2e7 zenon_H234 zenon_H2cb zenon_Hd0 zenon_H53 zenon_H261 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171 zenon_H98 zenon_H160 zenon_Hde zenon_Hdb zenon_H148. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.41 apply (zenon_L985_); trivial. % 1.22/1.41 apply (zenon_L988_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_L989_); trivial. % 1.22/1.41 apply (zenon_L984_); trivial. % 1.22/1.41 (* end of lemma zenon_L990_ *) % 1.22/1.41 assert (zenon_L991_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H98 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H5 zenon_H261 zenon_H53 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2e7 zenon_H260 zenon_H6a zenon_H68 zenon_Hd zenon_Hb zenon_H3 zenon_H82 zenon_H54 zenon_H87. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L87_); trivial. % 1.22/1.41 apply (zenon_L979_); trivial. % 1.22/1.41 (* end of lemma zenon_L991_ *) % 1.22/1.41 assert (zenon_L992_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13d zenon_H52 zenon_H4e zenon_Hb zenon_H4b zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H327 zenon_H32f zenon_H134. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_L532_); trivial. % 1.22/1.41 apply (zenon_L879_); trivial. % 1.22/1.41 apply (zenon_L17_); trivial. % 1.22/1.41 (* end of lemma zenon_L992_ *) % 1.22/1.41 assert (zenon_L993_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H134 zenon_H32f zenon_H327 zenon_H31a zenon_H31b zenon_Hdb zenon_Hde zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H4b zenon_Hb zenon_H4e zenon_H52. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_L989_); trivial. % 1.22/1.41 apply (zenon_L992_); trivial. % 1.22/1.41 (* end of lemma zenon_L993_ *) % 1.22/1.41 assert (zenon_L994_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H136 zenon_H10c zenon_H137 zenon_H52 zenon_H4e zenon_H4b zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_Hde zenon_Hdb zenon_H87 zenon_H54 zenon_H82 zenon_H3 zenon_Hb zenon_Hd zenon_H68 zenon_H6a zenon_H260 zenon_H2e7 zenon_H234 zenon_H2cb zenon_Hd0 zenon_H53 zenon_H261 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171 zenon_H98 zenon_H62 zenon_H148. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.41 apply (zenon_L991_); trivial. % 1.22/1.41 apply (zenon_L992_); trivial. % 1.22/1.41 apply (zenon_L74_); trivial. % 1.22/1.41 apply (zenon_L993_); trivial. % 1.22/1.41 (* end of lemma zenon_L994_ *) % 1.22/1.41 assert (zenon_L995_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp19)) -> (~(hskp2)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp12)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H55 zenon_H16c zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H160 zenon_H1d zenon_Hdb zenon_H31a zenon_H31b zenon_Hde zenon_H9f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.41 apply (zenon_L80_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.41 apply (zenon_L809_); trivial. % 1.22/1.41 exact (zenon_H9f zenon_Ha0). % 1.22/1.41 (* end of lemma zenon_L995_ *) % 1.22/1.41 assert (zenon_L996_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> (~(hskp19)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp24)\/((hskp11)\/(hskp4))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H54 zenon_H16c zenon_H9f zenon_H31a zenon_H31b zenon_Hdb zenon_H1d zenon_Hde zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H3 zenon_Hb zenon_Hd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.41 apply (zenon_L7_); trivial. % 1.22/1.41 apply (zenon_L995_); trivial. % 1.22/1.41 (* end of lemma zenon_L996_ *) % 1.22/1.41 assert (zenon_L997_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((hskp24)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H52 zenon_H4e zenon_Hd zenon_Hb zenon_H3 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H9f zenon_H16c zenon_H54. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.41 apply (zenon_L996_); trivial. % 1.22/1.41 apply (zenon_L17_); trivial. % 1.22/1.41 (* end of lemma zenon_L997_ *) % 1.22/1.41 assert (zenon_L998_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp19)) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H32f zenon_H1d zenon_Hdb zenon_Hde zenon_H31b zenon_H327 zenon_H31a zenon_H111 zenon_H10 zenon_H114 zenon_H113. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H162 | zenon_intro zenon_H330 ]. % 1.22/1.41 apply (zenon_L809_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H326 | zenon_intro zenon_Hd1 ]. % 1.22/1.41 apply (zenon_L810_); trivial. % 1.22/1.41 apply (zenon_L118_); trivial. % 1.22/1.41 (* end of lemma zenon_L998_ *) % 1.22/1.41 assert (zenon_L999_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c0_1 (a353)) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> (~(hskp19)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H134 zenon_H32f zenon_H113 zenon_H114 zenon_H327 zenon_H10 zenon_H31a zenon_H31b zenon_Hdb zenon_H1d zenon_Hde zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.22/1.41 apply (zenon_L998_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.22/1.41 apply (zenon_L473_); trivial. % 1.22/1.41 exact (zenon_Haf zenon_Hb0). % 1.22/1.41 apply (zenon_L879_); trivial. % 1.22/1.41 (* end of lemma zenon_L999_ *) % 1.22/1.41 assert (zenon_L1000_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H135 zenon_H52 zenon_H4e zenon_Hb zenon_H4b zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H327 zenon_H32f zenon_H134. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_L999_); trivial. % 1.22/1.42 apply (zenon_L17_); trivial. % 1.22/1.42 (* end of lemma zenon_L1000_ *) % 1.22/1.42 assert (zenon_L1001_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H52 zenon_H4e zenon_Hb zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H9f zenon_H16c zenon_H54. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.42 apply (zenon_L27_); trivial. % 1.22/1.42 apply (zenon_L995_); trivial. % 1.22/1.42 apply (zenon_L17_); trivial. % 1.22/1.42 (* end of lemma zenon_L1001_ *) % 1.22/1.42 assert (zenon_L1002_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H19f zenon_H140 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H327 zenon_H32f zenon_H134 zenon_H54 zenon_H16c zenon_H31a zenon_H31b zenon_Hdb zenon_Hde zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H76 zenon_Hb zenon_H4e zenon_H52. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.42 apply (zenon_L1001_); trivial. % 1.22/1.42 apply (zenon_L1000_); trivial. % 1.22/1.42 (* end of lemma zenon_L1002_ *) % 1.22/1.42 assert (zenon_L1003_ : ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a353)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H327 zenon_H224 zenon_H31a zenon_H10 zenon_H2b8. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H128 | zenon_intro zenon_H2c8 ]. % 1.22/1.42 apply (zenon_L473_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2b9 ]. % 1.22/1.42 apply (zenon_L814_); trivial. % 1.22/1.42 exact (zenon_H2b8 zenon_H2b9). % 1.22/1.42 (* end of lemma zenon_L1003_ *) % 1.22/1.42 assert (zenon_L1004_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H4d zenon_Hd0 zenon_H21a zenon_Hdb zenon_H232 zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H205 zenon_H318 zenon_H2c6. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.42 apply (zenon_L15_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.42 apply (zenon_L88_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.22/1.42 apply (zenon_L15_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.22/1.42 apply (zenon_L213_); trivial. % 1.22/1.42 apply (zenon_L1003_); trivial. % 1.22/1.42 apply (zenon_L710_); trivial. % 1.22/1.42 apply (zenon_L150_); trivial. % 1.22/1.42 (* end of lemma zenon_L1004_ *) % 1.22/1.42 assert (zenon_L1005_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c1_1 (a353)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H145 zenon_H98 zenon_H2d1 zenon_H1a6 zenon_H31b zenon_H1b3 zenon_H1b5 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_H2c6 zenon_H318 zenon_H205 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H232 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_L31_); trivial. % 1.22/1.42 apply (zenon_L1004_); trivial. % 1.22/1.42 apply (zenon_L954_); trivial. % 1.22/1.42 (* end of lemma zenon_L1005_ *) % 1.22/1.42 assert (zenon_L1006_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H20b zenon_H20a zenon_H209 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H327 zenon_H31a zenon_H10 zenon_H2b8. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.22/1.42 apply (zenon_L15_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.22/1.42 apply (zenon_L141_); trivial. % 1.22/1.42 apply (zenon_L1003_); trivial. % 1.22/1.42 (* end of lemma zenon_L1006_ *) % 1.22/1.42 assert (zenon_L1007_ : ((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (c3_1 (a373)) -> (c1_1 (a373)) -> (c0_1 (a373)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H2c3 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_Hc0 zenon_Hbf zenon_Hbe. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.22/1.42 apply (zenon_L63_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.22/1.42 apply (zenon_L47_); trivial. % 1.22/1.42 apply (zenon_L327_); trivial. % 1.22/1.42 (* end of lemma zenon_L1007_ *) % 1.22/1.42 assert (zenon_L1008_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_Hc7 zenon_H2c6 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H42 zenon_H43 zenon_H44 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.42 apply (zenon_L1006_); trivial. % 1.22/1.42 apply (zenon_L1007_); trivial. % 1.22/1.42 (* end of lemma zenon_L1008_ *) % 1.22/1.42 assert (zenon_L1009_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> (~(hskp29)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> False). % 1.22/1.42 do 0 intro. intros zenon_Hcd zenon_H2c6 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H42 zenon_H43 zenon_H44 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H10 zenon_H79 zenon_H7a zenon_H7b zenon_H9d zenon_H30a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.42 apply (zenon_L544_); trivial. % 1.22/1.42 apply (zenon_L1008_); trivial. % 1.22/1.42 (* end of lemma zenon_L1009_ *) % 1.22/1.42 assert (zenon_L1010_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H84 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H30a zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H44 zenon_H43 zenon_H42 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2c6 zenon_Hcd. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.42 apply (zenon_L1009_); trivial. % 1.22/1.42 apply (zenon_L150_); trivial. % 1.22/1.42 (* end of lemma zenon_L1010_ *) % 1.22/1.42 assert (zenon_L1011_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H4d zenon_H87 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H30a zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2c6 zenon_Hcd zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L1010_); trivial. % 1.22/1.42 (* end of lemma zenon_L1011_ *) % 1.22/1.42 assert (zenon_L1012_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H30a zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2c6 zenon_Hcd zenon_H6a zenon_H68 zenon_H66 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_Hb zenon_H82 zenon_H54 zenon_H87. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_L31_); trivial. % 1.22/1.42 apply (zenon_L1011_); trivial. % 1.22/1.42 (* end of lemma zenon_L1012_ *) % 1.22/1.42 assert (zenon_L1013_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H13d zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H76 zenon_H68 zenon_H6a zenon_Hcd zenon_H2c6 zenon_H12c zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H30a zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L1012_); trivial. % 1.22/1.42 apply (zenon_L90_); trivial. % 1.22/1.42 (* end of lemma zenon_L1013_ *) % 1.22/1.42 assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H145 zenon_H52 zenon_H4e zenon_Hb zenon_H4b zenon_H173 zenon_H174 zenon_H175 zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H2d1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_L829_); trivial. % 1.22/1.42 apply (zenon_L17_); trivial. % 1.22/1.42 (* end of lemma zenon_L1014_ *) % 1.22/1.42 assert (zenon_L1015_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H82 zenon_Hb zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H273 zenon_H54 zenon_H87. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L699_); trivial. % 1.22/1.42 apply (zenon_L90_); trivial. % 1.22/1.42 (* end of lemma zenon_L1015_ *) % 1.22/1.42 assert (zenon_L1016_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H54 zenon_H82 zenon_Hb zenon_Hcd zenon_H273 zenon_H68 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H79 zenon_H7a zenon_H7b zenon_H30a zenon_H250 zenon_H153 zenon_H2cb zenon_Hd0. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.42 apply (zenon_L548_); trivial. % 1.22/1.42 apply (zenon_L29_); trivial. % 1.22/1.42 (* end of lemma zenon_L1016_ *) % 1.22/1.42 assert (zenon_L1017_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H153 zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H68 zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.42 apply (zenon_L1016_); trivial. % 1.22/1.42 apply (zenon_L745_); trivial. % 1.22/1.42 (* end of lemma zenon_L1017_ *) % 1.22/1.42 assert (zenon_L1018_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H153 zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L1017_); trivial. % 1.22/1.42 (* end of lemma zenon_L1018_ *) % 1.22/1.42 assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H3 zenon_H3e zenon_H53. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.42 apply (zenon_L509_); trivial. % 1.22/1.42 apply (zenon_L826_); trivial. % 1.22/1.42 (* end of lemma zenon_L1019_ *) % 1.22/1.42 assert (zenon_L1020_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H6a zenon_H68 zenon_H66 zenon_H54 zenon_H82 zenon_Hb zenon_Hcd zenon_H273 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H30a zenon_H2cb zenon_Hd0 zenon_H12d zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.42 apply (zenon_L1018_); trivial. % 1.22/1.42 apply (zenon_L1019_); trivial. % 1.22/1.42 (* end of lemma zenon_L1020_ *) % 1.22/1.42 assert (zenon_L1021_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H13d zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_H68 zenon_H6a zenon_H53 zenon_H3e zenon_H3 zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L1020_); trivial. % 1.22/1.42 apply (zenon_L90_); trivial. % 1.22/1.42 (* end of lemma zenon_L1021_ *) % 1.22/1.42 assert (zenon_L1022_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H19f zenon_H137 zenon_H1c1 zenon_H87 zenon_H54 zenon_H273 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_Hb zenon_H82 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_L1015_); trivial. % 1.22/1.42 apply (zenon_L113_); trivial. % 1.22/1.42 (* end of lemma zenon_L1022_ *) % 1.22/1.42 assert (zenon_L1023_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_H54 zenon_H87 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H3e zenon_H53 zenon_Hcd zenon_H12c zenon_H30a zenon_H2cb zenon_Hd0 zenon_H12d zenon_H1c1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H137. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_L1015_); trivial. % 1.22/1.42 apply (zenon_L1021_); trivial. % 1.22/1.42 apply (zenon_L1022_); trivial. % 1.22/1.42 (* end of lemma zenon_L1023_ *) % 1.22/1.42 assert (zenon_L1024_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp2)) -> (~(hskp19)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H134 zenon_H32f zenon_H327 zenon_H31a zenon_H31b zenon_Hdb zenon_H1d zenon_Hde zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.42 apply (zenon_L571_); trivial. % 1.22/1.42 apply (zenon_L879_); trivial. % 1.22/1.42 (* end of lemma zenon_L1024_ *) % 1.22/1.42 assert (zenon_L1025_ : ((ndr1_0)/\((c3_1 (a361))/\((~(c1_1 (a361)))/\(~(c2_1 (a361)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/((hskp2)\/(hskp19))) -> (~(hskp2)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H315 zenon_H52 zenon_H4e zenon_Hb zenon_H4b zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_Hde zenon_Hdb zenon_H31b zenon_H31a zenon_H327 zenon_H32f zenon_H134. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_L1024_); trivial. % 1.22/1.42 apply (zenon_L17_); trivial. % 1.22/1.42 (* end of lemma zenon_L1025_ *) % 1.22/1.42 assert (zenon_L1026_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_H1 zenon_He2 zenon_H153 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L608_); trivial. % 1.22/1.42 (* end of lemma zenon_L1026_ *) % 1.22/1.42 assert (zenon_L1027_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H171 zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_H66 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.42 apply (zenon_L1026_); trivial. % 1.22/1.42 apply (zenon_L834_); trivial. % 1.22/1.42 (* end of lemma zenon_L1027_ *) % 1.22/1.42 assert (zenon_L1028_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H98 zenon_H301 zenon_H5 zenon_H261 zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H297 zenon_H205 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H171. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L1027_); trivial. % 1.22/1.42 apply (zenon_L979_); trivial. % 1.22/1.42 (* end of lemma zenon_L1028_ *) % 1.22/1.42 assert (zenon_L1029_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H205 zenon_H297 zenon_Hcd. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.42 apply (zenon_L519_); trivial. % 1.22/1.42 apply (zenon_L826_); trivial. % 1.22/1.42 (* end of lemma zenon_L1029_ *) % 1.22/1.42 assert (zenon_L1030_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H94 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H205 zenon_H297 zenon_Hcd zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2e7 zenon_H260. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.42 apply (zenon_L836_); trivial. % 1.22/1.42 apply (zenon_L1029_); trivial. % 1.22/1.42 (* end of lemma zenon_L1030_ *) % 1.22/1.42 assert (zenon_L1031_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H137 zenon_Hb1 zenon_H12c zenon_Hcd zenon_H171 zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_L1028_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L1027_); trivial. % 1.22/1.42 apply (zenon_L1030_); trivial. % 1.22/1.42 (* end of lemma zenon_L1031_ *) % 1.22/1.42 assert (zenon_L1032_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H52 zenon_H9b zenon_H99 zenon_H6a zenon_H68 zenon_H66 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_L568_); trivial. % 1.22/1.42 apply (zenon_L38_); trivial. % 1.22/1.42 (* end of lemma zenon_L1032_ *) % 1.22/1.42 assert (zenon_L1033_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H98 zenon_H5 zenon_H261 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H68 zenon_H6a zenon_H99 zenon_H9b zenon_H52. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L1032_); trivial. % 1.22/1.42 apply (zenon_L343_); trivial. % 1.22/1.42 (* end of lemma zenon_L1033_ *) % 1.22/1.42 assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1b5 zenon_H1b3 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H1c1 zenon_H12c zenon_H1b1 zenon_Hcd zenon_H52 zenon_H9b zenon_H99 zenon_H6a zenon_H68 zenon_H53 zenon_H303 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H261 zenon_H98. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_L1033_); trivial. % 1.22/1.42 apply (zenon_L486_); trivial. % 1.22/1.42 (* end of lemma zenon_L1034_ *) % 1.22/1.42 assert (zenon_L1035_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H135 zenon_H136 zenon_H1e3 zenon_H137 zenon_Hb1 zenon_H12c zenon_Hcd zenon_H171 zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H303 zenon_H99 zenon_H9b zenon_H52 zenon_H1b1 zenon_H1c1 zenon_H1b3 zenon_H1b5 zenon_H148. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.42 apply (zenon_L1031_); trivial. % 1.22/1.42 apply (zenon_L1034_); trivial. % 1.22/1.42 apply (zenon_L146_); trivial. % 1.22/1.42 (* end of lemma zenon_L1035_ *) % 1.22/1.42 assert (zenon_L1036_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H137 zenon_H87 zenon_H16c zenon_H9f zenon_H31a zenon_H31b zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H1 zenon_H2e7 zenon_H68 zenon_H6a zenon_H260 zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H53 zenon_H261 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H327 zenon_H32f zenon_H134 zenon_H171 zenon_H98. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L851_); trivial. % 1.22/1.42 apply (zenon_L979_); trivial. % 1.22/1.42 apply (zenon_L113_); trivial. % 1.22/1.42 (* end of lemma zenon_L1036_ *) % 1.22/1.42 assert (zenon_L1037_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H52 zenon_H9b zenon_H99 zenon_H6a zenon_H68 zenon_H53 zenon_H303 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H261 zenon_H98. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_L1033_); trivial. % 1.22/1.42 apply (zenon_L113_); trivial. % 1.22/1.42 (* end of lemma zenon_L1037_ *) % 1.22/1.42 assert (zenon_L1038_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H52 zenon_H9b zenon_H99 zenon_H303 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H98 zenon_H301 zenon_H261 zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H297 zenon_H205 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H171 zenon_Hcd zenon_H12c zenon_Hb1 zenon_H137. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.42 apply (zenon_L1031_); trivial. % 1.22/1.42 apply (zenon_L1037_); trivial. % 1.22/1.42 (* end of lemma zenon_L1038_ *) % 1.22/1.42 assert (zenon_L1039_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.42 apply (zenon_L571_); trivial. % 1.22/1.42 apply (zenon_L826_); trivial. % 1.22/1.42 (* end of lemma zenon_L1039_ *) % 1.22/1.42 assert (zenon_L1040_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_H66 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.42 apply (zenon_L605_); trivial. % 1.22/1.42 apply (zenon_L656_); trivial. % 1.22/1.42 apply (zenon_L1039_); trivial. % 1.22/1.42 (* end of lemma zenon_L1040_ *) % 1.22/1.42 assert (zenon_L1041_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H98 zenon_H301 zenon_H5 zenon_H261 zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L1040_); trivial. % 1.22/1.42 apply (zenon_L979_); trivial. % 1.22/1.42 (* end of lemma zenon_L1041_ *) % 1.22/1.42 assert (zenon_L1042_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H137 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_L1041_); trivial. % 1.22/1.42 apply (zenon_L577_); trivial. % 1.22/1.42 (* end of lemma zenon_L1042_ *) % 1.22/1.42 assert (zenon_L1043_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H23 zenon_H1d zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.42 apply (zenon_L564_); trivial. % 1.22/1.42 apply (zenon_L656_); trivial. % 1.22/1.42 (* end of lemma zenon_L1043_ *) % 1.22/1.42 assert (zenon_L1044_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1b5 zenon_H1b3 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H1c1 zenon_H12c zenon_H1b1 zenon_Hcd zenon_H52 zenon_H9b zenon_H99 zenon_H6a zenon_H68 zenon_H53 zenon_H303 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H261 zenon_H98. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.42 apply (zenon_L1043_); trivial. % 1.22/1.42 apply (zenon_L38_); trivial. % 1.22/1.42 apply (zenon_L343_); trivial. % 1.22/1.42 apply (zenon_L486_); trivial. % 1.22/1.42 (* end of lemma zenon_L1044_ *) % 1.22/1.42 assert (zenon_L1045_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H19f zenon_H137 zenon_H87 zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H68 zenon_H6a zenon_H53 zenon_H261 zenon_H23 zenon_H99 zenon_H9b zenon_H52 zenon_H98. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L581_); trivial. % 1.22/1.42 apply (zenon_L343_); trivial. % 1.22/1.42 apply (zenon_L113_); trivial. % 1.22/1.42 (* end of lemma zenon_L1045_ *) % 1.22/1.42 assert (zenon_L1046_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H137 zenon_H87 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H6a zenon_H261 zenon_H98 zenon_H53 zenon_H3e zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H99 zenon_H68 zenon_H9b zenon_H52. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.42 apply (zenon_L288_); trivial. % 1.22/1.42 apply (zenon_L1045_); trivial. % 1.22/1.42 (* end of lemma zenon_L1046_ *) % 1.22/1.42 assert (zenon_L1047_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_Hdd zenon_Hd0 zenon_H21a zenon_Hdb zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cf zenon_H1ce zenon_H1cc zenon_H44 zenon_H43 zenon_H42 zenon_H205 zenon_H318 zenon_H2c6. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.22/1.42 apply (zenon_L15_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.22/1.42 apply (zenon_L189_); trivial. % 1.22/1.42 apply (zenon_L1003_); trivial. % 1.22/1.42 apply (zenon_L710_); trivial. % 1.22/1.42 apply (zenon_L150_); trivial. % 1.22/1.42 (* end of lemma zenon_L1047_ *) % 1.22/1.42 assert (zenon_L1048_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H172 zenon_H1ce zenon_H1cf zenon_H160 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H327 zenon_H31a zenon_H10 zenon_H2b8. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.22/1.42 apply (zenon_L15_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.22/1.42 apply (zenon_L155_); trivial. % 1.22/1.42 apply (zenon_L1003_); trivial. % 1.22/1.42 (* end of lemma zenon_L1048_ *) % 1.22/1.42 assert (zenon_L1049_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp31)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp3)) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H232 zenon_H2b8 zenon_H31a zenon_H327 zenon_H2c7 zenon_H160 zenon_H14b zenon_H14c zenon_H14a zenon_H4b zenon_H42 zenon_H43 zenon_H44 zenon_H227 zenon_H12d zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H20 zenon_H21 zenon_H22 zenon_H1c1 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.42 apply (zenon_L15_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.42 apply (zenon_L1048_); trivial. % 1.22/1.42 apply (zenon_L484_); trivial. % 1.22/1.42 (* end of lemma zenon_L1049_ *) % 1.22/1.42 assert (zenon_L1050_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a358)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp23)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_Hd0 zenon_H21a zenon_Hdb zenon_H232 zenon_H1c1 zenon_H1d0 zenon_H22 zenon_H21 zenon_H20 zenon_Haf zenon_H12d zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cf zenon_H1ce zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H10 zenon_H205 zenon_H318 zenon_H2c6. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.42 apply (zenon_L1049_); trivial. % 1.22/1.42 apply (zenon_L710_); trivial. % 1.22/1.42 apply (zenon_L150_); trivial. % 1.22/1.42 (* end of lemma zenon_L1050_ *) % 1.22/1.42 assert (zenon_L1051_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H13d zenon_H52 zenon_H134 zenon_H1cc zenon_H2c6 zenon_H318 zenon_H205 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H12d zenon_H1c1 zenon_H232 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L1050_); trivial. % 1.22/1.43 apply (zenon_L1047_); trivial. % 1.22/1.43 (* end of lemma zenon_L1051_ *) % 1.22/1.43 assert (zenon_L1052_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp23)) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp10)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a353)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H2d1 zenon_H4b zenon_H297 zenon_Haf zenon_H6d zenon_H6f zenon_H6e zenon_H12d zenon_H205 zenon_H1ce zenon_H1cf zenon_H160 zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H31a zenon_Hd1 zenon_H31b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.43 apply (zenon_L840_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.43 apply (zenon_L19_); trivial. % 1.22/1.43 apply (zenon_L808_); trivial. % 1.22/1.43 (* end of lemma zenon_L1052_ *) % 1.22/1.43 assert (zenon_L1053_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H52 zenon_H2c6 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H10c zenon_H5 zenon_H6f zenon_H6e zenon_H6d zenon_H232 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.43 apply (zenon_L15_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.43 apply (zenon_L1048_); trivial. % 1.22/1.43 apply (zenon_L180_); trivial. % 1.22/1.43 apply (zenon_L328_); trivial. % 1.22/1.43 (* end of lemma zenon_L1053_ *) % 1.22/1.43 assert (zenon_L1054_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_Hc7 zenon_H2c6 zenon_H12c zenon_H42 zenon_H43 zenon_H44 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H1ce zenon_H1cf zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H12d zenon_Haf zenon_H20 zenon_H21 zenon_H22 zenon_H1d0 zenon_H1c1 zenon_H232. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.43 apply (zenon_L1049_); trivial. % 1.22/1.43 apply (zenon_L1007_); trivial. % 1.22/1.43 (* end of lemma zenon_L1054_ *) % 1.22/1.43 assert (zenon_L1055_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.43 do 0 intro. intros zenon_Hcd zenon_H2c6 zenon_H12c zenon_H42 zenon_H43 zenon_H44 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H1ce zenon_H1cf zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H1d0 zenon_H1c1 zenon_H232 zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.43 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.43 apply (zenon_L45_); trivial. % 1.22/1.43 apply (zenon_L1054_); trivial. % 1.22/1.43 (* end of lemma zenon_L1055_ *) % 1.22/1.43 assert (zenon_L1056_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H19f zenon_H136 zenon_H137 zenon_H1b5 zenon_H1b3 zenon_Hb1 zenon_H1c1 zenon_H12c zenon_Hcd zenon_H1e3 zenon_H232 zenon_H10c zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H76 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H212 zenon_H53 zenon_H54 zenon_H1cc zenon_H12d zenon_H31a zenon_H31b zenon_H205 zenon_H297 zenon_H2d1 zenon_H227 zenon_H2c6 zenon_H318 zenon_H2c7 zenon_H327 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H134 zenon_H148. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.43 apply (zenon_L168_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L165_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.43 apply (zenon_L171_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.43 apply (zenon_L76_); trivial. % 1.22/1.43 apply (zenon_L1052_); trivial. % 1.22/1.43 apply (zenon_L1047_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_L1053_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L1055_); trivial. % 1.22/1.43 apply (zenon_L219_); trivial. % 1.22/1.43 (* end of lemma zenon_L1056_ *) % 1.22/1.43 assert (zenon_L1057_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H4d zenon_H1cc zenon_H4b zenon_H59 zenon_H5a zenon_H5b zenon_H1ce zenon_H1cf zenon_H160 zenon_H227 zenon_H14c zenon_H14b zenon_H14a zenon_H16c zenon_H20b zenon_H20a zenon_H209 zenon_H31b zenon_H31a zenon_H9f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.43 apply (zenon_L171_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.43 apply (zenon_L76_); trivial. % 1.22/1.43 apply (zenon_L877_); trivial. % 1.22/1.43 (* end of lemma zenon_L1057_ *) % 1.22/1.43 assert (zenon_L1058_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H145 zenon_H52 zenon_H1cc zenon_H209 zenon_H20a zenon_H20b zenon_H31a zenon_H31b zenon_H9f zenon_H16c zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3 zenon_H3e zenon_H53. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L202_); trivial. % 1.22/1.43 apply (zenon_L1057_); trivial. % 1.22/1.43 (* end of lemma zenon_L1058_ *) % 1.22/1.43 assert (zenon_L1059_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H4d zenon_H2c6 zenon_H10c zenon_H5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.43 apply (zenon_L1006_); trivial. % 1.22/1.43 apply (zenon_L328_); trivial. % 1.22/1.43 (* end of lemma zenon_L1059_ *) % 1.22/1.43 assert (zenon_L1060_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H52 zenon_H2c6 zenon_H10c zenon_H5 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_L1059_); trivial. % 1.22/1.43 (* end of lemma zenon_L1060_ *) % 1.22/1.43 assert (zenon_L1061_ : ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H155 zenon_Hd4 zenon_Hd3 zenon_Hbd zenon_H14c zenon_H14b zenon_H14a zenon_H10 zenon_H153. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H120 | zenon_intro zenon_H156 ]. % 1.22/1.43 apply (zenon_L186_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H149 | zenon_intro zenon_H154 ]. % 1.22/1.43 apply (zenon_L76_); trivial. % 1.22/1.43 exact (zenon_H153 zenon_H154). % 1.22/1.43 (* end of lemma zenon_L1061_ *) % 1.22/1.43 assert (zenon_L1062_ : ((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp20)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H2c3 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H153 zenon_H14a zenon_H14b zenon_H14c zenon_Hd3 zenon_Hd4 zenon_H155. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10e | zenon_intro zenon_H12f ]. % 1.22/1.43 apply (zenon_L63_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H102 ]. % 1.22/1.43 apply (zenon_L1061_); trivial. % 1.22/1.43 apply (zenon_L327_); trivial. % 1.22/1.43 (* end of lemma zenon_L1062_ *) % 1.22/1.43 assert (zenon_L1063_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(hskp20)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_Hdd zenon_H2c6 zenon_H12c zenon_H14a zenon_H14b zenon_H14c zenon_H153 zenon_H155 zenon_H22 zenon_H21 zenon_H20 zenon_H42 zenon_H43 zenon_H44 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.43 apply (zenon_L1006_); trivial. % 1.22/1.43 apply (zenon_L1062_); trivial. % 1.22/1.43 (* end of lemma zenon_L1063_ *) % 1.22/1.43 assert (zenon_L1064_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H145 zenon_H52 zenon_H1cc zenon_H209 zenon_H20a zenon_H20b zenon_H31a zenon_H31b zenon_H9f zenon_H16c zenon_H227 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_He2 zenon_H212 zenon_H53 zenon_H54. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L165_); trivial. % 1.22/1.43 apply (zenon_L1057_); trivial. % 1.22/1.43 (* end of lemma zenon_L1064_ *) % 1.22/1.43 assert (zenon_L1065_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H4d zenon_H171 zenon_H16c zenon_H9f zenon_Hcd zenon_H2c6 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H134. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.43 apply (zenon_L45_); trivial. % 1.22/1.43 apply (zenon_L1008_); trivial. % 1.22/1.43 apply (zenon_L1063_); trivial. % 1.22/1.43 apply (zenon_L277_); trivial. % 1.22/1.43 (* end of lemma zenon_L1065_ *) % 1.22/1.43 assert (zenon_L1066_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H214 zenon_H19d zenon_H76 zenon_H54 zenon_H212 zenon_Hb1 zenon_Hcd zenon_H136 zenon_H137 zenon_H171 zenon_H32f zenon_H301 zenon_H1b5 zenon_H1b3 zenon_H1c1 zenon_H12d zenon_H155 zenon_H12c zenon_H134 zenon_H1e3 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H327 zenon_H2c7 zenon_H10c zenon_H2c6 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H227 zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H16c zenon_H31b zenon_H31a zenon_H1cc zenon_H148 zenon_H140. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.43 apply (zenon_L229_); trivial. % 1.22/1.43 apply (zenon_L1058_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_L1060_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.43 apply (zenon_L484_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.43 apply (zenon_L877_); trivial. % 1.22/1.43 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.43 apply (zenon_L1063_); trivial. % 1.22/1.43 apply (zenon_L1019_); trivial. % 1.22/1.43 apply (zenon_L517_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.43 apply (zenon_L221_); trivial. % 1.22/1.43 apply (zenon_L1064_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_L1060_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_L1065_); trivial. % 1.22/1.43 apply (zenon_L209_); trivial. % 1.22/1.43 (* end of lemma zenon_L1066_ *) % 1.22/1.43 assert (zenon_L1067_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp23)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1))))) -> (~(hskp3)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H160 zenon_Haf zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H5 zenon_H12d zenon_H14b zenon_H14c zenon_H14a zenon_H10 zenon_H157 zenon_H4b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L726_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.22/1.43 apply (zenon_L79_); trivial. % 1.22/1.43 exact (zenon_H4b zenon_H4c). % 1.22/1.43 (* end of lemma zenon_L1067_ *) % 1.22/1.43 assert (zenon_L1068_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp16)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp23)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H227 zenon_H44 zenon_H43 zenon_H42 zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H12d zenon_H5 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_Haf zenon_H160 zenon_H2c7 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H327 zenon_H31a zenon_H10 zenon_H2b8. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H41 | zenon_intro zenon_H228 ]. % 1.22/1.43 apply (zenon_L15_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H157 | zenon_intro zenon_H224 ]. % 1.22/1.43 apply (zenon_L1067_); trivial. % 1.22/1.43 apply (zenon_L1003_); trivial. % 1.22/1.43 (* end of lemma zenon_L1068_ *) % 1.22/1.43 assert (zenon_L1069_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_Hd0 zenon_H21a zenon_Hdb zenon_H227 zenon_H31a zenon_H327 zenon_H2c7 zenon_H12d zenon_Haf zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H44 zenon_H43 zenon_H42 zenon_H10 zenon_H205 zenon_H318 zenon_H2c6. % 1.22/1.43 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.43 apply (zenon_L1068_); trivial. % 1.22/1.43 apply (zenon_L710_); trivial. % 1.22/1.43 apply (zenon_L150_); trivial. % 1.22/1.43 (* end of lemma zenon_L1069_ *) % 1.22/1.43 assert (zenon_L1070_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H4d zenon_H134 zenon_H5b zenon_H5a zenon_H59 zenon_H1cf zenon_H1ce zenon_H1cc zenon_H2c6 zenon_H318 zenon_H205 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H2c7 zenon_H327 zenon_H31a zenon_H227 zenon_Hdb zenon_H21a zenon_Hd0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L1069_); trivial. % 1.22/1.43 apply (zenon_L511_); trivial. % 1.22/1.43 (* end of lemma zenon_L1070_ *) % 1.22/1.43 assert (zenon_L1071_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H13d zenon_H134 zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H1ce zenon_H1cf zenon_H59 zenon_H5a zenon_H5b zenon_H3 zenon_H62 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L532_); trivial. % 1.22/1.43 apply (zenon_L506_); trivial. % 1.22/1.43 (* end of lemma zenon_L1071_ *) % 1.22/1.43 assert (zenon_L1072_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (ndr1_0) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp23)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H2c6 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H10 zenon_H42 zenon_H43 zenon_H44 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_Haf zenon_H12d zenon_H2c7 zenon_H327 zenon_H31a zenon_H227. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.43 apply (zenon_L1068_); trivial. % 1.22/1.43 apply (zenon_L328_); trivial. % 1.22/1.43 (* end of lemma zenon_L1072_ *) % 1.22/1.43 assert (zenon_L1073_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H4d zenon_H134 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H1cf zenon_H1ce zenon_H1cc zenon_H205 zenon_H318 zenon_H227 zenon_H31a zenon_H327 zenon_H2c7 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2c6. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L1072_); trivial. % 1.22/1.43 apply (zenon_L1047_); trivial. % 1.22/1.43 (* end of lemma zenon_L1073_ *) % 1.22/1.43 assert (zenon_L1074_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H13d zenon_H52 zenon_H134 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H227 zenon_H31a zenon_H327 zenon_H2c7 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cc zenon_H205 zenon_H318 zenon_H2c6 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L532_); trivial. % 1.22/1.43 apply (zenon_L1047_); trivial. % 1.22/1.43 (* end of lemma zenon_L1074_ *) % 1.22/1.43 assert (zenon_L1075_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H136 zenon_H1e3 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53 zenon_H134 zenon_H1cc zenon_H2c6 zenon_H318 zenon_H205 zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H2c7 zenon_H327 zenon_H31a zenon_H227 zenon_H1c1 zenon_H62 zenon_H137 zenon_H148. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.43 apply (zenon_L229_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L202_); trivial. % 1.22/1.43 apply (zenon_L1070_); trivial. % 1.22/1.43 apply (zenon_L1071_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L202_); trivial. % 1.22/1.43 apply (zenon_L1073_); trivial. % 1.22/1.43 apply (zenon_L1074_); trivial. % 1.22/1.43 (* end of lemma zenon_L1075_ *) % 1.22/1.43 assert (zenon_L1076_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H148 zenon_H227 zenon_H160 zenon_H4b zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H20b zenon_H20a zenon_H209 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_He2 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.43 apply (zenon_L229_); trivial. % 1.22/1.43 apply (zenon_L245_); trivial. % 1.22/1.43 (* end of lemma zenon_L1076_ *) % 1.22/1.43 assert (zenon_L1077_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H52 zenon_H2c6 zenon_H10c zenon_H5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L202_); trivial. % 1.22/1.43 apply (zenon_L1059_); trivial. % 1.22/1.43 (* end of lemma zenon_L1077_ *) % 1.22/1.43 assert (zenon_L1078_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H148 zenon_H227 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H76 zenon_H6f zenon_H6e zenon_H6d zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.43 apply (zenon_L221_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L165_); trivial. % 1.22/1.43 apply (zenon_L243_); trivial. % 1.22/1.43 (* end of lemma zenon_L1078_ *) % 1.22/1.43 assert (zenon_L1079_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H214 zenon_H19d zenon_H212 zenon_H54 zenon_H76 zenon_H148 zenon_H227 zenon_H160 zenon_H4b zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H53 zenon_H3e zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52 zenon_H2c6 zenon_H10c zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1e3 zenon_H134 zenon_H12c zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H1c1 zenon_H12d zenon_H301 zenon_H31b zenon_H32f zenon_H171 zenon_H137 zenon_H136. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.43 apply (zenon_L1076_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_L1077_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L532_); trivial. % 1.22/1.43 apply (zenon_L1063_); trivial. % 1.22/1.43 apply (zenon_L1019_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.43 apply (zenon_L1078_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_L1060_); trivial. % 1.22/1.43 apply (zenon_L113_); trivial. % 1.22/1.43 (* end of lemma zenon_L1079_ *) % 1.22/1.43 assert (zenon_L1080_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H232 zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H205 zenon_H318 zenon_H2c6 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L202_); trivial. % 1.22/1.43 apply (zenon_L1004_); trivial. % 1.22/1.43 (* end of lemma zenon_L1080_ *) % 1.22/1.43 assert (zenon_L1081_ : ((ndr1_0)/\((c0_1 (a380))/\((c1_1 (a380))/\(~(c3_1 (a380)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp26)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H142 zenon_H52 zenon_H21a zenon_Hdb zenon_H232 zenon_H327 zenon_H31a zenon_H227 zenon_H53 zenon_H1e3 zenon_H1e2 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2c6 zenon_H318 zenon_H205 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H2c7 zenon_H212 zenon_He2 zenon_H175 zenon_H174 zenon_H173 zenon_H2cd zenon_H2cf zenon_Hd0 zenon_H204. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L760_); trivial. % 1.22/1.43 apply (zenon_L1004_); trivial. % 1.22/1.43 (* end of lemma zenon_L1081_ *) % 1.22/1.43 assert (zenon_L1082_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H13a zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H232 zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H205 zenon_H318 zenon_H2c6 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1e3 zenon_H53. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_L1004_); trivial. % 1.22/1.43 (* end of lemma zenon_L1082_ *) % 1.22/1.43 assert (zenon_L1083_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H10 zenon_H2ee zenon_H2f0 zenon_H22c zenon_H1c1 zenon_H9 zenon_H68. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.22/1.43 apply (zenon_L498_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.22/1.43 exact (zenon_H9 zenon_Ha). % 1.22/1.43 exact (zenon_H68 zenon_H69). % 1.22/1.43 (* end of lemma zenon_L1083_ *) % 1.22/1.43 assert (zenon_L1084_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H68 zenon_H9 zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H273 zenon_H162 zenon_H10 zenon_H31a zenon_H31b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.22/1.43 apply (zenon_L28_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.22/1.43 apply (zenon_L1083_); trivial. % 1.22/1.43 apply (zenon_L808_); trivial. % 1.22/1.43 (* end of lemma zenon_L1084_ *) % 1.22/1.43 assert (zenon_L1085_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59 zenon_H2a1 zenon_H7b zenon_H7a zenon_H79 zenon_H68 zenon_H9 zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H273 zenon_H10 zenon_H31a zenon_H31b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.43 apply (zenon_L88_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.43 apply (zenon_L19_); trivial. % 1.22/1.43 apply (zenon_L1084_); trivial. % 1.22/1.43 (* end of lemma zenon_L1085_ *) % 1.22/1.43 assert (zenon_L1086_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> (~(hskp6)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1b5 zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H9 zenon_H68 zenon_H79 zenon_H7a zenon_H7b zenon_H2a1 zenon_H59 zenon_H5a zenon_H5b zenon_H173 zenon_H174 zenon_H175 zenon_H2d1 zenon_H31b zenon_H31a zenon_H10 zenon_H1b3. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.43 apply (zenon_L88_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.43 apply (zenon_L19_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.43 apply (zenon_L1085_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.43 apply (zenon_L808_); trivial. % 1.22/1.43 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.43 (* end of lemma zenon_L1086_ *) % 1.22/1.43 assert (zenon_L1087_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H148 zenon_H98 zenon_H17e zenon_H17c zenon_H6a zenon_H68 zenon_H2d1 zenon_H273 zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H31a zenon_H31b zenon_H2a1 zenon_H1b3 zenon_H1b5 zenon_H175 zenon_H174 zenon_H173 zenon_H160 zenon_H4b zenon_H227 zenon_H54 zenon_H87 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H234 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.43 apply (zenon_L221_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L143_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.43 apply (zenon_L25_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.43 apply (zenon_L1086_); trivial. % 1.22/1.43 apply (zenon_L224_); trivial. % 1.22/1.43 apply (zenon_L90_); trivial. % 1.22/1.43 (* end of lemma zenon_L1087_ *) % 1.22/1.43 assert (zenon_L1088_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c0_1 (a355)) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H214 zenon_H136 zenon_H137 zenon_Hcd zenon_H12c zenon_H30a zenon_H1e3 zenon_H2fa zenon_H327 zenon_H2c7 zenon_H10c zenon_H2c6 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H212 zenon_H53 zenon_H87 zenon_H54 zenon_H227 zenon_H4b zenon_H160 zenon_H173 zenon_H174 zenon_H175 zenon_H1b5 zenon_H1b3 zenon_H2a1 zenon_H31b zenon_H31a zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H273 zenon_H2d1 zenon_H68 zenon_H6a zenon_H17c zenon_H17e zenon_H98 zenon_H148. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.43 apply (zenon_L1087_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.43 apply (zenon_L1060_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L145_); trivial. % 1.22/1.43 apply (zenon_L1011_); trivial. % 1.22/1.43 apply (zenon_L90_); trivial. % 1.22/1.43 (* end of lemma zenon_L1088_ *) % 1.22/1.43 assert (zenon_L1089_ : ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a364)) -> (~(c0_1 (a364))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a364))) -> (c3_1 (a355)) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1c1 zenon_H2d8 zenon_H2d6 zenon_H192 zenon_H2d7 zenon_H2f0 zenon_H111 zenon_H2ee zenon_H10 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10e | zenon_intro zenon_H1c2 ]. % 1.22/1.43 apply (zenon_L399_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 1.22/1.43 apply (zenon_L472_); trivial. % 1.22/1.43 apply (zenon_L173_); trivial. % 1.22/1.43 (* end of lemma zenon_L1089_ *) % 1.22/1.43 assert (zenon_L1090_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp16)) -> (c1_1 (a365)) -> (c2_1 (a365)) -> (c3_1 (a365)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (c2_1 (a364)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp23)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H207 zenon_H5 zenon_H34 zenon_H35 zenon_H36 zenon_H12d zenon_H1a2 zenon_H2ee zenon_H2f0 zenon_H2d7 zenon_H2d6 zenon_H2d8 zenon_H1c1 zenon_H6e zenon_H6f zenon_H6d zenon_Haf zenon_H293 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H205. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H192 | zenon_intro zenon_H208 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H111 | zenon_intro zenon_H12e ]. % 1.22/1.43 apply (zenon_L1089_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb0 ]. % 1.22/1.43 apply (zenon_L66_); trivial. % 1.22/1.43 exact (zenon_Haf zenon_Hb0). % 1.22/1.43 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.22/1.43 apply (zenon_L13_); trivial. % 1.22/1.43 exact (zenon_H5 zenon_H6). % 1.22/1.43 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H27 | zenon_intro zenon_H206 ]. % 1.22/1.43 apply (zenon_L125_); trivial. % 1.22/1.43 exact (zenon_H205 zenon_H206). % 1.22/1.43 (* end of lemma zenon_L1090_ *) % 1.22/1.43 assert (zenon_L1091_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12)))))) -> (c1_1 (a353)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H16c zenon_H7a zenon_H79 zenon_H88 zenon_H31b zenon_Hd1 zenon_H31a zenon_H10 zenon_H9f. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.43 apply (zenon_L303_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.43 apply (zenon_L808_); trivial. % 1.22/1.43 exact (zenon_H9f zenon_Ha0). % 1.22/1.43 (* end of lemma zenon_L1091_ *) % 1.22/1.43 assert (zenon_L1092_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp10)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp23)) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a364)) -> (~(c0_1 (a364))) -> (~(c1_1 (a364))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (~(hskp8)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1b5 zenon_H205 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H293 zenon_Haf zenon_H6d zenon_H6f zenon_H6e zenon_H1c1 zenon_H2d8 zenon_H2d6 zenon_H2d7 zenon_H2f0 zenon_H2ee zenon_H12d zenon_H36 zenon_H35 zenon_H34 zenon_H5 zenon_H207 zenon_H31b zenon_H31a zenon_H10 zenon_H162 zenon_H1b3. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.43 apply (zenon_L1090_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.43 apply (zenon_L808_); trivial. % 1.22/1.43 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.43 (* end of lemma zenon_L1092_ *) % 1.22/1.43 assert (zenon_L1093_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (c2_1 (a364)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> (~(c0_1 (a397))) -> (c1_1 (a397)) -> (c2_1 (a397)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H53 zenon_H2d1 zenon_H207 zenon_H2d7 zenon_H2d6 zenon_H2d8 zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H5 zenon_H293 zenon_H1b3 zenon_H1b5 zenon_H79 zenon_H7a zenon_H7b zenon_H254 zenon_H255 zenon_H256 zenon_H160 zenon_H4b zenon_H12d zenon_Haf zenon_H6e zenon_H6f zenon_H6d zenon_H5b zenon_H5a zenon_H59 zenon_H31a zenon_H31b zenon_H205 zenon_H297 zenon_H2a1 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.43 apply (zenon_L126_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.43 apply (zenon_L841_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.43 apply (zenon_L19_); trivial. % 1.22/1.43 apply (zenon_L1092_); trivial. % 1.22/1.43 (* end of lemma zenon_L1093_ *) % 1.22/1.43 assert (zenon_L1094_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a395))) -> (~(c2_1 (a395))) -> (c1_1 (a395)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp8)) -> False). % 1.22/1.43 do 0 intro. intros zenon_Hdd zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H5b zenon_H5a zenon_H59 zenon_H1b5 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H79 zenon_H7a zenon_H7b zenon_H2a1 zenon_H31b zenon_H31a zenon_H1b3. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.43 apply (zenon_L88_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.43 apply (zenon_L19_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.43 apply (zenon_L492_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.43 apply (zenon_L808_); trivial. % 1.22/1.43 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.43 (* end of lemma zenon_L1094_ *) % 1.22/1.43 assert (zenon_L1095_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H94 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H232 zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H205 zenon_H318 zenon_H2c6 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H5 zenon_H261 zenon_H53. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.43 apply (zenon_L212_); trivial. % 1.22/1.43 apply (zenon_L1004_); trivial. % 1.22/1.43 (* end of lemma zenon_L1095_ *) % 1.22/1.43 assert (zenon_L1096_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H16e zenon_H87 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.43 apply (zenon_L25_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.43 apply (zenon_L491_); trivial. % 1.22/1.43 apply (zenon_L826_); trivial. % 1.22/1.43 (* end of lemma zenon_L1096_ *) % 1.22/1.43 assert (zenon_L1097_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H1b1 zenon_H1b3 zenon_H1b5 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.43 apply (zenon_L1026_); trivial. % 1.22/1.43 apply (zenon_L1096_); trivial. % 1.22/1.43 apply (zenon_L90_); trivial. % 1.22/1.43 (* end of lemma zenon_L1097_ *) % 1.22/1.43 assert (zenon_L1098_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H87 zenon_H134 zenon_H2d1 zenon_H31a zenon_H31b zenon_H5b zenon_H5a zenon_H59 zenon_H175 zenon_H174 zenon_H173 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.44 apply (zenon_L25_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.44 apply (zenon_L491_); trivial. % 1.22/1.44 apply (zenon_L1094_); trivial. % 1.22/1.44 (* end of lemma zenon_L1098_ *) % 1.22/1.44 assert (zenon_L1099_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H148 zenon_H2d1 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H1b1 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H234 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L1097_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L1098_); trivial. % 1.22/1.44 apply (zenon_L90_); trivial. % 1.22/1.44 (* end of lemma zenon_L1099_ *) % 1.22/1.44 assert (zenon_L1100_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H135 zenon_H136 zenon_H52 zenon_H21a zenon_Hdb zenon_H232 zenon_H2c7 zenon_H227 zenon_H205 zenon_H318 zenon_H2c6 zenon_H23 zenon_H1e3 zenon_H53 zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H2a1 zenon_H234 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H1b1 zenon_H1b3 zenon_H1b5 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H2d1 zenon_H148. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_L1099_); trivial. % 1.22/1.44 apply (zenon_L1082_); trivial. % 1.22/1.44 (* end of lemma zenon_L1100_ *) % 1.22/1.44 assert (zenon_L1101_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c0_1 (a369)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H148 zenon_H2d1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H227 zenon_H112 zenon_H232 zenon_H52 zenon_H98 zenon_H301 zenon_H261 zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H297 zenon_H205 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6f zenon_H6e zenon_H171 zenon_Hcd zenon_H12c zenon_Hb1 zenon_H137. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L1031_); trivial. % 1.22/1.44 apply (zenon_L857_); trivial. % 1.22/1.44 (* end of lemma zenon_L1101_ *) % 1.22/1.44 assert (zenon_L1102_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H135 zenon_H136 zenon_H21a zenon_Hdb zenon_H2c7 zenon_H318 zenon_H2c6 zenon_H1e3 zenon_H137 zenon_Hb1 zenon_H12c zenon_Hcd zenon_H171 zenon_H6e zenon_H6f zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98 zenon_H52 zenon_H232 zenon_H227 zenon_H23 zenon_H173 zenon_H174 zenon_H175 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2d1 zenon_H148. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_L1101_); trivial. % 1.22/1.44 apply (zenon_L1082_); trivial. % 1.22/1.44 (* end of lemma zenon_L1102_ *) % 1.22/1.44 assert (zenon_L1103_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (~(hskp22)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_Hd0 zenon_H2cb zenon_H153 zenon_H250 zenon_H30a zenon_H7b zenon_H7a zenon_H79 zenon_H10 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H44 zenon_H43 zenon_H42 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2c6 zenon_Hcd. % 1.22/1.44 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.44 apply (zenon_L1009_); trivial. % 1.22/1.44 apply (zenon_L384_); trivial. % 1.22/1.44 (* end of lemma zenon_L1103_ *) % 1.22/1.44 assert (zenon_L1104_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hcd zenon_H2c6 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H42 zenon_H43 zenon_H44 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H30a zenon_H153 zenon_H2cb zenon_Hd0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.44 apply (zenon_L1103_); trivial. % 1.22/1.44 apply (zenon_L745_); trivial. % 1.22/1.44 (* end of lemma zenon_L1104_ *) % 1.22/1.44 assert (zenon_L1105_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hcd zenon_H2c6 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H42 zenon_H43 zenon_H44 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H30a zenon_H153 zenon_H2cb zenon_Hd0 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.44 apply (zenon_L25_); trivial. % 1.22/1.44 apply (zenon_L1104_); trivial. % 1.22/1.44 (* end of lemma zenon_L1105_ *) % 1.22/1.44 assert (zenon_L1106_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H4d zenon_H171 zenon_H16c zenon_H9f zenon_H6a zenon_H68 zenon_H66 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2c6 zenon_Hcd zenon_H12d zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.44 apply (zenon_L1105_); trivial. % 1.22/1.44 apply (zenon_L277_); trivial. % 1.22/1.44 (* end of lemma zenon_L1106_ *) % 1.22/1.44 assert (zenon_L1107_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H52 zenon_H171 zenon_H16c zenon_H9f zenon_H6a zenon_H68 zenon_H66 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2c6 zenon_Hcd zenon_H12d zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.44 apply (zenon_L202_); trivial. % 1.22/1.44 apply (zenon_L1106_); trivial. % 1.22/1.44 (* end of lemma zenon_L1107_ *) % 1.22/1.44 assert (zenon_L1108_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H145 zenon_H137 zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H53 zenon_H3e zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H12d zenon_Hcd zenon_H2c6 zenon_H12c zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H227 zenon_H30a zenon_H2cb zenon_Hd0 zenon_H6a zenon_H9f zenon_H16c zenon_H171 zenon_H52 zenon_H62 zenon_H3 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H68 zenon_H273 zenon_H54. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_L562_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L1107_); trivial. % 1.22/1.44 apply (zenon_L90_); trivial. % 1.22/1.44 (* end of lemma zenon_L1108_ *) % 1.22/1.44 assert (zenon_L1109_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H13d zenon_H98 zenon_H232 zenon_H132 zenon_H1 zenon_H2e7 zenon_H175 zenon_H174 zenon_H173 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1e3 zenon_H53 zenon_H3e zenon_H3 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hcd zenon_H2c6 zenon_H12c zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H30a zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H9f zenon_H16c zenon_H171 zenon_H52. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L1107_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.44 apply (zenon_L145_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.44 apply (zenon_L532_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.44 apply (zenon_L1006_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.44 apply (zenon_L15_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.44 apply (zenon_L88_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H88 | zenon_intro zenon_H2e8 ]. % 1.22/1.44 apply (zenon_L33_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H22c | zenon_intro zenon_H2 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.22/1.44 apply (zenon_L336_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.22/1.44 apply (zenon_L498_); trivial. % 1.22/1.44 apply (zenon_L457_); trivial. % 1.22/1.44 exact (zenon_H1 zenon_H2). % 1.22/1.44 (* end of lemma zenon_L1109_ *) % 1.22/1.44 assert (zenon_L1110_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H137 zenon_H98 zenon_H232 zenon_H132 zenon_H1 zenon_H2e7 zenon_H175 zenon_H174 zenon_H173 zenon_H1e3 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hcd zenon_H12c zenon_H30a zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H9f zenon_H16c zenon_H171 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10c zenon_H2c6 zenon_H52. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_L1077_); trivial. % 1.22/1.44 apply (zenon_L1109_); trivial. % 1.22/1.44 (* end of lemma zenon_L1110_ *) % 1.22/1.44 assert (zenon_L1111_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (c1_1 (a353)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H214 zenon_H19d zenon_H212 zenon_H31b zenon_H160 zenon_H4b zenon_H261 zenon_H2d1 zenon_H136 zenon_H1e3 zenon_H2e7 zenon_H132 zenon_H232 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H54 zenon_H273 zenon_H68 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H62 zenon_H171 zenon_H16c zenon_H6a zenon_H2cb zenon_H30a zenon_H227 zenon_H31a zenon_H327 zenon_H2c7 zenon_H12c zenon_H2c6 zenon_Hcd zenon_H12d zenon_H1c1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98 zenon_H137 zenon_H148 zenon_H140. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L229_); trivial. % 1.22/1.44 apply (zenon_L1108_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L1110_); trivial. % 1.22/1.44 apply (zenon_L1108_); trivial. % 1.22/1.44 apply (zenon_L376_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.44 apply (zenon_L856_); trivial. % 1.22/1.44 apply (zenon_L209_); trivial. % 1.22/1.44 (* end of lemma zenon_L1111_ *) % 1.22/1.44 assert (zenon_L1112_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (c1_1 (a353)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H145 zenon_H137 zenon_H2d1 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H31b zenon_H1b3 zenon_H1b5 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H232 zenon_H2c7 zenon_H327 zenon_H31a zenon_H227 zenon_H175 zenon_H174 zenon_H173 zenon_H205 zenon_H318 zenon_H2c6 zenon_H6a zenon_H68 zenon_H53 zenon_H303 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H261 zenon_H98. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.44 apply (zenon_L1043_); trivial. % 1.22/1.44 apply (zenon_L1004_); trivial. % 1.22/1.44 apply (zenon_L1095_); trivial. % 1.22/1.44 apply (zenon_L845_); trivial. % 1.22/1.44 (* end of lemma zenon_L1112_ *) % 1.22/1.44 assert (zenon_L1113_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H19d zenon_H136 zenon_H1e3 zenon_H137 zenon_H1b5 zenon_H1b3 zenon_H1c1 zenon_H171 zenon_H32f zenon_H31b zenon_H6a zenon_H68 zenon_H2cb zenon_H234 zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H261 zenon_H301 zenon_H98 zenon_H303 zenon_H2d1 zenon_H148 zenon_H53 zenon_H3e zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2c6 zenon_H318 zenon_H205 zenon_H173 zenon_H174 zenon_H175 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H232 zenon_Hdb zenon_H21a zenon_Hd0 zenon_H52. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.44 apply (zenon_L1080_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L1042_); trivial. % 1.22/1.44 apply (zenon_L1112_); trivial. % 1.22/1.44 apply (zenon_L1082_); trivial. % 1.22/1.44 (* end of lemma zenon_L1113_ *) % 1.22/1.44 assert (zenon_L1114_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H53 zenon_H132 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5 zenon_H10c zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.44 apply (zenon_L126_); trivial. % 1.22/1.44 apply (zenon_L924_); trivial. % 1.22/1.44 (* end of lemma zenon_L1114_ *) % 1.22/1.44 assert (zenon_L1115_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H52 zenon_H2c6 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H10c zenon_H5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H132 zenon_H53. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.44 apply (zenon_L1114_); trivial. % 1.22/1.44 apply (zenon_L1059_); trivial. % 1.22/1.44 (* end of lemma zenon_L1115_ *) % 1.22/1.44 assert (zenon_L1116_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_Hcd zenon_H2c6 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H42 zenon_H43 zenon_H44 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H30a zenon_H153 zenon_H2cb zenon_Hd0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.44 apply (zenon_L1103_); trivial. % 1.22/1.44 apply (zenon_L656_); trivial. % 1.22/1.44 (* end of lemma zenon_L1116_ *) % 1.22/1.44 assert (zenon_L1117_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H52 zenon_H171 zenon_H32f zenon_H31b zenon_H301 zenon_H6a zenon_H68 zenon_H66 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H20 zenon_H21 zenon_H22 zenon_H12c zenon_H2c6 zenon_Hcd zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H3 zenon_H3e zenon_H53. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.44 apply (zenon_L202_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.44 apply (zenon_L25_); trivial. % 1.22/1.44 apply (zenon_L1116_); trivial. % 1.22/1.44 apply (zenon_L1019_); trivial. % 1.22/1.44 (* end of lemma zenon_L1117_ *) % 1.22/1.44 assert (zenon_L1118_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp17)) -> (~(hskp17)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H98 zenon_H95 zenon_H92 zenon_H53 zenon_H3e zenon_H3 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_Hcd zenon_H2c6 zenon_H12c zenon_H22 zenon_H21 zenon_H20 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H30a zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H301 zenon_H31b zenon_H32f zenon_H171 zenon_H52. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L1117_); trivial. % 1.22/1.44 apply (zenon_L35_); trivial. % 1.22/1.44 (* end of lemma zenon_L1118_ *) % 1.22/1.44 assert (zenon_L1119_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))) -> (~(c2_1 (a418))) -> (~(c3_1 (a418))) -> (c0_1 (a418)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H158 zenon_H10 zenon_H162 zenon_H1e5 zenon_H1e6 zenon_H1e7. % 1.22/1.44 generalize (zenon_H158 (a418)). zenon_intro zenon_H337. % 1.22/1.44 apply (zenon_imply_s _ _ zenon_H337); [ zenon_intro zenon_Hf | zenon_intro zenon_H338 ]. % 1.22/1.44 exact (zenon_Hf zenon_H10). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H339 | zenon_intro zenon_H1ea ]. % 1.22/1.44 generalize (zenon_H162 (a418)). zenon_intro zenon_H33a. % 1.22/1.44 apply (zenon_imply_s _ _ zenon_H33a); [ zenon_intro zenon_Hf | zenon_intro zenon_H33b ]. % 1.22/1.44 exact (zenon_Hf zenon_H10). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H1eb | zenon_intro zenon_H33c ]. % 1.22/1.44 exact (zenon_H1e5 zenon_H1eb). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H1ed | zenon_intro zenon_H33d ]. % 1.22/1.44 exact (zenon_H1e6 zenon_H1ed). % 1.22/1.44 exact (zenon_H33d zenon_H339). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ec ]. % 1.22/1.44 exact (zenon_H1e6 zenon_H1ed). % 1.22/1.44 exact (zenon_H1ec zenon_H1e7). % 1.22/1.44 (* end of lemma zenon_L1119_ *) % 1.22/1.44 assert (zenon_L1120_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a418)) -> (~(c3_1 (a418))) -> (~(c2_1 (a418))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57)))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H32f zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H158 zenon_H31b zenon_H327 zenon_H31a zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H162 | zenon_intro zenon_H330 ]. % 1.22/1.44 apply (zenon_L1119_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H326 | zenon_intro zenon_Hd1 ]. % 1.22/1.44 apply (zenon_L810_); trivial. % 1.22/1.44 apply (zenon_L51_); trivial. % 1.22/1.44 (* end of lemma zenon_L1120_ *) % 1.22/1.44 assert (zenon_L1121_ : ((ndr1_0)/\((c0_1 (a418))/\((~(c2_1 (a418)))/\(~(c3_1 (a418)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (~(c2_1 (a398))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp3)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1f0 zenon_H160 zenon_H14 zenon_H13 zenon_H12 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H4b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H10. zenon_intro zenon_H1f2. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1e7. zenon_intro zenon_H1f3. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 1.22/1.44 apply (zenon_L9_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H158 | zenon_intro zenon_H4c ]. % 1.22/1.44 apply (zenon_L1120_); trivial. % 1.22/1.44 exact (zenon_H4b zenon_H4c). % 1.22/1.44 (* end of lemma zenon_L1121_ *) % 1.22/1.44 assert (zenon_L1122_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H13a zenon_H137 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H12d zenon_H53 zenon_H132 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10c zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H2c6 zenon_H52. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_L1115_); trivial. % 1.22/1.44 apply (zenon_L577_); trivial. % 1.22/1.44 (* end of lemma zenon_L1122_ *) % 1.22/1.44 assert (zenon_L1123_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H19f zenon_H136 zenon_H132 zenon_H10c zenon_H2c7 zenon_H2c6 zenon_H137 zenon_H1b5 zenon_H1b3 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H23 zenon_H273 zenon_H160 zenon_H4b zenon_H227 zenon_H54 zenon_H52 zenon_H148. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L1042_); trivial. % 1.22/1.44 apply (zenon_L226_); trivial. % 1.22/1.44 apply (zenon_L1122_); trivial. % 1.22/1.44 (* end of lemma zenon_L1123_ *) % 1.22/1.44 assert (zenon_L1124_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_L1041_); trivial. % 1.22/1.44 apply (zenon_L113_); trivial. % 1.22/1.44 (* end of lemma zenon_L1124_ *) % 1.22/1.44 assert (zenon_L1125_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H148 zenon_H2d1 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H2c6 zenon_H318 zenon_H205 zenon_H227 zenon_H2c7 zenon_H232 zenon_Hdb zenon_H21a zenon_H52 zenon_H98 zenon_H301 zenon_H261 zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H137. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L1124_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L854_); trivial. % 1.22/1.44 apply (zenon_L1095_); trivial. % 1.22/1.44 apply (zenon_L113_); trivial. % 1.22/1.44 (* end of lemma zenon_L1125_ *) % 1.22/1.44 assert (zenon_L1126_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H53 zenon_H132 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10c zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H2c6 zenon_H52. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_L1115_); trivial. % 1.22/1.44 apply (zenon_L113_); trivial. % 1.22/1.44 (* end of lemma zenon_L1126_ *) % 1.22/1.44 assert (zenon_L1127_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H135 zenon_H136 zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H132 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10c zenon_H53 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H227 zenon_H52. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_L208_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.44 apply (zenon_L1114_); trivial. % 1.22/1.44 apply (zenon_L207_); trivial. % 1.22/1.44 apply (zenon_L113_); trivial. % 1.22/1.44 (* end of lemma zenon_L1127_ *) % 1.22/1.44 assert (zenon_L1128_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c1_1 (a353)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H214 zenon_H19d zenon_H212 zenon_H2d1 zenon_H4b zenon_H160 zenon_H32f zenon_H301 zenon_H261 zenon_H31b zenon_H136 zenon_H2c6 zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H10c zenon_H132 zenon_H171 zenon_H16c zenon_H6a zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H12d zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H1e3 zenon_H173 zenon_H174 zenon_H175 zenon_H2e7 zenon_H232 zenon_H98 zenon_H137 zenon_H52 zenon_Hd0 zenon_H21a zenon_Hdb zenon_H234 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H3e zenon_H53 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H62 zenon_H54 zenon_H148 zenon_H140. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_L231_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.44 apply (zenon_L1115_); trivial. % 1.22/1.44 apply (zenon_L1109_); trivial. % 1.22/1.44 apply (zenon_L230_); trivial. % 1.22/1.44 apply (zenon_L376_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.44 apply (zenon_L1036_); trivial. % 1.22/1.44 apply (zenon_L855_); trivial. % 1.22/1.44 apply (zenon_L1126_); trivial. % 1.22/1.44 apply (zenon_L1127_); trivial. % 1.22/1.44 (* end of lemma zenon_L1128_ *) % 1.22/1.44 assert (zenon_L1129_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H214 zenon_H140 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H1cc. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.44 apply (zenon_L878_); trivial. % 1.22/1.44 apply (zenon_L661_); trivial. % 1.22/1.44 (* end of lemma zenon_L1129_ *) % 1.22/1.44 assert (zenon_L1130_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.44 apply (zenon_L273_); trivial. % 1.22/1.44 apply (zenon_L1019_); trivial. % 1.22/1.44 (* end of lemma zenon_L1130_ *) % 1.22/1.44 assert (zenon_L1131_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (c2_1 (a372)) -> (c1_1 (a372)) -> (c0_1 (a372)) -> (ndr1_0) -> (c0_1 (a373)) -> (c1_1 (a373)) -> (c3_1 (a373)) -> False). % 1.22/1.44 do 0 intro. intros zenon_Hc8 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H10 zenon_Hbe zenon_Hbf zenon_Hc0. % 1.22/1.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.22/1.44 apply (zenon_L290_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.22/1.44 apply (zenon_L46_); trivial. % 1.22/1.44 apply (zenon_L47_); trivial. % 1.22/1.44 (* end of lemma zenon_L1131_ *) % 1.22/1.44 assert (zenon_L1132_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (c3_1 (a373)) -> (c1_1 (a373)) -> (c0_1 (a373)) -> (ndr1_0) -> (c0_1 (a372)) -> (c1_1 (a372)) -> (c2_1 (a372)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp16)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H293 zenon_H78 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H10 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H27f zenon_H280 zenon_H281 zenon_Hc8 zenon_H5. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.22/1.45 apply (zenon_L249_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.22/1.45 apply (zenon_L1131_); trivial. % 1.22/1.45 exact (zenon_H5 zenon_H6). % 1.22/1.45 (* end of lemma zenon_L1132_ *) % 1.22/1.45 assert (zenon_L1133_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a399)) -> (~(c3_1 (a399))) -> (~(c0_1 (a399))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_H82 zenon_Hb zenon_H14 zenon_H13 zenon_H12 zenon_H27f zenon_H280 zenon_H281 zenon_Hc8 zenon_H5 zenon_H293 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.45 apply (zenon_L45_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.22/1.45 apply (zenon_L1132_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.22/1.45 apply (zenon_L9_); trivial. % 1.22/1.45 exact (zenon_Hb zenon_Hc). % 1.22/1.45 (* end of lemma zenon_L1133_ *) % 1.22/1.45 assert (zenon_L1134_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H55 zenon_Hd0 zenon_Hcd zenon_H82 zenon_Hb zenon_H27f zenon_H280 zenon_H281 zenon_Hc8 zenon_H5 zenon_H293 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1 zenon_He2 zenon_H1 zenon_H234. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.45 apply (zenon_L166_); trivial. % 1.22/1.45 apply (zenon_L1133_); trivial. % 1.22/1.45 (* end of lemma zenon_L1134_ *) % 1.22/1.45 assert (zenon_L1135_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H13d zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H205 zenon_H297 zenon_Hcd zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_L273_); trivial. % 1.22/1.45 apply (zenon_L1029_); trivial. % 1.22/1.45 (* end of lemma zenon_L1135_ *) % 1.22/1.45 assert (zenon_L1136_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H10 zenon_H163 zenon_H164 zenon_H165 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H59 zenon_H5a zenon_H5b zenon_H250 zenon_H303 zenon_H53. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_L505_); trivial. % 1.22/1.45 apply (zenon_L826_); trivial. % 1.22/1.45 (* end of lemma zenon_L1136_ *) % 1.22/1.45 assert (zenon_L1137_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (~(hskp10)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H3d zenon_H2a1 zenon_H5 zenon_H293 zenon_H256 zenon_H255 zenon_H254 zenon_H297 zenon_H281 zenon_H280 zenon_H27f zenon_H165 zenon_H164 zenon_H163 zenon_H205. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.22/1.45 apply (zenon_L289_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.22/1.45 apply (zenon_L192_); trivial. % 1.22/1.45 apply (zenon_L285_); trivial. % 1.22/1.45 (* end of lemma zenon_L1137_ *) % 1.22/1.45 assert (zenon_L1138_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H53 zenon_H2a1 zenon_H205 zenon_H297 zenon_H256 zenon_H255 zenon_H254 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H165 zenon_H164 zenon_H163 zenon_H10 zenon_Haf zenon_H12d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.45 apply (zenon_L503_); trivial. % 1.22/1.45 apply (zenon_L1137_); trivial. % 1.22/1.45 (* end of lemma zenon_L1138_ *) % 1.22/1.45 assert (zenon_L1139_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a388))) -> (~(c3_1 (a388))) -> (c1_1 (a388)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H25d zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H163 zenon_H164 zenon_H165 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H297 zenon_H205 zenon_H2a1 zenon_H53. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_L1138_); trivial. % 1.22/1.45 apply (zenon_L826_); trivial. % 1.22/1.45 (* end of lemma zenon_L1139_ *) % 1.22/1.45 assert (zenon_L1140_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H16e zenon_H260 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H297 zenon_H205 zenon_H2a1 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.45 apply (zenon_L1136_); trivial. % 1.22/1.45 apply (zenon_L1139_); trivial. % 1.22/1.45 (* end of lemma zenon_L1140_ *) % 1.22/1.45 assert (zenon_L1141_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H145 zenon_H137 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12c zenon_Hcd zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H303 zenon_H53 zenon_H2a1 zenon_H205 zenon_H297 zenon_H293 zenon_H260 zenon_H171. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_L273_); trivial. % 1.22/1.45 apply (zenon_L1140_); trivial. % 1.22/1.45 apply (zenon_L1135_); trivial. % 1.22/1.45 (* end of lemma zenon_L1141_ *) % 1.22/1.45 assert (zenon_L1142_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H27f zenon_H280 zenon_H281 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132 zenon_Hcd. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_L639_); trivial. % 1.22/1.45 apply (zenon_L826_); trivial. % 1.22/1.45 (* end of lemma zenon_L1142_ *) % 1.22/1.45 assert (zenon_L1143_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H13d zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132 zenon_Hcd zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_L273_); trivial. % 1.22/1.45 apply (zenon_L1142_); trivial. % 1.22/1.45 (* end of lemma zenon_L1143_ *) % 1.22/1.45 assert (zenon_L1144_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H13a zenon_H137 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12c zenon_Hcd zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.45 apply (zenon_L631_); trivial. % 1.22/1.45 apply (zenon_L1143_); trivial. % 1.22/1.45 (* end of lemma zenon_L1144_ *) % 1.22/1.45 assert (zenon_L1145_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.45 apply (zenon_L503_); trivial. % 1.22/1.45 apply (zenon_L142_); trivial. % 1.22/1.45 apply (zenon_L826_); trivial. % 1.22/1.45 (* end of lemma zenon_L1145_ *) % 1.22/1.45 assert (zenon_L1146_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_L273_); trivial. % 1.22/1.45 apply (zenon_L1145_); trivial. % 1.22/1.45 (* end of lemma zenon_L1146_ *) % 1.22/1.45 assert (zenon_L1147_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H214 zenon_H19d zenon_H136 zenon_H137 zenon_Hb1 zenon_H12c zenon_Hcd zenon_H10c zenon_H132 zenon_H212 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H53 zenon_H3e zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.45 apply (zenon_L1130_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.45 apply (zenon_L1146_); trivial. % 1.22/1.45 apply (zenon_L1144_); trivial. % 1.22/1.45 (* end of lemma zenon_L1147_ *) % 1.22/1.45 assert (zenon_L1148_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp24)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (ndr1_0) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hcd zenon_H273 zenon_H68 zenon_H9 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H10 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.45 apply (zenon_L45_); trivial. % 1.22/1.45 apply (zenon_L546_); trivial. % 1.22/1.45 (* end of lemma zenon_L1148_ *) % 1.22/1.45 assert (zenon_L1149_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H16e zenon_H87 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hcd zenon_H273 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_Hb zenon_H82 zenon_H54 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.45 apply (zenon_L25_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.45 apply (zenon_L1148_); trivial. % 1.22/1.45 apply (zenon_L29_); trivial. % 1.22/1.45 apply (zenon_L826_); trivial. % 1.22/1.45 (* end of lemma zenon_L1149_ *) % 1.22/1.45 assert (zenon_L1150_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H273 zenon_Hb zenon_H82 zenon_H54 zenon_H6a zenon_H68 zenon_H66 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H27f zenon_H280 zenon_H281 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H132 zenon_Hcd zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_L651_); trivial. % 1.22/1.45 apply (zenon_L1149_); trivial. % 1.22/1.45 (* end of lemma zenon_L1150_ *) % 1.22/1.45 assert (zenon_L1151_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H13a zenon_H137 zenon_H260 zenon_H134 zenon_H2a1 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_Hcd zenon_H132 zenon_H12c zenon_H281 zenon_H280 zenon_H27f zenon_H30a zenon_H2cb zenon_Hd0 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.45 apply (zenon_L650_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.45 apply (zenon_L1150_); trivial. % 1.22/1.45 apply (zenon_L90_); trivial. % 1.22/1.45 (* end of lemma zenon_L1151_ *) % 1.22/1.45 assert (zenon_L1152_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H94 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2e7 zenon_H260. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_L836_); trivial. % 1.22/1.45 apply (zenon_L1019_); trivial. % 1.22/1.45 (* end of lemma zenon_L1152_ *) % 1.22/1.45 assert (zenon_L1153_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H98 zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.45 apply (zenon_L1040_); trivial. % 1.22/1.45 apply (zenon_L1152_); trivial. % 1.22/1.45 (* end of lemma zenon_L1153_ *) % 1.22/1.45 assert (zenon_L1154_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H136 zenon_H132 zenon_H98 zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H234 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H54 zenon_H82 zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H273 zenon_H303 zenon_H1a6 zenon_H148. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.45 apply (zenon_L1153_); trivial. % 1.22/1.45 apply (zenon_L658_); trivial. % 1.22/1.45 apply (zenon_L311_); trivial. % 1.22/1.45 (* end of lemma zenon_L1154_ *) % 1.22/1.45 assert (zenon_L1155_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_Hd0 zenon_H2cb zenon_H153 zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H68 zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.45 apply (zenon_L1016_); trivial. % 1.22/1.45 apply (zenon_L656_); trivial. % 1.22/1.45 (* end of lemma zenon_L1155_ *) % 1.22/1.45 assert (zenon_L1156_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_H66 zenon_H54 zenon_H82 zenon_Hb zenon_Hcd zenon_H273 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H30a zenon_H2cb zenon_Hd0 zenon_H12d zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.45 apply (zenon_L25_); trivial. % 1.22/1.45 apply (zenon_L1155_); trivial. % 1.22/1.45 apply (zenon_L1039_); trivial. % 1.22/1.45 (* end of lemma zenon_L1156_ *) % 1.22/1.45 assert (zenon_L1157_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H13d zenon_H98 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H1a6 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_H68 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.45 apply (zenon_L1156_); trivial. % 1.22/1.45 apply (zenon_L792_); trivial. % 1.22/1.45 (* end of lemma zenon_L1157_ *) % 1.22/1.45 assert (zenon_L1158_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H137 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H1a6 zenon_H30a zenon_H12c zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.45 apply (zenon_L1041_); trivial. % 1.22/1.45 apply (zenon_L1157_); trivial. % 1.22/1.45 (* end of lemma zenon_L1158_ *) % 1.22/1.45 assert (zenon_L1159_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (~(hskp6)) -> (~(hskp24)) -> (ndr1_0) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp4)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1a6 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H68 zenon_H9 zenon_H10 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H273 zenon_Hb. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H88 | zenon_intro zenon_H1a7 ]. % 1.22/1.45 apply (zenon_L290_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.22/1.45 apply (zenon_L588_); trivial. % 1.22/1.45 exact (zenon_Hb zenon_Hc). % 1.22/1.45 (* end of lemma zenon_L1159_ *) % 1.22/1.45 assert (zenon_L1160_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp6)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp13)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Hb zenon_H273 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H10 zenon_H9 zenon_H68 zenon_H27f zenon_H280 zenon_H281 zenon_H1a6 zenon_He2. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.22/1.45 apply (zenon_L141_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.22/1.45 apply (zenon_L1159_); trivial. % 1.22/1.45 exact (zenon_He2 zenon_He3). % 1.22/1.45 (* end of lemma zenon_L1160_ *) % 1.22/1.45 assert (zenon_L1161_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H84 zenon_H54 zenon_H82 zenon_H209 zenon_H20a zenon_H20b zenon_H1a6 zenon_Hb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H68 zenon_H273 zenon_H281 zenon_H280 zenon_H27f zenon_He2 zenon_H212. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.45 apply (zenon_L1160_); trivial. % 1.22/1.45 apply (zenon_L29_); trivial. % 1.22/1.45 (* end of lemma zenon_L1161_ *) % 1.22/1.45 assert (zenon_L1162_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H87 zenon_H54 zenon_H82 zenon_H209 zenon_H20a zenon_H20b zenon_H1a6 zenon_Hb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H273 zenon_H281 zenon_H280 zenon_H27f zenon_He2 zenon_H212 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.45 apply (zenon_L25_); trivial. % 1.22/1.45 apply (zenon_L1161_); trivial. % 1.22/1.45 (* end of lemma zenon_L1162_ *) % 1.22/1.45 assert (zenon_L1163_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H98 zenon_Hf1 zenon_H6a zenon_H68 zenon_H212 zenon_He2 zenon_H27f zenon_H280 zenon_H281 zenon_H273 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6 zenon_H20b zenon_H20a zenon_H209 zenon_H82 zenon_H54 zenon_H87. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.45 apply (zenon_L1162_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.45 apply (zenon_L590_); trivial. % 1.22/1.45 apply (zenon_L1161_); trivial. % 1.22/1.45 (* end of lemma zenon_L1163_ *) % 1.22/1.45 assert (zenon_L1164_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H214 zenon_H136 zenon_H132 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H87 zenon_H54 zenon_H82 zenon_H1a6 zenon_Hb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H273 zenon_H281 zenon_H280 zenon_H27f zenon_H212 zenon_H68 zenon_H6a zenon_Hf1 zenon_H98. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.45 apply (zenon_L1163_); trivial. % 1.22/1.45 apply (zenon_L311_); trivial. % 1.22/1.45 (* end of lemma zenon_L1164_ *) % 1.22/1.45 assert (zenon_L1165_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(hskp11)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H145 zenon_H62 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H3. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H11 | zenon_intro zenon_H63 ]. % 1.22/1.45 apply (zenon_L451_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 1.22/1.45 apply (zenon_L19_); trivial. % 1.22/1.45 exact (zenon_H3 zenon_H4). % 1.22/1.45 (* end of lemma zenon_L1165_ *) % 1.22/1.45 assert (zenon_L1166_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H136 zenon_H98 zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H234 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H132 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H281 zenon_H280 zenon_H27f zenon_H62 zenon_H148. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.45 apply (zenon_L1153_); trivial. % 1.22/1.45 apply (zenon_L1165_); trivial. % 1.22/1.45 apply (zenon_L311_); trivial. % 1.22/1.45 (* end of lemma zenon_L1166_ *) % 1.22/1.45 assert (zenon_L1167_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H2cb zenon_H153 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_Hb zenon_H82. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.22/1.45 apply (zenon_L28_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.22/1.45 apply (zenon_L365_); trivial. % 1.22/1.45 exact (zenon_Hb zenon_Hc). % 1.22/1.45 apply (zenon_L656_); trivial. % 1.22/1.45 (* end of lemma zenon_L1167_ *) % 1.22/1.45 assert (zenon_L1168_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H2cb zenon_H153 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H10 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.45 apply (zenon_L653_); trivial. % 1.22/1.45 apply (zenon_L1167_); trivial. % 1.22/1.45 (* end of lemma zenon_L1168_ *) % 1.22/1.45 assert (zenon_L1169_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H137 zenon_H1c1 zenon_H54 zenon_H273 zenon_H10c zenon_Hb zenon_H82 zenon_Hf1 zenon_H261 zenon_H148 zenon_H62 zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H3e zenon_H301 zenon_H98 zenon_H136. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.45 apply (zenon_L1166_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.45 apply (zenon_L699_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.45 apply (zenon_L1168_); trivial. % 1.22/1.45 apply (zenon_L978_); trivial. % 1.22/1.45 apply (zenon_L113_); trivial. % 1.22/1.45 (* end of lemma zenon_L1169_ *) % 1.22/1.45 assert (zenon_L1170_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H19d zenon_H137 zenon_Hb1 zenon_H12c zenon_H205 zenon_H297 zenon_Hcd zenon_H173 zenon_H174 zenon_H175 zenon_H1cc zenon_H293 zenon_H17c zenon_H17e zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H53 zenon_H3e zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.45 apply (zenon_L1130_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.45 apply (zenon_L795_); trivial. % 1.22/1.45 apply (zenon_L1135_); trivial. % 1.22/1.45 (* end of lemma zenon_L1170_ *) % 1.22/1.45 assert (zenon_L1171_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp16)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c2_1 (a372)) -> (c1_1 (a372)) -> (c0_1 (a372)) -> (ndr1_0) -> (c0_1 (a373)) -> (c1_1 (a373)) -> (c3_1 (a373)) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hc8 zenon_H5 zenon_H27f zenon_H280 zenon_H281 zenon_Hd1 zenon_H293 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H10 zenon_Hbe zenon_Hbf zenon_Hc0. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 1.22/1.45 apply (zenon_L291_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 1.22/1.45 apply (zenon_L46_); trivial. % 1.22/1.45 apply (zenon_L47_); trivial. % 1.22/1.45 (* end of lemma zenon_L1171_ *) % 1.22/1.45 assert (zenon_L1172_ : ((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (c1_1 (a365)) -> (c2_1 (a365)) -> (c3_1 (a365)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c0_1 (a372)) -> (c1_1 (a372)) -> (c2_1 (a372)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp8)) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hc7 zenon_H1b5 zenon_H34 zenon_H35 zenon_H36 zenon_H261 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H2a1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H293 zenon_H281 zenon_H280 zenon_H27f zenon_H5 zenon_Hc8 zenon_H1b3. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.45 apply (zenon_L293_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.45 apply (zenon_L1171_); trivial. % 1.22/1.45 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.45 (* end of lemma zenon_L1172_ *) % 1.22/1.45 assert (zenon_L1173_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a365)) -> (c2_1 (a365)) -> (c1_1 (a365)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_H1b5 zenon_H1b3 zenon_Hc8 zenon_H293 zenon_H5 zenon_H36 zenon_H35 zenon_H34 zenon_H281 zenon_H280 zenon_H27f zenon_H1c1 zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H261 zenon_H2a1 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.22/1.45 apply (zenon_L45_); trivial. % 1.22/1.45 apply (zenon_L1172_); trivial. % 1.22/1.45 (* end of lemma zenon_L1173_ *) % 1.22/1.45 assert (zenon_L1174_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H234 zenon_H1 zenon_He2 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H2a1 zenon_H261 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_Hc8 zenon_H1b3 zenon_H1b5 zenon_Hcd zenon_Hd0 zenon_H53. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.45 apply (zenon_L503_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.45 apply (zenon_L166_); trivial. % 1.22/1.45 apply (zenon_L1173_); trivial. % 1.22/1.45 apply (zenon_L826_); trivial. % 1.22/1.45 (* end of lemma zenon_L1174_ *) % 1.22/1.45 assert (zenon_L1175_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H261 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H1e3 zenon_H297 zenon_H205 zenon_H2a1 zenon_H53. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.45 apply (zenon_L503_); trivial. % 1.22/1.45 apply (zenon_L468_); trivial. % 1.22/1.45 apply (zenon_L826_); trivial. % 1.22/1.45 (* end of lemma zenon_L1175_ *) % 1.22/1.45 assert (zenon_L1176_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H214 zenon_H19d zenon_H136 zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H10c zenon_H132 zenon_H212 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H53 zenon_H3e zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.45 apply (zenon_L1130_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.45 apply (zenon_L1146_); trivial. % 1.22/1.45 apply (zenon_L646_); trivial. % 1.22/1.45 (* end of lemma zenon_L1176_ *) % 1.22/1.45 assert (zenon_L1177_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H137 zenon_H1b1 zenon_H27f zenon_H280 zenon_H281 zenon_H1b3 zenon_H1b5 zenon_H6d zenon_H6e zenon_H6f zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H261 zenon_H301 zenon_H98. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.45 apply (zenon_L1041_); trivial. % 1.22/1.45 apply (zenon_L296_); trivial. % 1.22/1.45 (* end of lemma zenon_L1177_ *) % 1.22/1.45 assert (zenon_L1178_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H2a1 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H68 zenon_H9 zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H273 zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.22/1.45 apply (zenon_L263_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.22/1.45 apply (zenon_L1083_); trivial. % 1.22/1.45 apply (zenon_L51_); trivial. % 1.22/1.45 (* end of lemma zenon_L1178_ *) % 1.22/1.45 assert (zenon_L1179_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (~(c2_1 (a398))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> (~(hskp6)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H10 zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H9 zenon_H68 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_He2. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.22/1.45 apply (zenon_L141_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.22/1.45 apply (zenon_L1178_); trivial. % 1.22/1.45 exact (zenon_He2 zenon_He3). % 1.22/1.45 (* end of lemma zenon_L1179_ *) % 1.22/1.45 assert (zenon_L1180_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (~(c2_1 (a398))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1b1 zenon_H1b3 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H9 zenon_H2a1 zenon_He2 zenon_H1b5 zenon_H68. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.22/1.45 apply (zenon_L1179_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.45 apply (zenon_L1179_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.45 apply (zenon_L284_); trivial. % 1.22/1.45 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.45 exact (zenon_H68 zenon_H69). % 1.22/1.45 (* end of lemma zenon_L1180_ *) % 1.22/1.45 assert (zenon_L1181_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (~(c2_1 (a398))) -> (ndr1_0) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H10 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_He2. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.22/1.45 apply (zenon_L141_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.22/1.45 apply (zenon_L263_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.22/1.45 apply (zenon_L174_); trivial. % 1.22/1.45 apply (zenon_L51_); trivial. % 1.22/1.45 exact (zenon_He2 zenon_He3). % 1.22/1.45 (* end of lemma zenon_L1181_ *) % 1.22/1.45 assert (zenon_L1182_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H4d zenon_H134 zenon_H232 zenon_H209 zenon_H20a zenon_H20b zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H281 zenon_H280 zenon_H27f zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.45 apply (zenon_L571_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.45 apply (zenon_L15_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.45 apply (zenon_L88_); trivial. % 1.22/1.45 apply (zenon_L1181_); trivial. % 1.22/1.45 (* end of lemma zenon_L1182_ *) % 1.22/1.45 assert (zenon_L1183_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H52 zenon_H134 zenon_H232 zenon_H2a1 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H281 zenon_H280 zenon_H27f zenon_H175 zenon_H174 zenon_H173 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.45 apply (zenon_L143_); trivial. % 1.22/1.45 apply (zenon_L1182_); trivial. % 1.22/1.45 (* end of lemma zenon_L1183_ *) % 1.22/1.45 assert (zenon_L1184_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H19f zenon_H136 zenon_H137 zenon_H1b1 zenon_H68 zenon_H1b3 zenon_H1b5 zenon_H10c zenon_H132 zenon_H53 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H173 zenon_H174 zenon_H175 zenon_H27f zenon_H280 zenon_H281 zenon_H1c1 zenon_H2a1 zenon_H232 zenon_H134 zenon_H52. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.46 apply (zenon_L1183_); trivial. % 1.22/1.46 apply (zenon_L804_); trivial. % 1.22/1.46 (* end of lemma zenon_L1184_ *) % 1.22/1.46 assert (zenon_L1185_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H94 zenon_H52 zenon_H134 zenon_H232 zenon_H209 zenon_H20a zenon_H20b zenon_H2a1 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H281 zenon_H280 zenon_H27f zenon_He2 zenon_H212 zenon_H175 zenon_H174 zenon_H173 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H5 zenon_H261 zenon_H53. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.46 apply (zenon_L212_); trivial. % 1.22/1.46 apply (zenon_L1182_); trivial. % 1.22/1.46 (* end of lemma zenon_L1185_ *) % 1.22/1.46 assert (zenon_L1186_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H214 zenon_H19d zenon_H140 zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H23 zenon_H212 zenon_H232 zenon_H52 zenon_H261 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H16c zenon_H137 zenon_H2c6 zenon_H2c7 zenon_H227 zenon_H10c zenon_H148 zenon_H62 zenon_H27f zenon_H280 zenon_H281 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H132 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H53 zenon_H3e zenon_H301 zenon_H98 zenon_H136. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.46 apply (zenon_L1166_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.46 apply (zenon_L1036_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L854_); trivial. % 1.22/1.46 apply (zenon_L1185_); trivial. % 1.22/1.46 apply (zenon_L113_); trivial. % 1.22/1.46 apply (zenon_L1126_); trivial. % 1.22/1.46 apply (zenon_L1127_); trivial. % 1.22/1.46 (* end of lemma zenon_L1186_ *) % 1.22/1.46 assert (zenon_L1187_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H214 zenon_H136 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H132 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H53 zenon_H212 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.46 apply (zenon_L1146_); trivial. % 1.22/1.46 apply (zenon_L680_); trivial. % 1.22/1.46 (* end of lemma zenon_L1187_ *) % 1.22/1.46 assert (zenon_L1188_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp8)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H54 zenon_H53 zenon_H303 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H273 zenon_H68 zenon_H10 zenon_H59 zenon_H5a zenon_H5b zenon_H1b3 zenon_H308 zenon_H250 zenon_H153 zenon_H2cb zenon_Hd0. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.46 apply (zenon_L539_); trivial. % 1.22/1.46 apply (zenon_L749_); trivial. % 1.22/1.46 (* end of lemma zenon_L1188_ *) % 1.22/1.46 assert (zenon_L1189_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H153 zenon_H308 zenon_H1b3 zenon_H5b zenon_H5a zenon_H59 zenon_H68 zenon_H273 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H303 zenon_H53 zenon_H54. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.46 apply (zenon_L1188_); trivial. % 1.22/1.46 apply (zenon_L566_); trivial. % 1.22/1.46 (* end of lemma zenon_L1189_ *) % 1.22/1.46 assert (zenon_L1190_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H153 zenon_H308 zenon_H1b3 zenon_H5b zenon_H5a zenon_H59 zenon_H273 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H303 zenon_H53 zenon_H54 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.46 apply (zenon_L25_); trivial. % 1.22/1.46 apply (zenon_L1189_); trivial. % 1.22/1.46 (* end of lemma zenon_L1190_ *) % 1.22/1.46 assert (zenon_L1191_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H6a zenon_H68 zenon_H66 zenon_H54 zenon_H82 zenon_Hb zenon_Hcd zenon_H273 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H30a zenon_H2cb zenon_Hd0 zenon_H2a1 zenon_H114 zenon_H113 zenon_H12d zenon_H134 zenon_H260 zenon_H87. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.46 apply (zenon_L25_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.46 apply (zenon_L1016_); trivial. % 1.22/1.46 apply (zenon_L566_); trivial. % 1.22/1.46 apply (zenon_L1149_); trivial. % 1.22/1.46 (* end of lemma zenon_L1191_ *) % 1.22/1.46 assert (zenon_L1192_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp4)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c0_1 (a382))) -> (~(c2_1 (a382))) -> (c3_1 (a382)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp8)) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1b5 zenon_Hb zenon_H6d zenon_H6e zenon_H6f zenon_H89 zenon_H8a zenon_H8b zenon_H1a6 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H114 zenon_H113 zenon_H12d zenon_H1b3. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.22/1.46 apply (zenon_L105_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.22/1.46 apply (zenon_L489_); trivial. % 1.22/1.46 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.46 (* end of lemma zenon_L1192_ *) % 1.22/1.46 assert (zenon_L1193_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (c3_1 (a382)) -> (~(c2_1 (a382))) -> (~(c0_1 (a382))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H8b zenon_H8a zenon_H89 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H1b3 zenon_H1b5. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.46 apply (zenon_L1192_); trivial. % 1.22/1.46 apply (zenon_L826_); trivial. % 1.22/1.46 (* end of lemma zenon_L1193_ *) % 1.22/1.46 assert (zenon_L1194_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13d zenon_H98 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hf1 zenon_H53 zenon_H303 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H59 zenon_H5a zenon_H5b zenon_H308 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_H68 zenon_H6a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L1191_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.46 apply (zenon_L981_); trivial. % 1.22/1.46 apply (zenon_L1189_); trivial. % 1.22/1.46 apply (zenon_L1193_); trivial. % 1.22/1.46 (* end of lemma zenon_L1194_ *) % 1.22/1.46 assert (zenon_L1195_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H98 zenon_H53 zenon_H261 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a6 zenon_H6a zenon_H68 zenon_H273 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_Hb zenon_H82 zenon_H54 zenon_H87. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L649_); trivial. % 1.22/1.46 apply (zenon_L700_); trivial. % 1.22/1.46 (* end of lemma zenon_L1195_ *) % 1.22/1.46 assert (zenon_L1196_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a369)) -> (c0_1 (a369)) -> (~(c2_1 (a369))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H94 zenon_H52 zenon_H227 zenon_H113 zenon_H112 zenon_H114 zenon_H20b zenon_H20a zenon_H209 zenon_H134 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_Hb zenon_Hf1 zenon_Hcd zenon_H76 zenon_H82 zenon_H54 zenon_H87. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.46 apply (zenon_L982_); trivial. % 1.22/1.46 apply (zenon_L207_); trivial. % 1.22/1.46 (* end of lemma zenon_L1196_ *) % 1.22/1.46 assert (zenon_L1197_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c0_1 (a369)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13d zenon_H98 zenon_H52 zenon_H227 zenon_H112 zenon_H20b zenon_H20a zenon_H209 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_Hf1 zenon_H76 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_H68 zenon_H6a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L1191_); trivial. % 1.22/1.46 apply (zenon_L1196_); trivial. % 1.22/1.46 (* end of lemma zenon_L1197_ *) % 1.22/1.46 assert (zenon_L1198_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp19)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H171 zenon_H32f zenon_H113 zenon_H114 zenon_H31b zenon_H327 zenon_H31a zenon_H134 zenon_H54 zenon_H53 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1d zenon_H76 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H12d zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_Hb zenon_Hf1 zenon_Hcd zenon_H82 zenon_H87. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.46 apply (zenon_L624_); trivial. % 1.22/1.46 apply (zenon_L901_); trivial. % 1.22/1.46 apply (zenon_L30_); trivial. % 1.22/1.46 apply (zenon_L866_); trivial. % 1.22/1.46 (* end of lemma zenon_L1198_ *) % 1.22/1.46 assert (zenon_L1199_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H9f zenon_H16c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.46 apply (zenon_L1067_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.46 apply (zenon_L81_); trivial. % 1.22/1.46 exact (zenon_H9f zenon_Ha0). % 1.22/1.46 apply (zenon_L826_); trivial. % 1.22/1.46 (* end of lemma zenon_L1199_ *) % 1.22/1.46 assert (zenon_L1200_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a370)) -> (c0_1 (a370)) -> (~(c3_1 (a370))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H160 zenon_H4b zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H9f zenon_H16c zenon_H76 zenon_H1d zenon_H6f zenon_H6e zenon_H6d zenon_H10 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H14a zenon_H14b zenon_H14c zenon_H155 zenon_H53 zenon_H54. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_L897_); trivial. % 1.22/1.46 apply (zenon_L1199_); trivial. % 1.22/1.46 (* end of lemma zenon_L1200_ *) % 1.22/1.46 assert (zenon_L1201_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13d zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3 zenon_H3e zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.46 apply (zenon_L25_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.46 apply (zenon_L744_); trivial. % 1.22/1.46 apply (zenon_L566_); trivial. % 1.22/1.46 apply (zenon_L1019_); trivial. % 1.22/1.46 apply (zenon_L90_); trivial. % 1.22/1.46 (* end of lemma zenon_L1201_ *) % 1.22/1.46 assert (zenon_L1202_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H137 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H30a zenon_H12c zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H54 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H261 zenon_H98. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_L1026_); trivial. % 1.22/1.46 apply (zenon_L1019_); trivial. % 1.22/1.46 apply (zenon_L979_); trivial. % 1.22/1.46 apply (zenon_L1201_); trivial. % 1.22/1.46 (* end of lemma zenon_L1202_ *) % 1.22/1.46 assert (zenon_L1203_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp8)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H171 zenon_H2d1 zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H66 zenon_H54 zenon_H53 zenon_H303 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H273 zenon_H59 zenon_H5a zenon_H5b zenon_H1b3 zenon_H308 zenon_H2cb zenon_Hd0 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_L1190_); trivial. % 1.22/1.46 apply (zenon_L373_); trivial. % 1.22/1.46 (* end of lemma zenon_L1203_ *) % 1.22/1.46 assert (zenon_L1204_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H145 zenon_H98 zenon_H17e zenon_H17c zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H308 zenon_H1b3 zenon_H273 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H303 zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H2d1 zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L1203_); trivial. % 1.22/1.46 apply (zenon_L90_); trivial. % 1.22/1.46 (* end of lemma zenon_L1204_ *) % 1.22/1.46 assert (zenon_L1205_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13a zenon_H137 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3 zenon_H3e zenon_H53 zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_L650_); trivial. % 1.22/1.46 apply (zenon_L1201_); trivial. % 1.22/1.46 (* end of lemma zenon_L1205_ *) % 1.22/1.46 assert (zenon_L1206_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H145 zenon_H98 zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H31a zenon_H31b zenon_H1b5 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H308 zenon_H1b3 zenon_H273 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H303 zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H2d1 zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L1203_); trivial. % 1.22/1.46 apply (zenon_L954_); trivial. % 1.22/1.46 (* end of lemma zenon_L1206_ *) % 1.22/1.46 assert (zenon_L1207_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13d zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_H68 zenon_H6a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L1191_); trivial. % 1.22/1.46 apply (zenon_L90_); trivial. % 1.22/1.46 (* end of lemma zenon_L1207_ *) % 1.22/1.46 assert (zenon_L1208_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13a zenon_H137 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_L650_); trivial. % 1.22/1.46 apply (zenon_L1207_); trivial. % 1.22/1.46 (* end of lemma zenon_L1208_ *) % 1.22/1.46 assert (zenon_L1209_ : ((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H94 zenon_H54 zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H273 zenon_H68 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.46 apply (zenon_L589_); trivial. % 1.22/1.46 apply (zenon_L408_); trivial. % 1.22/1.46 (* end of lemma zenon_L1209_ *) % 1.22/1.46 assert (zenon_L1210_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H137 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H30a zenon_H12c zenon_H273 zenon_Hcd zenon_Hb zenon_H82 zenon_H54 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H53 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H261 zenon_H98. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_L1026_); trivial. % 1.22/1.46 apply (zenon_L1145_); trivial. % 1.22/1.46 apply (zenon_L979_); trivial. % 1.22/1.46 apply (zenon_L1207_); trivial. % 1.22/1.46 (* end of lemma zenon_L1210_ *) % 1.22/1.46 assert (zenon_L1211_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(hskp18)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H6a zenon_H68 zenon_H66 zenon_H54 zenon_H53 zenon_H3e zenon_H3 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_Hcd zenon_H273 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H30a zenon_H2cb zenon_Hd0 zenon_H12d zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_L746_); trivial. % 1.22/1.46 apply (zenon_L1019_); trivial. % 1.22/1.46 (* end of lemma zenon_L1211_ *) % 1.22/1.46 assert (zenon_L1212_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13d zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3 zenon_H3e zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L1211_); trivial. % 1.22/1.46 apply (zenon_L90_); trivial. % 1.22/1.46 (* end of lemma zenon_L1212_ *) % 1.22/1.46 assert (zenon_L1213_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H12d zenon_H3e zenon_H62 zenon_H3 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H273 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H303 zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.46 apply (zenon_L25_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.46 apply (zenon_L763_); trivial. % 1.22/1.46 apply (zenon_L742_); trivial. % 1.22/1.46 apply (zenon_L90_); trivial. % 1.22/1.46 apply (zenon_L1212_); trivial. % 1.22/1.46 (* end of lemma zenon_L1213_ *) % 1.22/1.46 assert (zenon_L1214_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H148 zenon_H62 zenon_H303 zenon_H98 zenon_H261 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H3 zenon_H3e zenon_H53 zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H54 zenon_Hcd zenon_H273 zenon_H12c zenon_H30a zenon_H1c1 zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H137. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.22/1.46 apply (zenon_L743_); trivial. % 1.22/1.46 apply (zenon_L1019_); trivial. % 1.22/1.46 apply (zenon_L979_); trivial. % 1.22/1.46 apply (zenon_L1212_); trivial. % 1.22/1.46 apply (zenon_L1213_); trivial. % 1.22/1.46 (* end of lemma zenon_L1214_ *) % 1.22/1.46 assert (zenon_L1215_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13a zenon_H137 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3 zenon_H3e zenon_H53 zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H87 zenon_H54 zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_H68 zenon_H6a zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H98. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_L650_); trivial. % 1.22/1.46 apply (zenon_L1212_); trivial. % 1.22/1.46 (* end of lemma zenon_L1215_ *) % 1.22/1.46 assert (zenon_L1216_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H54 zenon_H53 zenon_H303 zenon_H250 zenon_H5b zenon_H5a zenon_H59 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H68 zenon_H273. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.22/1.46 apply (zenon_L222_); trivial. % 1.22/1.46 apply (zenon_L749_); trivial. % 1.22/1.46 (* end of lemma zenon_L1216_ *) % 1.22/1.46 assert (zenon_L1217_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H54. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.46 apply (zenon_L1216_); trivial. % 1.22/1.46 apply (zenon_L656_); trivial. % 1.22/1.46 (* end of lemma zenon_L1217_ *) % 1.22/1.46 assert (zenon_L1218_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H273 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H54 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.46 apply (zenon_L25_); trivial. % 1.22/1.46 apply (zenon_L1217_); trivial. % 1.22/1.46 (* end of lemma zenon_L1218_ *) % 1.22/1.46 assert (zenon_L1219_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H145 zenon_H98 zenon_H2d1 zenon_H1a6 zenon_Hb zenon_H6f zenon_H6e zenon_H6d zenon_H31a zenon_H31b zenon_H1b3 zenon_H1b5 zenon_H175 zenon_H174 zenon_H173 zenon_H6a zenon_H68 zenon_H54 zenon_H53 zenon_H303 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H273 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.46 apply (zenon_L1218_); trivial. % 1.22/1.46 apply (zenon_L954_); trivial. % 1.22/1.46 (* end of lemma zenon_L1219_ *) % 1.22/1.46 assert (zenon_L1220_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H13a zenon_H137 zenon_H98 zenon_H1b5 zenon_H1b3 zenon_H6d zenon_H6e zenon_H6f zenon_H1a6 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hcd zenon_Hb zenon_H82 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H132 zenon_H53 zenon_H54. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.46 apply (zenon_L926_); trivial. % 1.22/1.46 apply (zenon_L1157_); trivial. % 1.22/1.46 (* end of lemma zenon_L1220_ *) % 1.22/1.46 assert (zenon_L1221_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H214 zenon_H19d zenon_H136 zenon_H137 zenon_H98 zenon_H1b5 zenon_H1b3 zenon_H1a6 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hcd zenon_Hb zenon_H82 zenon_H6a zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H10c zenon_H132 zenon_H212 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.47 apply (zenon_L424_); trivial. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.47 apply (zenon_L420_); trivial. % 1.22/1.47 apply (zenon_L1220_); trivial. % 1.22/1.47 (* end of lemma zenon_L1221_ *) % 1.22/1.47 assert (zenon_L1222_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c1_1 (a361))) -> (~(c2_1 (a361))) -> (c3_1 (a361)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H98 zenon_H261 zenon_H5 zenon_H6a zenon_H68 zenon_H54 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H273 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H2a1 zenon_H134 zenon_H260 zenon_H87. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.22/1.47 apply (zenon_L1218_); trivial. % 1.22/1.47 apply (zenon_L417_); trivial. % 1.22/1.47 (* end of lemma zenon_L1222_ *) % 1.22/1.47 assert (zenon_L1223_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H145 zenon_H137 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H273 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H303 zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H261 zenon_H98. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.47 apply (zenon_L1222_); trivial. % 1.22/1.47 apply (zenon_L113_); trivial. % 1.22/1.47 (* end of lemma zenon_L1223_ *) % 1.22/1.47 assert (zenon_L1224_ : ((ndr1_0)/\((c1_1 (a363))/\((c2_1 (a363))/\(~(c3_1 (a363)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a361)) -> (~(c2_1 (a361))) -> (~(c1_1 (a361))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H1c3 zenon_H19d zenon_H136 zenon_H10c zenon_H132 zenon_H137 zenon_H1c1 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H6a zenon_Hd0 zenon_H2cb zenon_H234 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H261 zenon_H301 zenon_H98 zenon_H303 zenon_H148 zenon_H273 zenon_H68 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3e zenon_H53 zenon_H54. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.47 apply (zenon_L424_); trivial. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.22/1.47 apply (zenon_L1124_); trivial. % 1.22/1.47 apply (zenon_L1223_); trivial. % 1.22/1.47 apply (zenon_L927_); trivial. % 1.22/1.47 (* end of lemma zenon_L1224_ *) % 1.22/1.47 assert (zenon_L1225_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H134 zenon_H10 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H9f zenon_H31b zenon_H31a zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H4b zenon_H160 zenon_H1cc. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.47 apply (zenon_L88_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.47 apply (zenon_L76_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.47 apply (zenon_L1067_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.47 apply (zenon_L808_); trivial. % 1.22/1.47 exact (zenon_H9f zenon_Ha0). % 1.22/1.47 apply (zenon_L122_); trivial. % 1.22/1.47 (* end of lemma zenon_L1225_ *) % 1.22/1.47 assert (zenon_L1226_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H19f zenon_H140 zenon_H134 zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H16c zenon_H31b zenon_H31a zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H4b zenon_H160 zenon_H1cc zenon_H1c1 zenon_H137. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.47 apply (zenon_L1225_); trivial. % 1.22/1.47 apply (zenon_L113_); trivial. % 1.22/1.47 apply (zenon_L661_); trivial. % 1.22/1.47 (* end of lemma zenon_L1226_ *) % 1.22/1.47 assert (zenon_L1227_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c1_1 (a395)) -> (~(c2_1 (a395))) -> (~(c0_1 (a395))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H134 zenon_H2a1 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H7b zenon_H7a zenon_H79 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H10 zenon_H12d zenon_H59 zenon_H5a zenon_H5b zenon_H250 zenon_H303 zenon_H53. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.47 apply (zenon_L727_); trivial. % 1.22/1.47 apply (zenon_L504_); trivial. % 1.22/1.47 apply (zenon_L579_); trivial. % 1.22/1.47 (* end of lemma zenon_L1227_ *) % 1.22/1.47 assert (zenon_L1228_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H84 zenon_H260 zenon_H113 zenon_H114 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2a1 zenon_H134. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.22/1.47 apply (zenon_L1227_); trivial. % 1.22/1.47 apply (zenon_L566_); trivial. % 1.22/1.47 (* end of lemma zenon_L1228_ *) % 1.22/1.47 assert (zenon_L1229_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H87 zenon_H260 zenon_H113 zenon_H114 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H5 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H2a1 zenon_H134 zenon_H66 zenon_H68 zenon_H6a. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.22/1.47 apply (zenon_L25_); trivial. % 1.22/1.47 apply (zenon_L1228_); trivial. % 1.22/1.47 (* end of lemma zenon_L1229_ *) % 1.22/1.47 assert (zenon_L1230_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a353)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a353))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.22/1.47 do 0 intro. intros zenon_H16c zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H1a2 zenon_H5 zenon_H160 zenon_H31b zenon_Hd1 zenon_H31a zenon_H10 zenon_H9f. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H157 | zenon_intro zenon_H16d ]. % 1.22/1.47 apply (zenon_L732_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H162 | zenon_intro zenon_Ha0 ]. % 1.22/1.47 apply (zenon_L808_); trivial. % 1.22/1.47 exact (zenon_H9f zenon_Ha0). % 1.22/1.47 (* end of lemma zenon_L1230_ *) % 1.22/1.47 assert (zenon_L1231_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> (c1_1 (a365)) -> (c2_1 (a365)) -> (c3_1 (a365)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> (~(hskp12)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp16)) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp9)) -> False). % 1.22/1.47 do 0 intro. intros zenon_Hcc zenon_H1cc zenon_He2 zenon_H34 zenon_H35 zenon_H36 zenon_H1cf zenon_H1ce zenon_H212 zenon_H2cf zenon_H9f zenon_H31a zenon_H31b zenon_H160 zenon_H5 zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H14b zenon_H14c zenon_H14a zenon_H4b zenon_H16c zenon_H2cd. % 1.22/1.47 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.22/1.47 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.22/1.47 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.47 apply (zenon_L360_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.47 apply (zenon_L76_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H2d0 ]. % 1.22/1.47 apply (zenon_L1230_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H2ce ]. % 1.22/1.47 apply (zenon_L46_); trivial. % 1.22/1.47 exact (zenon_H2cd zenon_H2ce). % 1.22/1.47 (* end of lemma zenon_L1231_ *) % 1.22/1.47 assert (zenon_L1232_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H3d zenon_Hd0 zenon_H1cc zenon_H16c zenon_H9f zenon_H31b zenon_H31a zenon_H10c zenon_H5 zenon_H6f zenon_H6e zenon_H6d zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2cd zenon_H2cf zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cf zenon_H1ce zenon_H212 zenon_He2 zenon_H1 zenon_H234. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.47 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.22/1.47 apply (zenon_L166_); trivial. % 1.22/1.47 apply (zenon_L1231_); trivial. % 1.22/1.47 (* end of lemma zenon_L1232_ *) % 1.22/1.47 assert (zenon_L1233_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> (~(c2_1 (a387))) -> (~(c1_1 (a387))) -> (~(c0_1 (a387))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> (~(hskp3)) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(hskp12)) -> False). % 1.22/1.47 do 0 intro. intros zenon_H3d zenon_H232 zenon_H44 zenon_H43 zenon_H42 zenon_H1cc zenon_He2 zenon_H1cf zenon_H1ce zenon_H212 zenon_H16c zenon_H4b zenon_H14a zenon_H14c zenon_H14b zenon_H10c zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H6f zenon_H6e zenon_H6d zenon_H5 zenon_H160 zenon_H31b zenon_H31a zenon_H9f. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.22/1.47 apply (zenon_L15_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.22/1.47 apply (zenon_L360_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.47 apply (zenon_L360_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.47 apply (zenon_L76_); trivial. % 1.22/1.47 apply (zenon_L1230_); trivial. % 1.22/1.47 (* end of lemma zenon_L1233_ *) % 1.22/1.47 assert (zenon_L1234_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a360))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H4d zenon_H134 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H5 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H212 zenon_He2 zenon_H1ce zenon_H1cf zenon_H14a zenon_H14c zenon_H14b zenon_H4b zenon_H160 zenon_H1cc zenon_H6d zenon_H6e zenon_H6f zenon_H31a zenon_H31b zenon_H9f zenon_H16c zenon_H232 zenon_H53. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.47 apply (zenon_L727_); trivial. % 1.22/1.47 apply (zenon_L1233_); trivial. % 1.22/1.47 apply (zenon_L435_); trivial. % 1.22/1.47 (* end of lemma zenon_L1234_ *) % 1.22/1.47 assert (zenon_L1235_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c2_1 (a353))) -> (c1_1 (a353)) -> False). % 1.22/1.47 do 0 intro. intros zenon_H3d zenon_H1cc zenon_H2d1 zenon_He2 zenon_H160 zenon_H1cf zenon_H1ce zenon_H14b zenon_H14c zenon_H14a zenon_H4b zenon_H212 zenon_H5b zenon_H5a zenon_H59 zenon_H31a zenon_H31b. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H172 | zenon_intro zenon_H1cd ]. % 1.22/1.47 apply (zenon_L360_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H149 | zenon_intro zenon_Hd1 ]. % 1.22/1.47 apply (zenon_L76_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H172 | zenon_intro zenon_H2d2 ]. % 1.22/1.47 apply (zenon_L360_); trivial. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.22/1.47 apply (zenon_L19_); trivial. % 1.22/1.47 apply (zenon_L808_); trivial. % 1.22/1.47 (* end of lemma zenon_L1235_ *) % 1.22/1.47 assert (zenon_L1236_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> False). % 1.22/1.47 do 0 intro. intros zenon_Hdd zenon_H53 zenon_H1cc zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_He2 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1d zenon_H23. % 1.22/1.47 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.22/1.47 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.22/1.47 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.47 apply (zenon_L126_); trivial. % 1.22/1.47 apply (zenon_L434_); trivial. % 1.22/1.47 (* end of lemma zenon_L1236_ *) % 1.22/1.47 assert (zenon_L1237_ : ((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c0_1 X57))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> (~(c1_1 (a360))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H135 zenon_H136 zenon_H1e3 zenon_H52 zenon_H227 zenon_H53 zenon_H1cc zenon_H160 zenon_H4b zenon_H14b zenon_H14c zenon_H14a zenon_H1cf zenon_H1ce zenon_H212 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H23 zenon_H1d0 zenon_H134 zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H137. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.47 apply (zenon_L727_); trivial. % 1.22/1.47 apply (zenon_L724_); trivial. % 1.22/1.47 apply (zenon_L1236_); trivial. % 1.22/1.47 apply (zenon_L516_); trivial. % 1.22/1.47 apply (zenon_L113_); trivial. % 1.22/1.47 apply (zenon_L738_); trivial. % 1.22/1.47 (* end of lemma zenon_L1237_ *) % 1.22/1.47 assert (zenon_L1238_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a358)) -> (~(c1_1 (a364))) -> (~(c0_1 (a364))) -> (c2_1 (a364)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H19d zenon_H207 zenon_H205 zenon_H1d0 zenon_H2d7 zenon_H2d6 zenon_H2d8 zenon_H134 zenon_H1cf zenon_H1ce zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H10 zenon_H12d zenon_H3e zenon_H53 zenon_H1c1 zenon_H137. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.47 apply (zenon_L731_); trivial. % 1.22/1.47 apply (zenon_L400_); trivial. % 1.22/1.47 (* end of lemma zenon_L1238_ *) % 1.22/1.47 assert (zenon_L1239_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a387))) -> (~(c1_1 (a387))) -> (~(c2_1 (a387))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H2c6 zenon_H1f zenon_H1b zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H5 zenon_H10c zenon_H10 zenon_H42 zenon_H43 zenon_H44 zenon_H209 zenon_H20a zenon_H20b zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.22/1.47 apply (zenon_L1006_); trivial. % 1.22/1.47 apply (zenon_L719_); trivial. % 1.22/1.47 (* end of lemma zenon_L1239_ *) % 1.22/1.47 assert (zenon_L1240_ : ((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H4d zenon_H53 zenon_H212 zenon_He2 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H20b zenon_H20a zenon_H209 zenon_H10c zenon_H5 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H2c6. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.22/1.47 apply (zenon_L1239_); trivial. % 1.22/1.47 apply (zenon_L142_); trivial. % 1.22/1.47 (* end of lemma zenon_L1240_ *) % 1.22/1.47 assert (zenon_L1241_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H52 zenon_H227 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H31a zenon_H327 zenon_H2c7 zenon_H10c zenon_H5 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H2c6 zenon_H23 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_He2 zenon_H212 zenon_H53. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.22/1.47 apply (zenon_L143_); trivial. % 1.22/1.47 apply (zenon_L1240_); trivial. % 1.22/1.47 (* end of lemma zenon_L1241_ *) % 1.22/1.47 assert (zenon_L1242_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H13a zenon_H137 zenon_H3e zenon_H3 zenon_H1c1 zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H1cc zenon_H14c zenon_H14b zenon_H14a zenon_H134. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.47 apply (zenon_L737_); trivial. % 1.22/1.47 apply (zenon_L730_); trivial. % 1.22/1.47 (* end of lemma zenon_L1242_ *) % 1.22/1.47 assert (zenon_L1243_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (ndr1_0) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H137 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H53 zenon_H212 zenon_He2 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2c6 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H52. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.47 apply (zenon_L1241_); trivial. % 1.22/1.47 apply (zenon_L113_); trivial. % 1.22/1.47 (* end of lemma zenon_L1243_ *) % 1.22/1.47 assert (zenon_L1244_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp28)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a410))/\((c2_1 (a410))/\(c3_1 (a410)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c0_1 X6))))))\/(hskp31))) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a387)))/\((~(c1_1 (a387)))/\(~(c2_1 (a387))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.22/1.47 do 0 intro. intros zenon_H214 zenon_H19d zenon_H137 zenon_H134 zenon_H3e zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H1c1 zenon_H12d zenon_H53 zenon_H212 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H23 zenon_H2c6 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H10c zenon_H2c7 zenon_H327 zenon_H31a zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H227 zenon_H52 zenon_H1e3 zenon_H136. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.22/1.47 apply (zenon_L1241_); trivial. % 1.22/1.47 apply (zenon_L730_); trivial. % 1.22/1.47 apply (zenon_L1242_); trivial. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.22/1.47 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.22/1.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.22/1.47 apply (zenon_L1243_); trivial. % 1.22/1.47 apply (zenon_L738_); trivial. % 1.22/1.47 (* end of lemma zenon_L1244_ *) % 1.22/1.47 assert (zenon_L1245_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H13a zenon_H137 zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H3 zenon_H3e zenon_H6a zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H273 zenon_H68 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H53 zenon_H54. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.47 apply (zenon_L740_); trivial. % 1.34/1.47 apply (zenon_L1201_); trivial. % 1.34/1.47 (* end of lemma zenon_L1245_ *) % 1.34/1.47 assert (zenon_L1246_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H13a zenon_H137 zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_Hcd zenon_H3 zenon_H3e zenon_H6a zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H273 zenon_H68 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H53 zenon_H54. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.47 apply (zenon_L740_); trivial. % 1.34/1.47 apply (zenon_L1212_); trivial. % 1.34/1.47 (* end of lemma zenon_L1246_ *) % 1.34/1.47 assert (zenon_L1247_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H136 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H137 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H1c1 zenon_H30a zenon_H12c zenon_H273 zenon_Hcd zenon_H54 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_H234 zenon_H53 zenon_H3e zenon_H3 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H261 zenon_H98 zenon_H303 zenon_H62 zenon_H148. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.47 apply (zenon_L1214_); trivial. % 1.34/1.47 apply (zenon_L1246_); trivial. % 1.34/1.47 (* end of lemma zenon_L1247_ *) % 1.34/1.47 assert (zenon_L1248_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (~(c2_1 (a353))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c3_1 (a363))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H145 zenon_H98 zenon_H17e zenon_H17c zenon_H6a zenon_H68 zenon_H173 zenon_H174 zenon_H175 zenon_H2a1 zenon_H31b zenon_H31a zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1b8 zenon_H1b9 zenon_H1ba zenon_H1c1 zenon_H2d1 zenon_H87. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.47 apply (zenon_L854_); trivial. % 1.34/1.47 apply (zenon_L90_); trivial. % 1.34/1.47 (* end of lemma zenon_L1248_ *) % 1.34/1.47 assert (zenon_L1249_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((hskp21)\/((hskp18)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H137 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H1c1 zenon_H30a zenon_H12c zenon_H273 zenon_Hcd zenon_H54 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H6a zenon_H68 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H53 zenon_H3e zenon_H3 zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H2a1 zenon_H134 zenon_H260 zenon_H87 zenon_H2e7 zenon_H261 zenon_H98. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.47 apply (zenon_L743_); trivial. % 1.34/1.47 apply (zenon_L1145_); trivial. % 1.34/1.47 apply (zenon_L979_); trivial. % 1.34/1.47 apply (zenon_L1212_); trivial. % 1.34/1.47 (* end of lemma zenon_L1249_ *) % 1.34/1.47 assert (zenon_L1250_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a359))) -> (~(c1_1 (a359))) -> (~(c0_1 (a359))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H13d zenon_H98 zenon_H17e zenon_H17c zenon_H175 zenon_H174 zenon_H173 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1c1 zenon_H1ba zenon_H1b9 zenon_H1b8 zenon_H12d zenon_Hd0 zenon_H2cb zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H54 zenon_H68 zenon_H6a zenon_H3e zenon_H3 zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.47 apply (zenon_L751_); trivial. % 1.34/1.47 apply (zenon_L1019_); trivial. % 1.34/1.47 apply (zenon_L90_); trivial. % 1.34/1.47 (* end of lemma zenon_L1250_ *) % 1.34/1.47 assert (zenon_L1251_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H148 zenon_H62 zenon_H303 zenon_H98 zenon_H261 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H3 zenon_H3e zenon_H53 zenon_H234 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H54 zenon_Hcd zenon_H273 zenon_H12c zenon_H30a zenon_H1c1 zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H137. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.47 apply (zenon_L1249_); trivial. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.47 apply (zenon_L766_); trivial. % 1.34/1.47 apply (zenon_L1250_); trivial. % 1.34/1.47 (* end of lemma zenon_L1251_ *) % 1.34/1.47 assert (zenon_L1252_ : ((ndr1_0)/\((~(c0_1 (a366)))/\((~(c2_1 (a366)))/\(~(c3_1 (a366)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a382))/\((~(c0_1 (a382)))/\(~(c2_1 (a382))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(hskp6)) -> ((hskp21)\/((hskp18)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H214 zenon_H19d zenon_H148 zenon_H62 zenon_H303 zenon_H98 zenon_H261 zenon_H2e7 zenon_H87 zenon_H260 zenon_H134 zenon_H2a1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H12d zenon_H3e zenon_H53 zenon_H234 zenon_H2cb zenon_Hd0 zenon_H68 zenon_H6a zenon_H212 zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H171 zenon_H54 zenon_Hcd zenon_H273 zenon_H12c zenon_H30a zenon_H1c1 zenon_H173 zenon_H174 zenon_H175 zenon_H17c zenon_H17e zenon_H137 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H136. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.47 apply (zenon_L1251_); trivial. % 1.34/1.47 apply (zenon_L1246_); trivial. % 1.34/1.47 apply (zenon_L771_); trivial. % 1.34/1.47 (* end of lemma zenon_L1252_ *) % 1.34/1.47 assert (zenon_L1253_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H13a zenon_H137 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H53 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H12d zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H173 zenon_H174 zenon_H175 zenon_H14a zenon_H14b zenon_H14c zenon_H1cc zenon_H134. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.47 apply (zenon_L781_); trivial. % 1.34/1.47 apply (zenon_L113_); trivial. % 1.34/1.47 (* end of lemma zenon_L1253_ *) % 1.34/1.47 assert (zenon_L1254_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H260 zenon_H134 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H87. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.47 apply (zenon_L609_); trivial. % 1.34/1.47 apply (zenon_L1019_); trivial. % 1.34/1.47 (* end of lemma zenon_L1254_ *) % 1.34/1.47 assert (zenon_L1255_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H54 zenon_H53 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H303 zenon_H250 zenon_H281 zenon_H280 zenon_H27f zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H273 zenon_H68 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.47 apply (zenon_L654_); trivial. % 1.34/1.47 apply (zenon_L749_); trivial. % 1.34/1.47 (* end of lemma zenon_L1255_ *) % 1.34/1.47 assert (zenon_L1256_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H87 zenon_H54 zenon_H53 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H303 zenon_H281 zenon_H280 zenon_H27f zenon_H5b zenon_H5a zenon_H59 zenon_H10 zenon_H273 zenon_H68 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_Hb zenon_H1a6 zenon_H2a1 zenon_H114 zenon_H113 zenon_H12d zenon_H5 zenon_H293 zenon_Hf1 zenon_H134 zenon_H260. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.47 apply (zenon_L1255_); trivial. % 1.34/1.47 apply (zenon_L616_); trivial. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.47 apply (zenon_L1255_); trivial. % 1.34/1.47 apply (zenon_L566_); trivial. % 1.34/1.47 (* end of lemma zenon_L1256_ *) % 1.34/1.47 assert (zenon_L1257_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp21)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H54 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_Hcd zenon_H273 zenon_H68 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_Hf1 zenon_Hb zenon_H64 zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H30a zenon_H250 zenon_H153 zenon_H2cb zenon_Hd0. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.34/1.47 apply (zenon_L599_); trivial. % 1.34/1.47 apply (zenon_L546_); trivial. % 1.34/1.47 apply (zenon_L384_); trivial. % 1.34/1.47 apply (zenon_L749_); trivial. % 1.34/1.47 (* end of lemma zenon_L1257_ *) % 1.34/1.47 assert (zenon_L1258_ : ((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp20)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c2_1 (a379)) -> (~(c3_1 (a379))) -> (~(c1_1 (a379))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H84 zenon_H260 zenon_H134 zenon_H12d zenon_H113 zenon_H114 zenon_H2a1 zenon_Hd0 zenon_H2cb zenon_H153 zenon_H30a zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H22 zenon_H21 zenon_H20 zenon_H68 zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H54. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.47 apply (zenon_L750_); trivial. % 1.34/1.47 apply (zenon_L566_); trivial. % 1.34/1.47 (* end of lemma zenon_L1258_ *) % 1.34/1.47 assert (zenon_L1259_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H25d zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H297 zenon_H205 zenon_H165 zenon_H164 zenon_H163 zenon_H281 zenon_H280 zenon_H27f zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.47 apply (zenon_L274_); trivial. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.47 apply (zenon_L192_); trivial. % 1.34/1.47 apply (zenon_L489_); trivial. % 1.34/1.47 apply (zenon_L826_); trivial. % 1.34/1.47 (* end of lemma zenon_L1259_ *) % 1.34/1.47 assert (zenon_L1260_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H16e zenon_H260 zenon_H297 zenon_H205 zenon_H281 zenon_H280 zenon_H27f zenon_H113 zenon_H114 zenon_H2a1 zenon_H53 zenon_H303 zenon_H5b zenon_H5a zenon_H59 zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.47 apply (zenon_L1136_); trivial. % 1.34/1.47 apply (zenon_L1259_); trivial. % 1.34/1.47 (* end of lemma zenon_L1260_ *) % 1.34/1.47 assert (zenon_L1261_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H13a zenon_H137 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H12d zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_H260 zenon_H2a1 zenon_H114 zenon_H113 zenon_Hcd zenon_H12c zenon_Hf1 zenon_Hb zenon_H30a zenon_H2cb zenon_Hd0 zenon_H87 zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.47 apply (zenon_L631_); trivial. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.47 apply (zenon_L637_); trivial. % 1.34/1.47 apply (zenon_L1019_); trivial. % 1.34/1.47 (* end of lemma zenon_L1261_ *) % 1.34/1.47 assert (zenon_L1262_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp21)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.34/1.47 do 0 intro. intros zenon_H25d zenon_H134 zenon_H2a1 zenon_Hcd zenon_H273 zenon_H68 zenon_H20 zenon_H21 zenon_H22 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_Hf1 zenon_Hb zenon_H64 zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.34/1.47 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.47 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.47 apply (zenon_L1148_); trivial. % 1.34/1.47 apply (zenon_L251_); trivial. % 1.34/1.47 apply (zenon_L606_); trivial. % 1.34/1.47 (* end of lemma zenon_L1262_ *) % 1.34/1.47 assert (zenon_L1263_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H13d zenon_H171 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H205 zenon_H297 zenon_H260 zenon_H134 zenon_H2a1 zenon_Hcd zenon_H273 zenon_H68 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H12c zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_Hf1 zenon_Hb zenon_H281 zenon_H280 zenon_H27f zenon_H82 zenon_H54 zenon_H234 zenon_H1 zenon_He2 zenon_H2cb zenon_Hd0 zenon_H114 zenon_H113 zenon_H12d zenon_H87. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_L605_); trivial. % 1.34/1.48 apply (zenon_L1262_); trivial. % 1.34/1.48 apply (zenon_L608_); trivial. % 1.34/1.48 apply (zenon_L834_); trivial. % 1.34/1.48 (* end of lemma zenon_L1263_ *) % 1.34/1.48 assert (zenon_L1264_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(c1_1 (a376))) -> (~(c2_1 (a376))) -> (c0_1 (a376)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H13d zenon_H171 zenon_H297 zenon_H205 zenon_H301 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H260 zenon_H134 zenon_H2a1 zenon_H6d zenon_H6e zenon_H6f zenon_Hb1 zenon_H82 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H27f zenon_H280 zenon_H281 zenon_Hb zenon_Hf1 zenon_H12c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H68 zenon_H273 zenon_Hcd zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H59 zenon_H5a zenon_H5b zenon_H303 zenon_H53 zenon_H54 zenon_H114 zenon_H113 zenon_H12d zenon_H87. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_L1257_); trivial. % 1.34/1.48 apply (zenon_L1262_); trivial. % 1.34/1.48 apply (zenon_L1258_); trivial. % 1.34/1.48 apply (zenon_L1260_); trivial. % 1.34/1.48 (* end of lemma zenon_L1264_ *) % 1.34/1.48 assert (zenon_L1265_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a395))/\((~(c0_1 (a395)))/\(~(c2_1 (a395))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H13a zenon_H137 zenon_H171 zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H260 zenon_H2a1 zenon_H114 zenon_H113 zenon_Hcd zenon_H12c zenon_Hf1 zenon_Hb zenon_H30a zenon_H2cb zenon_Hd0 zenon_H87 zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L631_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_L637_); trivial. % 1.34/1.48 apply (zenon_L1142_); trivial. % 1.34/1.48 (* end of lemma zenon_L1265_ *) % 1.34/1.48 assert (zenon_L1266_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H54 zenon_H53 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_H1a6 zenon_Hb zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H68 zenon_H273 zenon_H281 zenon_H280 zenon_H27f zenon_He2 zenon_H212. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_L1160_); trivial. % 1.34/1.48 apply (zenon_L408_); trivial. % 1.34/1.48 (* end of lemma zenon_L1266_ *) % 1.34/1.48 assert (zenon_L1267_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a369))/\((c3_1 (a369))/\(~(c2_1 (a369))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> (~(hskp8)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((hskp12)\/(hskp8))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H19d zenon_H140 zenon_H205 zenon_H297 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1b3 zenon_H2b4 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_H10 zenon_H53 zenon_H3e zenon_H301 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H12d zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L1130_); trivial. % 1.34/1.48 apply (zenon_L945_); trivial. % 1.34/1.48 (* end of lemma zenon_L1267_ *) % 1.34/1.48 assert (zenon_L1268_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c1_1 (a388)) -> (~(c3_1 (a388))) -> (~(c2_1 (a388))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H1f zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H301 zenon_H165 zenon_H164 zenon_H163 zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H27f zenon_H280 zenon_H281 zenon_H132 zenon_H2ad zenon_H2ac zenon_H2ab zenon_H10 zenon_H1b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H11 | zenon_intro zenon_H24 ]. % 1.34/1.48 apply (zenon_L676_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H25 | zenon_intro zenon_H1c ]. % 1.34/1.48 apply (zenon_L319_); trivial. % 1.34/1.48 exact (zenon_H1b zenon_H1c). % 1.34/1.48 (* end of lemma zenon_L1268_ *) % 1.34/1.48 assert (zenon_L1269_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(c1_1 (a360))) -> (~(c2_1 (a360))) -> (~(c3_1 (a360))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H171 zenon_H53 zenon_H3e zenon_H3 zenon_H132 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H14a zenon_H14b zenon_H14c zenon_H155. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_L273_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.48 apply (zenon_L1268_); trivial. % 1.34/1.48 apply (zenon_L14_); trivial. % 1.34/1.48 (* end of lemma zenon_L1269_ *) % 1.34/1.48 assert (zenon_L1270_ : ((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> False). % 1.34/1.48 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H132 zenon_H27f zenon_H280 zenon_H281 zenon_Hc8 zenon_H5 zenon_H293 zenon_H6d zenon_H6e zenon_H6f zenon_Haf zenon_Hb1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H10. zenon_intro zenon_Hce. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hb4. zenon_intro zenon_Hcf. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.34/1.48 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Had | zenon_intro zenon_Hc7 ]. % 1.34/1.48 apply (zenon_L45_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H10. zenon_intro zenon_Hc9. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hca. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_Hbf. zenon_intro zenon_Hc0. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H83 ]. % 1.34/1.48 apply (zenon_L1132_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc ]. % 1.34/1.48 apply (zenon_L786_); trivial. % 1.34/1.48 exact (zenon_Hb zenon_Hc). % 1.34/1.48 (* end of lemma zenon_L1270_ *) % 1.34/1.48 assert (zenon_L1271_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (~(c3_1 (a363))) -> (c2_1 (a363)) -> (c1_1 (a363)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H16e zenon_H134 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H234 zenon_H1 zenon_He2 zenon_Hb1 zenon_H6f zenon_H6e zenon_H6d zenon_H293 zenon_H5 zenon_Hc8 zenon_H281 zenon_H280 zenon_H27f zenon_H132 zenon_H1b8 zenon_H1ba zenon_H1b9 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H10c zenon_Hb zenon_H82 zenon_Hcd zenon_Hd0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.34/1.48 apply (zenon_L166_); trivial. % 1.34/1.48 apply (zenon_L1270_); trivial. % 1.34/1.48 apply (zenon_L826_); trivial. % 1.34/1.48 (* end of lemma zenon_L1271_ *) % 1.34/1.48 assert (zenon_L1272_ : ((ndr1_0)/\((c2_1 (a368))/\((c3_1 (a368))/\(~(c1_1 (a368)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/(hskp20))) -> (~(c3_1 (a360))) -> (~(c2_1 (a360))) -> (~(c1_1 (a360))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp30)\/(hskp23))) -> ((hskp29)\/((hskp13)\/(hskp15))) -> (~(c2_1 (a353))) -> (c0_1 (a353)) -> (c1_1 (a353)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H19f zenon_H136 zenon_H1c1 zenon_H137 zenon_H12d zenon_H12c zenon_H205 zenon_H297 zenon_H155 zenon_H14c zenon_H14b zenon_H14a zenon_H281 zenon_H280 zenon_H27f zenon_Hd0 zenon_Hcd zenon_H82 zenon_Hb zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H132 zenon_Hc8 zenon_H293 zenon_Hb1 zenon_H234 zenon_H31a zenon_H327 zenon_H31b zenon_H32f zenon_H134 zenon_H171 zenon_H260 zenon_H2a1 zenon_H53 zenon_H303 zenon_H301 zenon_H148. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_L273_); trivial. % 1.34/1.48 apply (zenon_L1271_); trivial. % 1.34/1.48 apply (zenon_L1135_); trivial. % 1.34/1.48 apply (zenon_L1141_); trivial. % 1.34/1.48 apply (zenon_L646_); trivial. % 1.34/1.48 (* end of lemma zenon_L1272_ *) % 1.34/1.48 assert (zenon_L1273_ : (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H5 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H256 zenon_H255 zenon_H254 zenon_H293 zenon_H68 zenon_H9 zenon_H1c1 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H273 zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L615_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L1083_); trivial. % 1.34/1.48 apply (zenon_L489_); trivial. % 1.34/1.48 (* end of lemma zenon_L1273_ *) % 1.34/1.48 assert (zenon_L1274_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34)))))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (~(c2_1 (a398))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> (~(hskp6)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp16)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H293 zenon_H78 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H10 zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H9 zenon_H68 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_H5. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.34/1.48 apply (zenon_L249_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.34/1.48 apply (zenon_L1178_); trivial. % 1.34/1.48 exact (zenon_H5 zenon_H6). % 1.34/1.48 (* end of lemma zenon_L1274_ *) % 1.34/1.48 assert (zenon_L1275_ : (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H5 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H293 zenon_H68 zenon_H9 zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H273 zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L1274_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L1083_); trivial. % 1.34/1.48 apply (zenon_L51_); trivial. % 1.34/1.48 (* end of lemma zenon_L1275_ *) % 1.34/1.48 assert (zenon_L1276_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.34/1.48 do 0 intro. intros zenon_Hdd zenon_H54 zenon_H53 zenon_H3e zenon_H3 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_H1c1 zenon_H2f0 zenon_H2ee zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H68 zenon_H273 zenon_H5 zenon_H293 zenon_H1b5 zenon_H1b3 zenon_H1b1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1275_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1275_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L284_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 apply (zenon_L321_); trivial. % 1.34/1.48 (* end of lemma zenon_L1276_ *) % 1.34/1.48 assert (zenon_L1277_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H25d zenon_H134 zenon_H1b1 zenon_H1b3 zenon_H1b5 zenon_H293 zenon_H5 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H273 zenon_H68 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H3 zenon_H3e zenon_H53 zenon_H54. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1273_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1273_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L284_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 apply (zenon_L321_); trivial. % 1.34/1.48 apply (zenon_L1276_); trivial. % 1.34/1.48 (* end of lemma zenon_L1277_ *) % 1.34/1.48 assert (zenon_L1278_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c1_1 (a379))) -> (~(c3_1 (a379))) -> (c2_1 (a379)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> (~(hskp6)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H10 zenon_H2ee zenon_H2f0 zenon_H20 zenon_H21 zenon_H22 zenon_H1c1 zenon_H9 zenon_H68. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H111 | zenon_intro zenon_H274 ]. % 1.34/1.48 apply (zenon_L483_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_Ha | zenon_intro zenon_H69 ]. % 1.34/1.48 exact (zenon_H9 zenon_Ha). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 (* end of lemma zenon_L1278_ *) % 1.34/1.48 assert (zenon_L1279_ : ((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> (~(hskp11)) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H13d zenon_H54 zenon_H53 zenon_H3e zenon_H3 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H273 zenon_H68 zenon_H2ee zenon_H2f0 zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H1c1 zenon_H1b5 zenon_H1b3 zenon_H281 zenon_H280 zenon_H27f zenon_H1b1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1278_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1278_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L284_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 apply (zenon_L321_); trivial. % 1.34/1.48 (* end of lemma zenon_L1279_ *) % 1.34/1.48 assert (zenon_L1280_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp16)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H2a1 zenon_H5 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H68 zenon_H9 zenon_H1c1 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H273 zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L264_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L1083_); trivial. % 1.34/1.48 apply (zenon_L489_); trivial. % 1.34/1.48 (* end of lemma zenon_L1280_ *) % 1.34/1.48 assert (zenon_L1281_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c3_1 (a370))) -> (c0_1 (a370)) -> (c2_1 (a370)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> False). % 1.34/1.48 do 0 intro. intros zenon_Hdd zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H256 zenon_H255 zenon_H254. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L306_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L192_); trivial. % 1.34/1.48 apply (zenon_L51_); trivial. % 1.34/1.48 (* end of lemma zenon_L1281_ *) % 1.34/1.48 assert (zenon_L1282_ : ((ndr1_0)/\((c0_1 (a370))/\((c2_1 (a370))/\(~(c3_1 (a370)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((hskp29)\/(hskp30))) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X47 : zenon_U, ((ndr1_0)->((~(c0_1 X47))\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/(forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a373))/\((c1_1 (a373))/\(c3_1 (a373)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp16))) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H13a zenon_H137 zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H3 zenon_H3e zenon_H53 zenon_Hd0 zenon_H2cb zenon_H30a zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1e3 zenon_H12c zenon_Hcd zenon_H2a1 zenon_H114 zenon_H113 zenon_H12d zenon_H134 zenon_H260 zenon_H27f zenon_H280 zenon_H281 zenon_H10c zenon_H2f0 zenon_H2ee zenon_H2fa zenon_H132. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L631_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hcc ]. % 1.34/1.48 apply (zenon_L666_); trivial. % 1.34/1.48 apply (zenon_L384_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L306_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L192_); trivial. % 1.34/1.48 apply (zenon_L489_); trivial. % 1.34/1.48 apply (zenon_L1281_); trivial. % 1.34/1.48 apply (zenon_L1019_); trivial. % 1.34/1.48 (* end of lemma zenon_L1282_ *) % 1.34/1.48 assert (zenon_L1283_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp23)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H3d zenon_H1b1 zenon_H1b3 zenon_H12d zenon_H113 zenon_H114 zenon_H6e zenon_H6f zenon_H6d zenon_Haf zenon_H2a1 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H1c1 zenon_H261 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H5 zenon_H1b5 zenon_H68. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L293_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L293_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L345_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 (* end of lemma zenon_L1283_ *) % 1.34/1.48 assert (zenon_L1284_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H55 zenon_H53 zenon_H1b1 zenon_H68 zenon_H12d zenon_Haf zenon_H113 zenon_H114 zenon_H1b3 zenon_H1b5 zenon_H293 zenon_H5 zenon_H281 zenon_H280 zenon_H27f zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H261 zenon_H2a1 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.48 apply (zenon_L320_); trivial. % 1.34/1.48 apply (zenon_L1283_); trivial. % 1.34/1.48 (* end of lemma zenon_L1284_ *) % 1.34/1.48 assert (zenon_L1285_ : (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp6)) -> (~(hskp24)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H5 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H68 zenon_H9 zenon_H2f0 zenon_H2ee zenon_H273 zenon_H293 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L1274_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L174_); trivial. % 1.34/1.48 apply (zenon_L51_); trivial. % 1.34/1.48 (* end of lemma zenon_L1285_ *) % 1.34/1.48 assert (zenon_L1286_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp24)) -> (c3_1 (a355)) -> (~(c1_1 (a355))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H1b1 zenon_H1b3 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H2a1 zenon_H9 zenon_H2f0 zenon_H2ee zenon_H273 zenon_H293 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_H1b5 zenon_H68. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1285_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1285_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L284_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 (* end of lemma zenon_L1286_ *) % 1.34/1.48 assert (zenon_L1287_ : ((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp16)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H3d zenon_H2a1 zenon_H5 zenon_H27f zenon_H280 zenon_H281 zenon_H293 zenon_H256 zenon_H255 zenon_H254 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L289_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L192_); trivial. % 1.34/1.48 apply (zenon_L51_); trivial. % 1.34/1.48 (* end of lemma zenon_L1287_ *) % 1.34/1.48 assert (zenon_L1288_ : ((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a398)) -> (c1_1 (a398)) -> (~(c2_1 (a398))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H55 zenon_H53 zenon_H2a1 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H256 zenon_H255 zenon_H254 zenon_H27f zenon_H280 zenon_H281 zenon_H5 zenon_H293 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.48 apply (zenon_L320_); trivial. % 1.34/1.48 apply (zenon_L1287_); trivial. % 1.34/1.48 (* end of lemma zenon_L1288_ *) % 1.34/1.48 assert (zenon_L1289_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> (~(c1_1 (a368))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H25d zenon_H134 zenon_H1b1 zenon_H6e zenon_H6f zenon_H6d zenon_H1b3 zenon_H1b5 zenon_H293 zenon_H5 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H273 zenon_H68 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H1c1 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H261 zenon_H53 zenon_H54. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1273_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1273_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L345_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 apply (zenon_L1284_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_L1286_); trivial. % 1.34/1.48 apply (zenon_L1288_); trivial. % 1.34/1.48 (* end of lemma zenon_L1289_ *) % 1.34/1.48 assert (zenon_L1290_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H2a1 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H6d zenon_H6e zenon_H6f zenon_H1c1 zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L263_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L174_); trivial. % 1.34/1.48 apply (zenon_L489_); trivial. % 1.34/1.48 (* end of lemma zenon_L1290_ *) % 1.34/1.48 assert (zenon_L1291_ : (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a368))) -> (c2_1 (a368)) -> (c3_1 (a368)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp6)) -> (~(hskp24)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H5 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H6d zenon_H6e zenon_H6f zenon_H293 zenon_H68 zenon_H9 zenon_H1c1 zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H273 zenon_H12d zenon_H113 zenon_H114 zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H10 zenon_Haf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_He6 | zenon_intro zenon_H262 ]. % 1.34/1.48 apply (zenon_L249_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.34/1.48 apply (zenon_L1290_); trivial. % 1.34/1.48 exact (zenon_H5 zenon_H6). % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L1083_); trivial. % 1.34/1.48 apply (zenon_L489_); trivial. % 1.34/1.48 (* end of lemma zenon_L1291_ *) % 1.34/1.48 assert (zenon_L1292_ : ((ndr1_0)/\((c0_1 (a376))/\((~(c1_1 (a376)))/\(~(c2_1 (a376)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a379))/\((~(c1_1 (a379)))/\(~(c3_1 (a379))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> (c2_1 (a356)) -> (c0_1 (a356)) -> (~(c1_1 (a356))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H145 zenon_H137 zenon_H134 zenon_H303 zenon_H1b1 zenon_H1b3 zenon_H1b5 zenon_H293 zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1ce zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H281 zenon_H280 zenon_H27f zenon_H273 zenon_H68 zenon_H1f zenon_H2ad zenon_H2ac zenon_H2ab zenon_H261 zenon_H53 zenon_H54 zenon_H260. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1291_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1291_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L284_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 apply (zenon_L1284_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_L1286_); trivial. % 1.34/1.48 apply (zenon_L749_); trivial. % 1.34/1.48 apply (zenon_L1289_); trivial. % 1.34/1.48 apply (zenon_L296_); trivial. % 1.34/1.48 (* end of lemma zenon_L1292_ *) % 1.34/1.48 assert (zenon_L1293_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (~(c0_1 (a357))) -> (c2_1 (a397)) -> (c1_1 (a397)) -> (~(c0_1 (a397))) -> (ndr1_0) -> (~(c2_1 (a398))) -> (c1_1 (a398)) -> (c3_1 (a398)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H2a1 zenon_H281 zenon_H280 zenon_H33 zenon_H27f zenon_H256 zenon_H255 zenon_H254 zenon_H10 zenon_Hd2 zenon_Hd3 zenon_Hd4. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L263_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L192_); trivial. % 1.34/1.48 apply (zenon_L51_); trivial. % 1.34/1.48 (* end of lemma zenon_L1293_ *) % 1.34/1.48 assert (zenon_L1294_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(c0_1 (a397))) -> (c1_1 (a397)) -> (c2_1 (a397)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> False). % 1.34/1.48 do 0 intro. intros zenon_Hdd zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H254 zenon_H255 zenon_H256 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_He2. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.34/1.48 apply (zenon_L141_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.34/1.48 apply (zenon_L1293_); trivial. % 1.34/1.48 exact (zenon_He2 zenon_He3). % 1.34/1.48 (* end of lemma zenon_L1294_ *) % 1.34/1.48 assert (zenon_L1295_ : ((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> (~(c0_1 (a366))) -> (~(c2_1 (a366))) -> (~(c3_1 (a366))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(hskp13)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H25d zenon_H134 zenon_H209 zenon_H20a zenon_H20b zenon_H2a1 zenon_H114 zenon_H113 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H12d zenon_H281 zenon_H280 zenon_H27f zenon_He2 zenon_H212. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.34/1.48 apply (zenon_L141_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.34/1.48 apply (zenon_L614_); trivial. % 1.34/1.48 exact (zenon_He2 zenon_He3). % 1.34/1.48 apply (zenon_L1294_); trivial. % 1.34/1.48 (* end of lemma zenon_L1295_ *) % 1.34/1.48 assert (zenon_L1296_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X104 : zenon_U, ((ndr1_0)->((c2_1 X104)\/((~(c0_1 X104))\/(~(c1_1 X104))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a353)) -> (c0_1 (a353)) -> (~(c2_1 (a353))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a372))/\((c1_1 (a372))/\(c2_1 (a372)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp22)\/(hskp20))) -> (~(hskp13)) -> (~(hskp15)) -> ((hskp29)\/((hskp13)\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> (c3_1 (a355)) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a369)) -> (~(c2_1 (a369))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a397))/\((c2_1 (a397))/\(~(c0_1 (a397))))))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H171 zenon_H32f zenon_H31b zenon_H327 zenon_H31a zenon_H301 zenon_H53 zenon_Hd0 zenon_H2cb zenon_He2 zenon_H1 zenon_H234 zenon_H212 zenon_H27f zenon_H280 zenon_H281 zenon_H12d zenon_H2f0 zenon_H2fa zenon_H2ee zenon_H113 zenon_H114 zenon_H2a1 zenon_H20b zenon_H20a zenon_H209 zenon_H134 zenon_H260. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_L605_); trivial. % 1.34/1.48 apply (zenon_L1295_); trivial. % 1.34/1.48 apply (zenon_L1145_); trivial. % 1.34/1.48 (* end of lemma zenon_L1296_ *) % 1.34/1.48 assert (zenon_L1297_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> (~(hskp6)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H114 zenon_H113 zenon_H12d zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H1cf zenon_H1c1 zenon_H9 zenon_H68 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_He2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.34/1.48 apply (zenon_L141_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H78 | zenon_intro zenon_H2a2 ]. % 1.34/1.48 apply (zenon_L263_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H22c | zenon_intro zenon_Hd1 ]. % 1.34/1.48 apply (zenon_L1083_); trivial. % 1.34/1.48 apply (zenon_L489_); trivial. % 1.34/1.48 exact (zenon_He2 zenon_He3). % 1.34/1.48 (* end of lemma zenon_L1297_ *) % 1.34/1.48 assert (zenon_L1298_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(hskp23)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (c2_1 (a358)) -> (~(c0_1 (a358))) -> (~(c3_1 (a358))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp24)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H1b1 zenon_H1b3 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H114 zenon_H113 zenon_H12d zenon_H273 zenon_H1d0 zenon_H1ce zenon_H1cf zenon_H1c1 zenon_H9 zenon_H2a1 zenon_He2 zenon_H1b5 zenon_H68. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1297_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1297_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L284_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 (* end of lemma zenon_L1298_ *) % 1.34/1.48 assert (zenon_L1299_ : ((ndr1_0)/\((c1_1 (a398))/\((c3_1 (a398))/\(~(c2_1 (a398)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a399))/\((~(c0_1 (a399)))/\(~(c3_1 (a399))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a376)) -> (~(c2_1 (a376))) -> (~(c1_1 (a376))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.34/1.48 do 0 intro. intros zenon_Hdd zenon_H54 zenon_H53 zenon_H303 zenon_H250 zenon_H5b zenon_H5a zenon_H59 zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f zenon_H212 zenon_He2 zenon_H27f zenon_H280 zenon_H281 zenon_H273 zenon_H68 zenon_H1ce zenon_H1d0 zenon_H1cf zenon_H2ee zenon_H2f0 zenon_H1c1 zenon_H2a1 zenon_H20b zenon_H20a zenon_H209 zenon_H1b5 zenon_H1b3 zenon_H1b1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.34/1.48 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.48 apply (zenon_L1180_); trivial. % 1.34/1.48 apply (zenon_L749_); trivial. % 1.34/1.48 (* end of lemma zenon_L1299_ *) % 1.34/1.48 assert (zenon_L1300_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H10 zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H114 zenon_H113 zenon_H12d zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1a2 zenon_H1ce zenon_H1d0 zenon_H27f zenon_H280 zenon_H281 zenon_H2a1 zenon_He2. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.34/1.48 apply (zenon_L141_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.34/1.48 apply (zenon_L1290_); trivial. % 1.34/1.48 exact (zenon_He2 zenon_He3). % 1.34/1.48 (* end of lemma zenon_L1300_ *) % 1.34/1.48 assert (zenon_L1301_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a357))) -> (c1_1 (a357)) -> (c3_1 (a357)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(c3_1 X1)))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp13))) -> (~(c3_1 (a366))) -> (~(c2_1 (a366))) -> (~(c0_1 (a366))) -> (~(hskp23)) -> (~(c1_1 (a355))) -> (c0_1 (a355)) -> (c3_1 (a355)) -> (~(c2_1 (a369))) -> (c3_1 (a369)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c1_1 X88)\/((c3_1 X88)\/(~(c2_1 X88))))))\/((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a368)) -> (c2_1 (a368)) -> (~(c1_1 (a368))) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> (c2_1 (a358)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.34/1.48 do 0 intro. intros zenon_H1b1 zenon_H1b3 zenon_H10 zenon_H27f zenon_H280 zenon_H281 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H2ee zenon_H2fa zenon_H2f0 zenon_H114 zenon_H113 zenon_H12d zenon_H1c1 zenon_H6f zenon_H6e zenon_H6d zenon_H1cf zenon_H1ce zenon_H1d0 zenon_H2a1 zenon_He2 zenon_H1b5 zenon_H68. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.34/1.48 apply (zenon_L1300_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.34/1.48 apply (zenon_L1300_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.34/1.48 apply (zenon_L284_); trivial. % 1.34/1.48 exact (zenon_H1b3 zenon_H1b4). % 1.34/1.48 exact (zenon_H68 zenon_H69). % 1.34/1.48 (* end of lemma zenon_L1301_ *) % 1.34/1.48 assert (zenon_L1302_ : ((ndr1_0)/\((c1_1 (a388))/\((~(c2_1 (a388)))/\(~(c3_1 (a388)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a365))/\((c2_1 (a365))/\(c3_1 (a365)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c1_1 X34))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c1_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/(forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26)))))))) -> (c2_1 (a358)) -> (~(c3_1 (a358))) -> (~(c0_1 (a358))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c3_1 X12))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X26 : zenon_U, ((ndr1_0)->((~(c1_1 X26))\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c0_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/(forall X61 : zenon_U, ((ndr1_0)->((c3_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))))) -> (c1_1 (a363)) -> (c2_1 (a363)) -> (~(c3_1 (a363))) -> (c0_1 (a355)) -> (~(c1_1 (a355))) -> (c3_1 (a355)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((c3_1 X18)\/(~(c1_1 X18))))))\/((forall X49 : zenon_U, ((ndr1_0)->((~(c0_1 X49))\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp28))) -> (c3_1 (a357)) -> (c1_1 (a357)) -> (~(c0_1 (a357))) -> (~(c1_1 (a356))) -> (c0_1 (a356)) -> (c2_1 (a356)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c1_1 X35))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/(hskp28))) -> False). % 1.34/1.48 do 0 intro. intros zenon_H16e zenon_H53 zenon_H2a1 zenon_H205 zenon_H297 zenon_H1e3 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H261 zenon_H5 zenon_H293 zenon_H132 zenon_H1b9 zenon_H1ba zenon_H1b8 zenon_H2fa zenon_H2ee zenon_H2f0 zenon_H301 zenon_H281 zenon_H280 zenon_H27f zenon_H2ab zenon_H2ac zenon_H2ad zenon_H1f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.48 apply (zenon_L1268_); trivial. % 1.34/1.48 apply (zenon_L468_); trivial. % 1.34/1.48 (* end of lemma zenon_L1302_ *) % 1.34/1.48 apply NNPP. intro zenon_G. % 1.34/1.48 apply zenon_G. zenon_intro zenon_H33e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H340. zenon_intro zenon_H33f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H342. zenon_intro zenon_H341. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H344. zenon_intro zenon_H343. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H346. zenon_intro zenon_H345. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H348. zenon_intro zenon_H347. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34c. zenon_intro zenon_H34b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H34e. zenon_intro zenon_H34d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H1c6. zenon_intro zenon_H34f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H336. zenon_intro zenon_H350. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H217. zenon_intro zenon_H351. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H19d. zenon_intro zenon_H352. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H140. zenon_intro zenon_H353. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H136. zenon_intro zenon_H354. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H19e. zenon_intro zenon_H355. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H148. zenon_intro zenon_H356. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H137. zenon_intro zenon_H357. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H141. zenon_intro zenon_H358. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H98. zenon_intro zenon_H359. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H52. zenon_intro zenon_H35a. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H171. zenon_intro zenon_H35b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H87. zenon_intro zenon_H35c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H260. zenon_intro zenon_H35d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H134. zenon_intro zenon_H35e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H54. zenon_intro zenon_H35f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H203. zenon_intro zenon_H360. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H204. zenon_intro zenon_H361. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_Hf5. zenon_intro zenon_H362. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H53. zenon_intro zenon_H363. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_Hd0. zenon_intro zenon_H364. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_Hcd. zenon_intro zenon_H365. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H2c6. zenon_intro zenon_H366. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H232. zenon_intro zenon_H367. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H198. zenon_intro zenon_H368. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H227. zenon_intro zenon_H369. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H230. zenon_intro zenon_H36a. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H334. zenon_intro zenon_H36b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H21a. zenon_intro zenon_H36c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H4e. zenon_intro zenon_H36d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H9b. zenon_intro zenon_H36e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H17e. zenon_intro zenon_H36f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H1cc. zenon_intro zenon_H370. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H2d1. zenon_intro zenon_H371. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H1b1. zenon_intro zenon_H372. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H1b5. zenon_intro zenon_H373. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H2cf. zenon_intro zenon_H374. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H311. zenon_intro zenon_H375. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H207. zenon_intro zenon_H376. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H28d. zenon_intro zenon_H377. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H16c. zenon_intro zenon_H378. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H212. zenon_intro zenon_H379. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H82. zenon_intro zenon_H37a. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H30a. zenon_intro zenon_H37c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H184. zenon_intro zenon_H37d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H2e7. zenon_intro zenon_H37e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H28f. zenon_intro zenon_H37f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_Hc8. zenon_intro zenon_H380. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a6. zenon_intro zenon_H381. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H261. zenon_intro zenon_H382. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H95. zenon_intro zenon_H383. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H385. zenon_intro zenon_H384. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H62. zenon_intro zenon_H386. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H160. zenon_intro zenon_H387. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H1f. zenon_intro zenon_H388. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H1e3. zenon_intro zenon_H389. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H23. zenon_intro zenon_H38a. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H155. zenon_intro zenon_H38b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H132. zenon_intro zenon_H38c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H2b6. zenon_intro zenon_H38d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H38f. zenon_intro zenon_H38e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H297. zenon_intro zenon_H390. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H293. zenon_intro zenon_H391. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H10b. zenon_intro zenon_H392. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_Hf1. zenon_intro zenon_H393. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H303. zenon_intro zenon_H394. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H12d. zenon_intro zenon_H395. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H273. zenon_intro zenon_H396. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H398. zenon_intro zenon_H397. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H313. zenon_intro zenon_H399. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H308. zenon_intro zenon_H39a. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H1ff. zenon_intro zenon_H39b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H1c1. zenon_intro zenon_H39c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H12c. zenon_intro zenon_H39d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b4. zenon_intro zenon_H39e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2c7. zenon_intro zenon_H39f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_Hb1. zenon_intro zenon_H3a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H76. zenon_intro zenon_H3a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H2c9. zenon_intro zenon_H3a2. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H1f1. zenon_intro zenon_H3a3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H1e2. zenon_intro zenon_H3a4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a4). zenon_intro zenon_H32f. zenon_intro zenon_H3a5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a5). zenon_intro zenon_H301. zenon_intro zenon_H3a6. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a6). zenon_intro zenon_Hde. zenon_intro zenon_H3a7. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a7). zenon_intro zenon_Ha1. zenon_intro zenon_H3a8. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a8). zenon_intro zenon_H3aa. zenon_intro zenon_H3a9. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3a9). zenon_intro zenon_H10c. zenon_intro zenon_H3ab. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H3ad. zenon_intro zenon_H3ac. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H2cb. zenon_intro zenon_H3ae. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H252. zenon_intro zenon_H3af. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H318. zenon_intro zenon_H3b0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b0). zenon_intro zenon_H3b2. zenon_intro zenon_H3b1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_H30f. zenon_intro zenon_H3b3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3e. zenon_intro zenon_H3b4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H234. zenon_intro zenon_H3b5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H218. zenon_intro zenon_H3b6. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_Hf6. zenon_intro zenon_H3b7. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H7. zenon_intro zenon_H3b8. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H3ba. zenon_intro zenon_H3b9. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3b9). zenon_intro zenon_H6a. zenon_intro zenon_H3bb. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_Hd. zenon_intro zenon_H3bc. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H109 | zenon_intro zenon_H3bd ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H180 | zenon_intro zenon_H3be ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_Hdb | zenon_intro zenon_H3bf ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L4_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_L18_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.48 apply (zenon_L21_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_L73_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L75_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L85_); trivial. % 1.34/1.48 apply (zenon_L72_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_L103_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.48 apply (zenon_L116_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L75_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L85_); trivial. % 1.34/1.48 apply (zenon_L123_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_L148_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L163_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L178_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L182_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L145_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_L194_); trivial. % 1.34/1.48 apply (zenon_L196_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L178_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L145_); trivial. % 1.34/1.48 apply (zenon_L161_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L163_); trivial. % 1.34/1.48 apply (zenon_L200_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_L201_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L203_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_L204_); trivial. % 1.34/1.48 apply (zenon_L205_); trivial. % 1.34/1.48 apply (zenon_L206_); trivial. % 1.34/1.48 apply (zenon_L209_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L203_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L210_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.48 apply (zenon_L95_); trivial. % 1.34/1.48 apply (zenon_L215_); trivial. % 1.34/1.48 apply (zenon_L220_); trivial. % 1.34/1.48 apply (zenon_L140_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L203_); trivial. % 1.34/1.48 apply (zenon_L228_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_L242_); trivial. % 1.34/1.48 apply (zenon_L248_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L203_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L178_); trivial. % 1.34/1.48 apply (zenon_L206_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_L270_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L271_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_L275_); trivial. % 1.34/1.48 apply (zenon_L276_); trivial. % 1.34/1.48 apply (zenon_L281_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_L103_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L256_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.48 apply (zenon_L95_); trivial. % 1.34/1.48 apply (zenon_L111_); trivial. % 1.34/1.48 apply (zenon_L276_); trivial. % 1.34/1.48 apply (zenon_L283_); trivial. % 1.34/1.48 apply (zenon_L287_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_L301_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_L275_); trivial. % 1.34/1.48 apply (zenon_L140_); trivial. % 1.34/1.48 apply (zenon_L302_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_L310_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_L315_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L312_); trivial. % 1.34/1.48 apply (zenon_L316_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_L242_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L312_); trivial. % 1.34/1.48 apply (zenon_L317_); trivial. % 1.34/1.48 apply (zenon_L318_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H10. zenon_intro zenon_H3c9. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H2ac. zenon_intro zenon_H3ca. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H2ad. zenon_intro zenon_H2ab. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L322_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L323_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L58_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L330_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.48 apply (zenon_L334_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L338_); trivial. % 1.34/1.48 apply (zenon_L17_); trivial. % 1.34/1.48 apply (zenon_L342_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L322_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L58_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L330_); trivial. % 1.34/1.48 apply (zenon_L113_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L288_); trivial. % 1.34/1.48 apply (zenon_L349_); trivial. % 1.34/1.48 apply (zenon_L350_); trivial. % 1.34/1.48 apply (zenon_L353_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L356_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L323_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L362_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L145_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_L363_); trivial. % 1.34/1.48 apply (zenon_L361_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L356_); trivial. % 1.34/1.48 apply (zenon_L364_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_L201_); trivial. % 1.34/1.48 apply (zenon_L350_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L375_); trivial. % 1.34/1.48 apply (zenon_L376_); trivial. % 1.34/1.48 apply (zenon_L241_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L379_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.48 apply (zenon_L124_); trivial. % 1.34/1.48 apply (zenon_L388_); trivial. % 1.34/1.48 apply (zenon_L395_); trivial. % 1.34/1.48 apply (zenon_L205_); trivial. % 1.34/1.48 apply (zenon_L199_); trivial. % 1.34/1.48 apply (zenon_L209_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_L401_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L379_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.48 apply (zenon_L124_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.48 apply (zenon_L405_); trivial. % 1.34/1.48 apply (zenon_L407_); trivial. % 1.34/1.48 apply (zenon_L395_); trivial. % 1.34/1.48 apply (zenon_L414_); trivial. % 1.34/1.48 apply (zenon_L199_); trivial. % 1.34/1.48 apply (zenon_L209_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L415_); trivial. % 1.34/1.48 apply (zenon_L419_); trivial. % 1.34/1.48 apply (zenon_L423_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L424_); trivial. % 1.34/1.48 apply (zenon_L428_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L415_); trivial. % 1.34/1.48 apply (zenon_L431_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L375_); trivial. % 1.34/1.48 apply (zenon_L437_); trivial. % 1.34/1.48 apply (zenon_L364_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L398_); trivial. % 1.34/1.48 apply (zenon_L364_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_L270_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_L440_); trivial. % 1.34/1.48 apply (zenon_L441_); trivial. % 1.34/1.48 apply (zenon_L442_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_L445_); trivial. % 1.34/1.48 apply (zenon_L442_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L256_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L323_); trivial. % 1.34/1.48 apply (zenon_L450_); trivial. % 1.34/1.48 apply (zenon_L460_); trivial. % 1.34/1.48 apply (zenon_L287_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_L301_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_L465_); trivial. % 1.34/1.48 apply (zenon_L469_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_L310_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L415_); trivial. % 1.34/1.48 apply (zenon_L314_); trivial. % 1.34/1.48 apply (zenon_L470_); trivial. % 1.34/1.48 apply (zenon_L460_); trivial. % 1.34/1.48 apply (zenon_L318_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_H10. zenon_intro zenon_H3cb. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3cb). zenon_intro zenon_H2fa. zenon_intro zenon_H3cc. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_H2f0. zenon_intro zenon_H2ee. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_Hdb | zenon_intro zenon_H3bf ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L4_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_L477_); trivial. % 1.34/1.48 apply (zenon_L53_); trivial. % 1.34/1.48 apply (zenon_L17_); trivial. % 1.34/1.48 apply (zenon_L74_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L58_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L480_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_L481_); trivial. % 1.34/1.48 apply (zenon_L53_); trivial. % 1.34/1.48 apply (zenon_L17_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L288_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.48 apply (zenon_L25_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.48 apply (zenon_L126_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H157 | zenon_intro zenon_H213 ]. % 1.34/1.48 apply (zenon_L482_); trivial. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H33 | zenon_intro zenon_He3 ]. % 1.34/1.48 apply (zenon_L13_); trivial. % 1.34/1.48 exact (zenon_He2 zenon_He3). % 1.34/1.48 apply (zenon_L38_); trivial. % 1.34/1.48 apply (zenon_L35_); trivial. % 1.34/1.48 apply (zenon_L152_); trivial. % 1.34/1.48 apply (zenon_L486_); trivial. % 1.34/1.48 apply (zenon_L488_); trivial. % 1.34/1.48 apply (zenon_L496_); trivial. % 1.34/1.48 apply (zenon_L353_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_L229_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L202_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_L501_); trivial. % 1.34/1.48 apply (zenon_L191_); trivial. % 1.34/1.48 apply (zenon_L193_); trivial. % 1.34/1.48 apply (zenon_L508_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L4_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L145_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_L477_); trivial. % 1.34/1.48 apply (zenon_L191_); trivial. % 1.34/1.48 apply (zenon_L193_); trivial. % 1.34/1.48 apply (zenon_L510_); trivial. % 1.34/1.48 apply (zenon_L514_); trivial. % 1.34/1.48 apply (zenon_L517_); trivial. % 1.34/1.48 apply (zenon_L522_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_L229_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L143_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.48 apply (zenon_L501_); trivial. % 1.34/1.48 apply (zenon_L524_); trivial. % 1.34/1.48 apply (zenon_L193_); trivial. % 1.34/1.48 apply (zenon_L510_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_L525_); trivial. % 1.34/1.48 apply (zenon_L514_); trivial. % 1.34/1.48 apply (zenon_L209_); trivial. % 1.34/1.48 apply (zenon_L527_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_L530_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L4_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L145_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_L535_); trivial. % 1.34/1.48 apply (zenon_L510_); trivial. % 1.34/1.48 apply (zenon_L152_); trivial. % 1.34/1.48 apply (zenon_L529_); trivial. % 1.34/1.48 apply (zenon_L517_); trivial. % 1.34/1.48 apply (zenon_L200_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_L536_); trivial. % 1.34/1.48 apply (zenon_L543_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.48 apply (zenon_L4_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L145_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.48 apply (zenon_L553_); trivial. % 1.34/1.48 apply (zenon_L542_); trivial. % 1.34/1.48 apply (zenon_L90_); trivial. % 1.34/1.48 apply (zenon_L152_); trivial. % 1.34/1.48 apply (zenon_L543_); trivial. % 1.34/1.48 apply (zenon_L376_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L555_); trivial. % 1.34/1.48 apply (zenon_L556_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_L398_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_L558_); trivial. % 1.34/1.48 apply (zenon_L556_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.48 apply (zenon_L229_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.48 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.48 apply (zenon_L404_); trivial. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.49 apply (zenon_L372_); trivial. % 1.34/1.49 apply (zenon_L542_); trivial. % 1.34/1.49 apply (zenon_L90_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L237_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_L562_); trivial. % 1.34/1.49 apply (zenon_L236_); trivial. % 1.34/1.49 apply (zenon_L376_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L536_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L404_); trivial. % 1.34/1.49 apply (zenon_L393_); trivial. % 1.34/1.49 apply (zenon_L35_); trivial. % 1.34/1.49 apply (zenon_L152_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L199_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L563_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L568_); trivial. % 1.34/1.49 apply (zenon_L393_); trivial. % 1.34/1.49 apply (zenon_L394_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L199_); trivial. % 1.34/1.49 apply (zenon_L570_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_L231_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_L4_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L145_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.49 apply (zenon_L25_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.49 apply (zenon_L545_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.34/1.49 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.49 apply (zenon_L222_); trivial. % 1.34/1.49 apply (zenon_L551_); trivial. % 1.34/1.49 apply (zenon_L35_); trivial. % 1.34/1.49 apply (zenon_L152_); trivial. % 1.34/1.49 apply (zenon_L230_); trivial. % 1.34/1.49 apply (zenon_L376_); trivial. % 1.34/1.49 apply (zenon_L578_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L238_); trivial. % 1.34/1.49 apply (zenon_L582_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L202_); trivial. % 1.34/1.49 apply (zenon_L583_); trivial. % 1.34/1.49 apply (zenon_L587_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_L593_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L271_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L604_); trivial. % 1.34/1.49 apply (zenon_L642_); trivial. % 1.34/1.49 apply (zenon_L281_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L271_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L594_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L257_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.34/1.49 apply (zenon_L645_); trivial. % 1.34/1.49 apply (zenon_L193_); trivial. % 1.34/1.49 apply (zenon_L646_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L91_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_L305_); trivial. % 1.34/1.49 apply (zenon_L652_); trivial. % 1.34/1.49 apply (zenon_L444_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L591_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_L659_); trivial. % 1.34/1.49 apply (zenon_L311_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_L286_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L278_); trivial. % 1.34/1.49 apply (zenon_L661_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L297_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L668_); trivial. % 1.34/1.49 apply (zenon_L673_); trivial. % 1.34/1.49 apply (zenon_L147_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L229_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L202_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.49 apply (zenon_L273_); trivial. % 1.34/1.49 apply (zenon_L508_); trivial. % 1.34/1.49 apply (zenon_L667_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_L675_); trivial. % 1.34/1.49 apply (zenon_L464_); trivial. % 1.34/1.49 apply (zenon_L302_); trivial. % 1.34/1.49 apply (zenon_L682_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_L683_); trivial. % 1.34/1.49 apply (zenon_L692_); trivial. % 1.34/1.49 apply (zenon_L318_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H10. zenon_intro zenon_H3c9. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H2ac. zenon_intro zenon_H3ca. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H2ad. zenon_intro zenon_H2ab. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L696_); trivial. % 1.34/1.49 apply (zenon_L701_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L322_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_L702_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_L487_); trivial. % 1.34/1.49 apply (zenon_L707_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L322_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_L702_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.49 apply (zenon_L27_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.49 apply (zenon_L320_); trivial. % 1.34/1.49 apply (zenon_L709_); trivial. % 1.34/1.49 apply (zenon_L17_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L288_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_L495_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L494_); trivial. % 1.34/1.49 apply (zenon_L716_); trivial. % 1.34/1.49 apply (zenon_L486_); trivial. % 1.34/1.49 apply (zenon_L350_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L288_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.49 apply (zenon_L25_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.49 apply (zenon_L27_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.49 apply (zenon_L320_); trivial. % 1.34/1.49 apply (zenon_L352_); trivial. % 1.34/1.49 apply (zenon_L38_); trivial. % 1.34/1.49 apply (zenon_L35_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.49 apply (zenon_L25_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.34/1.49 apply (zenon_L27_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.34/1.49 apply (zenon_L717_); trivial. % 1.34/1.49 apply (zenon_L723_); trivial. % 1.34/1.49 apply (zenon_L579_); trivial. % 1.34/1.49 apply (zenon_L38_); trivial. % 1.34/1.49 apply (zenon_L343_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L146_); trivial. % 1.34/1.49 apply (zenon_L147_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L725_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L731_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L165_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.49 apply (zenon_L727_); trivial. % 1.34/1.49 apply (zenon_L734_); trivial. % 1.34/1.49 apply (zenon_L435_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L738_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L415_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L739_); trivial. % 1.34/1.49 apply (zenon_L214_); trivial. % 1.34/1.49 apply (zenon_L215_); trivial. % 1.34/1.49 apply (zenon_L486_); trivial. % 1.34/1.49 apply (zenon_L741_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L754_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L757_); trivial. % 1.34/1.49 apply (zenon_L90_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L739_); trivial. % 1.34/1.49 apply (zenon_L393_); trivial. % 1.34/1.49 apply (zenon_L35_); trivial. % 1.34/1.49 apply (zenon_L761_); trivial. % 1.34/1.49 apply (zenon_L752_); trivial. % 1.34/1.49 apply (zenon_L762_); trivial. % 1.34/1.49 apply (zenon_L772_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L754_); trivial. % 1.34/1.49 apply (zenon_L400_); trivial. % 1.34/1.49 apply (zenon_L772_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L415_); trivial. % 1.34/1.49 apply (zenon_L773_); trivial. % 1.34/1.49 apply (zenon_L774_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L775_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L777_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.49 apply (zenon_L755_); trivial. % 1.34/1.49 apply (zenon_L122_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L778_); trivial. % 1.34/1.49 apply (zenon_L738_); trivial. % 1.34/1.49 apply (zenon_L784_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_L785_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L322_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_L642_); trivial. % 1.34/1.49 apply (zenon_L441_); trivial. % 1.34/1.49 apply (zenon_L790_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_L791_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L794_); trivial. % 1.34/1.49 apply (zenon_L460_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L775_); trivial. % 1.34/1.49 apply (zenon_L797_); trivial. % 1.34/1.49 apply (zenon_L798_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L288_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L801_); trivial. % 1.34/1.49 apply (zenon_L35_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L801_); trivial. % 1.34/1.49 apply (zenon_L716_); trivial. % 1.34/1.49 apply (zenon_L486_); trivial. % 1.34/1.49 apply (zenon_L147_); trivial. % 1.34/1.49 apply (zenon_L803_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L465_); trivial. % 1.34/1.49 apply (zenon_L803_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L415_); trivial. % 1.34/1.49 apply (zenon_L805_); trivial. % 1.34/1.49 apply (zenon_L803_); trivial. % 1.34/1.49 apply (zenon_L806_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L775_); trivial. % 1.34/1.49 apply (zenon_L803_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_H10. zenon_intro zenon_H3cd. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3cd). zenon_intro zenon_H327. zenon_intro zenon_H3ce. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H31b. zenon_intro zenon_H31a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H180 | zenon_intro zenon_H3be ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_Hdb | zenon_intro zenon_H3bf ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L813_); trivial. % 1.34/1.49 apply (zenon_L17_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_L148_); trivial. % 1.34/1.49 apply (zenon_L819_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L821_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L828_); trivial. % 1.34/1.49 apply (zenon_L90_); trivial. % 1.34/1.49 apply (zenon_L830_); trivial. % 1.34/1.49 apply (zenon_L831_); trivial. % 1.34/1.49 apply (zenon_L846_); trivial. % 1.34/1.49 apply (zenon_L847_); trivial. % 1.34/1.49 apply (zenon_L861_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L821_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L828_); trivial. % 1.34/1.49 apply (zenon_L863_); trivial. % 1.34/1.49 apply (zenon_L830_); trivial. % 1.34/1.49 apply (zenon_L831_); trivial. % 1.34/1.49 apply (zenon_L846_); trivial. % 1.34/1.49 apply (zenon_L847_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L821_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L536_); trivial. % 1.34/1.49 apply (zenon_L855_); trivial. % 1.34/1.49 apply (zenon_L831_); trivial. % 1.34/1.49 apply (zenon_L860_); trivial. % 1.34/1.49 apply (zenon_L819_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_L270_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L256_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.49 apply (zenon_L275_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L257_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.49 apply (zenon_L273_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.34/1.49 apply (zenon_L864_); trivial. % 1.34/1.49 apply (zenon_L603_); trivial. % 1.34/1.49 apply (zenon_L865_); trivial. % 1.34/1.49 apply (zenon_L869_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L261_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.49 apply (zenon_L266_); trivial. % 1.34/1.49 apply (zenon_L872_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.49 apply (zenon_L266_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H10. zenon_intro zenon_H19b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H187. zenon_intro zenon_H19c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H186. zenon_intro zenon_H193. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L267_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H41 | zenon_intro zenon_H21b ]. % 1.34/1.49 apply (zenon_L15_); trivial. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hdc ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H312 ]. % 1.34/1.49 apply (zenon_L180_); trivial. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H33 | zenon_intro zenon_H1c ]. % 1.34/1.49 apply (zenon_L643_); trivial. % 1.34/1.49 exact (zenon_H1b zenon_H1c). % 1.34/1.49 exact (zenon_Hdb zenon_Hdc). % 1.34/1.49 apply (zenon_L412_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L873_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_L875_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L876_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L257_); trivial. % 1.34/1.49 apply (zenon_L820_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_L286_); trivial. % 1.34/1.49 apply (zenon_L882_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L288_); trivial. % 1.34/1.49 apply (zenon_L314_); trivial. % 1.34/1.49 apply (zenon_L147_); trivial. % 1.34/1.49 apply (zenon_L888_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L892_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_L265_); trivial. % 1.34/1.49 apply (zenon_L464_); trivial. % 1.34/1.49 apply (zenon_L140_); trivial. % 1.34/1.49 apply (zenon_L302_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L892_); trivial. % 1.34/1.49 apply (zenon_L893_); trivial. % 1.34/1.49 apply (zenon_L302_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L821_); trivial. % 1.34/1.49 apply (zenon_L314_); trivial. % 1.34/1.49 apply (zenon_L847_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L821_); trivial. % 1.34/1.49 apply (zenon_L893_); trivial. % 1.34/1.49 apply (zenon_L847_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_L286_); trivial. % 1.34/1.49 apply (zenon_L847_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H10. zenon_intro zenon_H3c9. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H2ac. zenon_intro zenon_H3ca. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H2ad. zenon_intro zenon_H2ab. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_L696_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L322_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.49 apply (zenon_L299_); trivial. % 1.34/1.49 apply (zenon_L894_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L322_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_L702_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_L899_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_L902_); trivial. % 1.34/1.49 apply (zenon_L17_); trivial. % 1.34/1.49 apply (zenon_L342_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L322_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L903_); trivial. % 1.34/1.49 apply (zenon_L905_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_L875_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L424_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L874_); trivial. % 1.34/1.49 apply (zenon_L111_); trivial. % 1.34/1.49 apply (zenon_L906_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L322_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L908_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_L702_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_L899_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.34/1.49 apply (zenon_L121_); trivial. % 1.34/1.49 apply (zenon_L901_); trivial. % 1.34/1.49 apply (zenon_L866_); trivial. % 1.34/1.49 apply (zenon_L214_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L288_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_L913_); trivial. % 1.34/1.49 apply (zenon_L350_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L288_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L883_); trivial. % 1.34/1.49 apply (zenon_L915_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_L916_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L920_); trivial. % 1.34/1.49 apply (zenon_L343_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L915_); trivial. % 1.34/1.49 apply (zenon_L146_); trivial. % 1.34/1.49 apply (zenon_L147_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_L922_); trivial. % 1.34/1.49 apply (zenon_L350_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L424_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L923_); trivial. % 1.34/1.49 apply (zenon_L915_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.34/1.49 apply (zenon_L916_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L920_); trivial. % 1.34/1.49 apply (zenon_L417_); trivial. % 1.34/1.49 apply (zenon_L113_); trivial. % 1.34/1.49 apply (zenon_L915_); trivial. % 1.34/1.49 apply (zenon_L927_); trivial. % 1.34/1.49 apply (zenon_L928_); trivial. % 1.34/1.49 apply (zenon_L819_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L821_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_L846_); trivial. % 1.34/1.49 apply (zenon_L350_); trivial. % 1.34/1.49 apply (zenon_L861_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.34/1.49 apply (zenon_L415_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.34/1.49 apply (zenon_L323_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.34/1.49 apply (zenon_L838_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.34/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.34/1.49 apply (zenon_L843_); trivial. % 1.34/1.49 apply (zenon_L417_); trivial. % 1.34/1.49 apply (zenon_L845_); trivial. % 1.34/1.49 apply (zenon_L422_); trivial. % 1.34/1.49 apply (zenon_L350_); trivial. % 1.34/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L424_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L923_); trivial. % 1.36/1.49 apply (zenon_L855_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L858_); trivial. % 1.36/1.49 apply (zenon_L927_); trivial. % 1.36/1.49 apply (zenon_L929_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_L935_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.36/1.49 apply (zenon_L942_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L943_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L944_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L878_); trivial. % 1.36/1.49 apply (zenon_L934_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_L785_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L946_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_L868_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H182 | zenon_intro zenon_H19a ]. % 1.36/1.49 apply (zenon_L266_); trivial. % 1.36/1.49 apply (zenon_L951_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_L875_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L952_); trivial. % 1.36/1.49 apply (zenon_L955_); trivial. % 1.36/1.49 apply (zenon_L311_); trivial. % 1.36/1.49 apply (zenon_L460_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L946_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_L956_); trivial. % 1.36/1.49 apply (zenon_L797_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L946_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L878_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L409_); trivial. % 1.36/1.49 apply (zenon_L214_); trivial. % 1.36/1.49 apply (zenon_L311_); trivial. % 1.36/1.49 apply (zenon_L460_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L958_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_L350_); trivial. % 1.36/1.49 apply (zenon_L888_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_L959_); trivial. % 1.36/1.49 apply (zenon_L469_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L305_); trivial. % 1.36/1.49 apply (zenon_L831_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L424_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L961_); trivial. % 1.36/1.49 apply (zenon_L422_); trivial. % 1.36/1.49 apply (zenon_L423_); trivial. % 1.36/1.49 apply (zenon_L460_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_L962_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L933_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L939_); trivial. % 1.36/1.49 apply (zenon_L968_); trivial. % 1.36/1.49 apply (zenon_L865_); trivial. % 1.36/1.49 apply (zenon_L975_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L943_); trivial. % 1.36/1.49 apply (zenon_L975_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_H10. zenon_intro zenon_H3cb. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3cb). zenon_intro zenon_H2fa. zenon_intro zenon_H3cc. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_H2f0. zenon_intro zenon_H2ee. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_Hdb | zenon_intro zenon_H3bf ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L87_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_L977_); trivial. % 1.36/1.49 apply (zenon_L879_); trivial. % 1.36/1.49 apply (zenon_L17_); trivial. % 1.36/1.49 apply (zenon_L990_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L994_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L699_); trivial. % 1.36/1.49 apply (zenon_L298_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L997_); trivial. % 1.36/1.49 apply (zenon_L1000_); trivial. % 1.36/1.49 apply (zenon_L1002_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L91_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L985_); trivial. % 1.36/1.49 apply (zenon_L1005_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L650_); trivial. % 1.36/1.49 apply (zenon_L984_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L91_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L980_); trivial. % 1.36/1.49 apply (zenon_L1013_); trivial. % 1.36/1.49 apply (zenon_L1014_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L989_); trivial. % 1.36/1.49 apply (zenon_L1013_); trivial. % 1.36/1.49 apply (zenon_L1023_); trivial. % 1.36/1.49 apply (zenon_L1025_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_L7_); trivial. % 1.36/1.49 apply (zenon_L907_); trivial. % 1.36/1.49 apply (zenon_L661_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L908_); trivial. % 1.36/1.49 apply (zenon_L661_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L828_); trivial. % 1.36/1.49 apply (zenon_L979_); trivial. % 1.36/1.49 apply (zenon_L486_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L912_); trivial. % 1.36/1.49 apply (zenon_L486_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_L1035_); trivial. % 1.36/1.49 apply (zenon_L147_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1036_); trivial. % 1.36/1.49 apply (zenon_L915_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1038_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_L147_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1042_); trivial. % 1.36/1.49 apply (zenon_L1044_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_L1046_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L890_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L145_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_L479_); trivial. % 1.36/1.49 apply (zenon_L1047_); trivial. % 1.36/1.49 apply (zenon_L1051_); trivial. % 1.36/1.49 apply (zenon_L1056_); trivial. % 1.36/1.49 apply (zenon_L1066_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1075_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L168_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L165_); trivial. % 1.36/1.49 apply (zenon_L1070_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L145_); trivial. % 1.36/1.49 apply (zenon_L1073_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_L1079_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1080_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L536_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L842_); trivial. % 1.36/1.49 apply (zenon_L1004_); trivial. % 1.36/1.49 apply (zenon_L35_); trivial. % 1.36/1.49 apply (zenon_L1081_); trivial. % 1.36/1.49 apply (zenon_L1082_); trivial. % 1.36/1.49 apply (zenon_L1088_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1080_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.36/1.49 apply (zenon_L25_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_L605_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.36/1.49 apply (zenon_L126_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H10. zenon_intro zenon_H3f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H34. zenon_intro zenon_H40. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H36. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H172 | zenon_intro zenon_H17f ]. % 1.36/1.49 apply (zenon_L88_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H88 | zenon_intro zenon_H17d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.36/1.49 apply (zenon_L1090_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.36/1.49 apply (zenon_L1091_); trivial. % 1.36/1.49 exact (zenon_H1b3 zenon_H1b4). % 1.36/1.49 exact (zenon_H17c zenon_H17d). % 1.36/1.49 apply (zenon_L565_); trivial. % 1.36/1.49 apply (zenon_L542_); trivial. % 1.36/1.49 apply (zenon_L167_); trivial. % 1.36/1.49 apply (zenon_L979_); trivial. % 1.36/1.49 apply (zenon_L486_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.36/1.49 apply (zenon_L25_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_L564_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H10. zenon_intro zenon_H25e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H255. zenon_intro zenon_H25f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_L1093_); trivial. % 1.36/1.49 apply (zenon_L1094_); trivial. % 1.36/1.49 apply (zenon_L1004_); trivial. % 1.36/1.49 apply (zenon_L1095_); trivial. % 1.36/1.49 apply (zenon_L845_); trivial. % 1.36/1.49 apply (zenon_L1082_); trivial. % 1.36/1.49 apply (zenon_L1100_); trivial. % 1.36/1.49 apply (zenon_L1088_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1080_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L856_); trivial. % 1.36/1.49 apply (zenon_L1102_); trivial. % 1.36/1.49 apply (zenon_L1111_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L1113_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L231_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L1115_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H92 | zenon_intro zenon_H142 ]. % 1.36/1.49 apply (zenon_L1118_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H10. zenon_intro zenon_H143. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Ha3. zenon_intro zenon_H144. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha2. zenon_intro zenon_Ha4. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L1117_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H89. zenon_intro zenon_H8a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L145_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H10. zenon_intro zenon_H4f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H42. zenon_intro zenon_H50. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H43. zenon_intro zenon_H44. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_L571_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.36/1.49 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_L222_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H10. zenon_intro zenon_H56. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H14. zenon_intro zenon_H57. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1f0 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c3 ]. % 1.36/1.49 apply (zenon_L1006_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10. zenon_intro zenon_H2c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2ba. zenon_intro zenon_H2c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H41 | zenon_intro zenon_H233 ]. % 1.36/1.49 apply (zenon_L15_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H172 | zenon_intro zenon_H1a2 ]. % 1.36/1.49 apply (zenon_L88_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H88 | zenon_intro zenon_H2e8 ]. % 1.36/1.49 apply (zenon_L33_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H22c | zenon_intro zenon_H2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ]. % 1.36/1.49 apply (zenon_L336_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H111 | zenon_intro zenon_Hf8 ]. % 1.36/1.49 apply (zenon_L498_); trivial. % 1.36/1.49 apply (zenon_L129_); trivial. % 1.36/1.49 exact (zenon_H1 zenon_H2). % 1.36/1.49 apply (zenon_L1121_); trivial. % 1.36/1.49 apply (zenon_L230_); trivial. % 1.36/1.49 apply (zenon_L1123_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1080_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1125_); trivial. % 1.36/1.49 apply (zenon_L1082_); trivial. % 1.36/1.49 apply (zenon_L1128_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1080_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L165_); trivial. % 1.36/1.49 apply (zenon_L932_); trivial. % 1.36/1.49 apply (zenon_L1082_); trivial. % 1.36/1.49 apply (zenon_L661_); trivial. % 1.36/1.49 apply (zenon_L1129_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_L593_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1130_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_L273_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H165. zenon_intro zenon_H170. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H163. zenon_intro zenon_H164. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_L27_); trivial. % 1.36/1.49 apply (zenon_L1134_); trivial. % 1.36/1.49 apply (zenon_L826_); trivial. % 1.36/1.49 apply (zenon_L167_); trivial. % 1.36/1.49 apply (zenon_L1135_); trivial. % 1.36/1.49 apply (zenon_L1141_); trivial. % 1.36/1.49 apply (zenon_L1144_); trivial. % 1.36/1.49 apply (zenon_L1147_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L91_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L305_); trivial. % 1.36/1.49 apply (zenon_L1151_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1154_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1158_); trivial. % 1.36/1.49 apply (zenon_L1005_); trivial. % 1.36/1.49 apply (zenon_L311_); trivial. % 1.36/1.49 apply (zenon_L1164_); trivial. % 1.36/1.49 apply (zenon_L1169_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L1170_); trivial. % 1.36/1.49 apply (zenon_L1129_); trivial. % 1.36/1.49 apply (zenon_L798_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_L671_); trivial. % 1.36/1.49 apply (zenon_L1174_); trivial. % 1.36/1.49 apply (zenon_L38_); trivial. % 1.36/1.49 apply (zenon_L296_); trivial. % 1.36/1.49 apply (zenon_L957_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1036_); trivial. % 1.36/1.49 apply (zenon_L885_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1038_); trivial. % 1.36/1.49 apply (zenon_L646_); trivial. % 1.36/1.49 apply (zenon_L147_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1130_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_L273_); trivial. % 1.36/1.49 apply (zenon_L1174_); trivial. % 1.36/1.49 apply (zenon_L1135_); trivial. % 1.36/1.49 apply (zenon_L1141_); trivial. % 1.36/1.49 apply (zenon_L1144_); trivial. % 1.36/1.49 apply (zenon_L1147_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1130_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_L273_); trivial. % 1.36/1.49 apply (zenon_L1175_); trivial. % 1.36/1.49 apply (zenon_L1135_); trivial. % 1.36/1.49 apply (zenon_L1176_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_L683_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1080_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1177_); trivial. % 1.36/1.49 apply (zenon_L1112_); trivial. % 1.36/1.49 apply (zenon_L311_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1153_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_L571_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.36/1.49 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_L1180_); trivial. % 1.36/1.49 apply (zenon_L20_); trivial. % 1.36/1.49 apply (zenon_L311_); trivial. % 1.36/1.49 apply (zenon_L1184_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1166_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1125_); trivial. % 1.36/1.49 apply (zenon_L311_); trivial. % 1.36/1.49 apply (zenon_L1186_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L1170_); trivial. % 1.36/1.49 apply (zenon_L1187_); trivial. % 1.36/1.49 apply (zenon_L798_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H10. zenon_intro zenon_H3c9. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H2ac. zenon_intro zenon_H3ca. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H2ad. zenon_intro zenon_H2ab. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c0 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1031_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_L1190_); trivial. % 1.36/1.49 apply (zenon_L834_); trivial. % 1.36/1.49 apply (zenon_L700_); trivial. % 1.36/1.49 apply (zenon_L1194_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L1195_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L1191_); trivial. % 1.36/1.49 apply (zenon_L983_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L409_); trivial. % 1.36/1.49 apply (zenon_L38_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L1195_); trivial. % 1.36/1.49 apply (zenon_L1197_); trivial. % 1.36/1.49 apply (zenon_L701_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L702_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L899_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L1198_); trivial. % 1.36/1.49 apply (zenon_L17_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L322_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L702_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_L1200_); trivial. % 1.36/1.49 apply (zenon_L17_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_L905_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1202_); trivial. % 1.36/1.49 apply (zenon_L1204_); trivial. % 1.36/1.49 apply (zenon_L1205_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1031_); trivial. % 1.36/1.49 apply (zenon_L1206_); trivial. % 1.36/1.49 apply (zenon_L1208_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1202_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L1203_); trivial. % 1.36/1.49 apply (zenon_L1209_); trivial. % 1.36/1.49 apply (zenon_L1205_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1210_); trivial. % 1.36/1.49 apply (zenon_L1206_); trivial. % 1.36/1.49 apply (zenon_L1208_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1214_); trivial. % 1.36/1.49 apply (zenon_L1215_); trivial. % 1.36/1.49 apply (zenon_L1022_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L424_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1031_); trivial. % 1.36/1.49 apply (zenon_L1219_); trivial. % 1.36/1.49 apply (zenon_L1220_); trivial. % 1.36/1.49 apply (zenon_L1221_); trivial. % 1.36/1.49 apply (zenon_L1224_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_L775_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L777_); trivial. % 1.36/1.49 apply (zenon_L1226_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H99 | zenon_intro zenon_H3c2 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_L1035_); trivial. % 1.36/1.49 apply (zenon_L350_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L288_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1036_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.36/1.49 apply (zenon_L25_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_L1227_); trivial. % 1.36/1.49 apply (zenon_L914_); trivial. % 1.36/1.49 apply (zenon_L343_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_L146_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1031_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L1229_); trivial. % 1.36/1.49 apply (zenon_L343_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_L762_); trivial. % 1.36/1.49 apply (zenon_L147_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_L725_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L731_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H4d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.36/1.49 apply (zenon_L126_); trivial. % 1.36/1.49 apply (zenon_L1232_); trivial. % 1.36/1.49 apply (zenon_L1234_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H1b | zenon_intro zenon_H3d ]. % 1.36/1.49 apply (zenon_L727_); trivial. % 1.36/1.49 apply (zenon_L1235_); trivial. % 1.36/1.49 apply (zenon_L435_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_L738_); trivial. % 1.36/1.49 apply (zenon_L1237_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L1238_); trivial. % 1.36/1.49 apply (zenon_L1244_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H10. zenon_intro zenon_H3c3. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H173. zenon_intro zenon_H3c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H174. zenon_intro zenon_H175. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17c | zenon_intro zenon_H315 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1202_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.36/1.49 apply (zenon_L25_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_L1086_); trivial. % 1.36/1.49 apply (zenon_L749_); trivial. % 1.36/1.49 apply (zenon_L566_); trivial. % 1.36/1.49 apply (zenon_L90_); trivial. % 1.36/1.49 apply (zenon_L1245_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1099_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H10. zenon_intro zenon_H13b. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Hfa. zenon_intro zenon_H13c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hfb. zenon_intro zenon_Hf9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L740_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.36/1.49 apply (zenon_L25_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H85. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7b. zenon_intro zenon_H86. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H79. zenon_intro zenon_H7a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_L548_); trivial. % 1.36/1.49 apply (zenon_L421_); trivial. % 1.36/1.49 apply (zenon_L566_); trivial. % 1.36/1.49 apply (zenon_L1096_); trivial. % 1.36/1.49 apply (zenon_L90_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1247_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H66 | zenon_intro zenon_H94 ]. % 1.36/1.49 apply (zenon_L757_); trivial. % 1.36/1.49 apply (zenon_L979_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_L1248_); trivial. % 1.36/1.49 apply (zenon_L770_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H10. zenon_intro zenon_H30d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2d8. zenon_intro zenon_H30e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2d6. zenon_intro zenon_H2d7. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1247_); trivial. % 1.36/1.49 apply (zenon_L400_); trivial. % 1.36/1.49 apply (zenon_L1252_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H10. zenon_intro zenon_H316. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1aa. zenon_intro zenon_H317. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L424_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1031_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L1222_); trivial. % 1.36/1.49 apply (zenon_L845_); trivial. % 1.36/1.49 apply (zenon_L422_); trivial. % 1.36/1.49 apply (zenon_L423_); trivial. % 1.36/1.49 apply (zenon_L774_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_L775_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H2cd | zenon_intro zenon_H30c ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L777_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L939_); trivial. % 1.36/1.49 apply (zenon_L1253_); trivial. % 1.36/1.49 apply (zenon_L661_); trivial. % 1.36/1.49 apply (zenon_L784_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H10. zenon_intro zenon_H3c7. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H280. zenon_intro zenon_H3c8. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c1 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1254_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L1256_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H22. zenon_intro zenon_H13f. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_L1257_); trivial. % 1.36/1.49 apply (zenon_L607_); trivial. % 1.36/1.49 apply (zenon_L1258_); trivial. % 1.36/1.49 apply (zenon_L1260_); trivial. % 1.36/1.49 apply (zenon_L1261_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_L617_); trivial. % 1.36/1.49 apply (zenon_L834_); trivial. % 1.36/1.49 apply (zenon_L1263_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_L1256_); trivial. % 1.36/1.49 apply (zenon_L1264_); trivial. % 1.36/1.49 apply (zenon_L1265_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1266_); trivial. % 1.36/1.49 apply (zenon_L1261_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_L1266_); trivial. % 1.36/1.49 apply (zenon_L1265_); trivial. % 1.36/1.49 apply (zenon_L790_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L1267_); trivial. % 1.36/1.49 apply (zenon_L1147_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1269_); trivial. % 1.36/1.49 apply (zenon_L1272_); trivial. % 1.36/1.49 apply (zenon_L1176_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H10. zenon_intro zenon_H3c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H1d0. zenon_intro zenon_H3c6. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H68 | zenon_intro zenon_H29b ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_L605_); trivial. % 1.36/1.49 apply (zenon_L1277_); trivial. % 1.36/1.49 apply (zenon_L1019_); trivial. % 1.36/1.49 apply (zenon_L1279_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.36/1.49 apply (zenon_L1280_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.36/1.49 apply (zenon_L1280_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.36/1.49 apply (zenon_L284_); trivial. % 1.36/1.49 exact (zenon_H1b3 zenon_H1b4). % 1.36/1.49 exact (zenon_H68 zenon_H69). % 1.36/1.49 apply (zenon_L749_); trivial. % 1.36/1.49 apply (zenon_L1276_); trivial. % 1.36/1.49 apply (zenon_L1277_); trivial. % 1.36/1.49 apply (zenon_L1279_); trivial. % 1.36/1.49 apply (zenon_L1282_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_L605_); trivial. % 1.36/1.49 apply (zenon_L1289_); trivial. % 1.36/1.49 apply (zenon_L834_); trivial. % 1.36/1.49 apply (zenon_L296_); trivial. % 1.36/1.49 apply (zenon_L1292_); trivial. % 1.36/1.49 apply (zenon_L804_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H1 | zenon_intro zenon_H145 ]. % 1.36/1.49 apply (zenon_L1296_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H10. zenon_intro zenon_H146. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H5b. zenon_intro zenon_H147. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H250 | zenon_intro zenon_H25d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 1.36/1.49 apply (zenon_L1298_); trivial. % 1.36/1.49 apply (zenon_L749_); trivial. % 1.36/1.49 apply (zenon_L1299_); trivial. % 1.36/1.49 apply (zenon_L1295_); trivial. % 1.36/1.49 apply (zenon_L1282_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H9f | zenon_intro zenon_H135 ]. % 1.36/1.49 apply (zenon_L323_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H10. zenon_intro zenon_H138. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H112. zenon_intro zenon_H139. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He2 | zenon_intro zenon_H13a ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Haf | zenon_intro zenon_Hdd ]. % 1.36/1.49 apply (zenon_L1301_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H10. zenon_intro zenon_Hdf. % 1.36/1.49 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hd3. zenon_intro zenon_He0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hd4. zenon_intro zenon_Hd2. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b2 ]. % 1.36/1.49 apply (zenon_L1181_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He6 | zenon_intro zenon_H69 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1b6 ]. % 1.36/1.49 apply (zenon_L1181_); trivial. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1b4 ]. % 1.36/1.49 apply (zenon_L284_); trivial. % 1.36/1.49 exact (zenon_H1b3 zenon_H1b4). % 1.36/1.49 exact (zenon_H68 zenon_H69). % 1.36/1.49 apply (zenon_L804_); trivial. % 1.36/1.49 apply (zenon_L803_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H14a. zenon_intro zenon_H29d. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c3 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_L1267_); trivial. % 1.36/1.49 apply (zenon_L1187_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H10. zenon_intro zenon_H1c4. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b9. zenon_intro zenon_H1c5. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H1ba. zenon_intro zenon_H1b8. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H205 | zenon_intro zenon_H214 ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1269_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H6e. zenon_intro zenon_H1a1. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5 | zenon_intro zenon_H13d ]. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H153 | zenon_intro zenon_H16e ]. % 1.36/1.49 apply (zenon_L273_); trivial. % 1.36/1.49 apply (zenon_L1302_); trivial. % 1.36/1.49 apply (zenon_L113_); trivial. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H10. zenon_intro zenon_H215. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H209. zenon_intro zenon_H216. % 1.36/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20a. zenon_intro zenon_H20b. % 1.36/1.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3 | zenon_intro zenon_H19f ]. % 1.36/1.49 apply (zenon_L1269_); trivial. % 1.36/1.49 apply (zenon_L974_); trivial. % 1.36/1.49 Qed. % 1.36/1.49 % SZS output end Proof % 1.36/1.49 (* END-PROOF *) % 1.36/1.49 nodes searched: 53283 % 1.36/1.49 max branch formulas: 544 % 1.36/1.49 proof nodes created: 9179 % 1.36/1.49 formulas created: 51902 % 1.36/1.49 %------------------------------------------------------------------------------